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<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge,IE=9,chrome=1"><meta name="generator" content="MATLAB 2021a"><title>C-magnet (Section 4.3.2)</title><style type="text/css">.rtcContent { padding: 30px; } .S0 { margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(0, 0, 0); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: normal; text-align: left; }
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.S12 { margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; }</style></head><body><div class = rtcContent><div class = 'S0'><span>Companion software for "Volker Ziemann, </span><span style=' font-style: italic;'>Hands-on Accelerator physics using MATLAB, CRCPress, 2019</span><span>" (</span><a href = "https://www.crcpress.com/9781138589940"><span>https://www.crcpress.com/9781138589940</span></a><span>)</span></div><h1 class = 'S1'><span>C-magnet (Section 4.3.2)</span></h1><div class = 'S0'><span>Volker Ziemann, 211107, CC-BY-SA-4.0</span></div><div class = 'S0'><span style=' font-weight: bold;'>Important:</span><span> this example requires the PDE toolbox!</span></div><div class = 'S0'><span>Magnetostatic problems in two dimensions </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">x</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">y</span><span> are described by the Poisson equation for the vector potential </span><span texencoding="A_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="16" height="20" /></span></div><div class = 'S2'><span mathmlencoding="<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow><mo>-</mo><munderover accent="true"><mrow><mo>∇</mo></mrow><mrow></mrow><mrow><mo stretchy="false">→</mo></mrow></munderover><mo>⋅</mo><mrow><mo>(</mo><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><msub><mrow><mi>μ</mi></mrow><mrow><mi>r</mi></mrow></msub></mrow></mfrac><munderover accent="true"><mrow><mo>∇</mo></mrow><mrow></mrow><mrow><mo stretchy="false">→</mo></mrow></munderover><msub><mrow><mi>A</mi></mrow><mrow><mi>z</mi></mrow></msub></mrow><mo>)</mo></mrow><mo>=</mo><msub><mrow><mi>μ</mi></mrow><mrow><mn>0</mn></mrow></msub><msub><mrow><mi>J</mi></mrow><mrow><mi>z</mi></mrow></msub></mrow></math>" style="vertical-align:-17px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASAAAABWCAYAAABvj0voAAAVn0lEQVR4Xu3dBbQszVEH8H9wC8HdXYJDgobgEtyCS3AI7hqCBAjy4RI0EJyQBHeHYIHgLsHd3c8vr/v75u3buzu6M7u365x7ntyZluqe6uqqf1XdKY0aBxoHGgdW4sCdVuq3dds40DjQOJAmgNomaBxoHFiNA00Arcb61nHjQONAE0BtDzQONA6sxoEmgFZjfeu4caBxoAmgtgcaBxoHVuNAE0Crsb513DjQONAEUNsDjQONA6txoAmg07P+rZJ8WpK7JfnT03d/0T3eJckvJvmUJF900TO9kMk1AXTahXzTJA9O8sZJvu+0XV+b3l6u8Pbjkzzw2sz6TCfaBNDpFu51knxLkrdN8tDTdXste7pXkm9N8kFJPutacuBMJt0E0GkW6p5JvjPJx7VT+TQMT/IBST4jyb2TfNPJem0dDeLAuQigeyR53iRfNmh223j4mYtd4ieTvME2hjTbKD4zyScm+dvZWpy3oW9I8rpJXjrJb87bdGttDg6ciwB68iQ/nuS2JF8xx8RP1MbjJPn+JM+d5CU2/KGOZcd9krx3kldP8ndjG1nwvTsX4f8vSe6e5F8X7Ks1PYID5yKATO3ZkzwyyYcn+aoRc13jlY8qGoJT+LvWGMAJ+uRxIoD8/P0J+hvahevvD5aD652HvtyeX5YD5ySAcOJlk/xIkg9M8vnLsmZy605cWtsjkrzZ5Na224A9ZI7PlOSNkvzxBof6kCRvk+RVkvzwBsd3bYd0bgLoCZP8bJIXKYbFd9+o6o+vP53krkmeb6Mf5ZybHrbpa5P8TRLXMh6oLdGzFhvQHyR5sST/taXBXeexnEoAvUuSz52B0Y+XxE8lKj+sB2Pof8zQ/lxN8Lx8ffHCfPBcjS7Qjg/y6Wdo94l22nDl+dAkj5qh7bmaYCx3Jf7IJJ88V6OtnWkcOJUAoqksgUz9tySfk+T+Sfx9C/T4SX49yTMmec4kfznjoF6jzPV9k/zcDO3+WZJnmKGd3SaMjRvcFXQr9JRJ/jDJ/xV74haN5lvh1cnGcSoBNNeEnrhcbVzBvqeo+1sLZ7hv0fYA4HyEc9CrFcHzCqUxtjBXvK0QcOVXJ/nn4hXbqpPAmrxfkvslgZRutDIHzk0AvVSSnyobiBrtNNsSPW6SxxSD7PMn+e2Jg3vhJO9a5vkmSZ5towIIwputS4jJ1DlPZNnB13lSfyfJPxYtiMBstCIHzkkAAfQ59R+Q5AtW5NmhrgENeYRgf1yXppLrXDWYfkgHRb0lDQi6W4zbqyb5q6kTPsH735bk9ZKwzUFKN1qRA+cigJ40yY8l+dINCx/LWDc3I/Q3zryu75DkKzemAXFtw2Wdi/DBvuog+I0kLzjzGrXmBnLgXAQQIB+D7paxPzQ016//TPK0SaBv56StCSB7R2gMATSnoX1Onu1ri8fuL5JA10uJAtbRaCUOnIsAWok9g7r9mGLYFOm+BPBwawJoEHM29jAj+duVA43ToNFKHGgCaD7G/1IBSLqWAOXNTU0AzcfRt07yNQU4CQf1P/M13VoawoEmgIZw6+pnXb9qCAJcDRV/bmoCaD6OPnW5NgoWfvkSYzhf662l3hxoAqg3qw4+yFX+oAJAfKF5mryllSaA5mUsjyob0Mcm+YR5m26t9eVAE0B9OXX4OTgYGJgvTPJe8zTZBNBCfKzNCt8BFP3RJK+8cF+t+Ss40ATQ9K2BhxJyPUWSdyw5n6e3emsLTQOal6vVDgRnJUxjbq/lvKO90NbWEEBzxYW9dgnHWHtpJBuDrkUvXhJgLTGmJQXQCyT5tSRT94PcQB8xYfLCI56r5M2e0EyvV2XY/K3y5Csm+Yleb7WHKgcIbUBONjSo/0r/W3Jfqfwidc5BmrrhjrW/7/fiuf4oCUMg4gZ99ICGBGJKqQBEtoVQjDcvoEP4nydbMNXDkgII+7+jpC/1d/ieIZknX6kkXoPVsrZjSJgEcKAf2SOXJntfNgV4INdm1+dGwzkg/OhPOlkVPjrJJ/VtZg0BZGyMfgaKvjxJ30x1T1Aimp2UWwnHEBri1OeGJxiXoqUFkIBXISSIRie2q6+Af1gRvG8xYfISx8NP/XsR5KdwjYvaF18oU8N7Thj7dX5VehwxdXJ10X4kpuvtBV5LAHFVQw0TKDbcsxRMxrGFBB6TV8jzWwkklGrVdfDhxRB9bA5jf7+0ADIuRf1etAxQaRuVPI7RcyT53WLIHZt+gxG4m6mQ8DtFUKuk9YSmggE108Cx+bbf38wBh269wfxMyb3dm0drCSADFNfko0Lg/J/aY9Rg87wW6j1thXx87BZzpt/YN7dTCCBG9Hr1+u4kapkdI3d9sWA0iTEEi/PzJZ+TIFvEo0igL02uChKUyQ30VEt3dqHt+xY/vcxNXi7Byb1pTQHUlZwSRfmID6ndKl46YZ8nye/3nuHyD9LgqJ/yzEiOthSxU9RYuKXAczRSmikN1fWLcboaavfN60kKAPP9JxQKeI9y9fq8JK5yaJAdYQLDXf0FOCMBz61qxnBmqvCrIAHyjUqX05vWFEAGyebA9oDku6kbcN8Evi4JA7bE51shQac1EJMx+psXHJg8y69f2pfidqkaaT7+CswjUAnWq4hHkz1OnqIxKXFBFxidbWAZLas30Vpzky9N+FnzV/OK1f6X7neJ9u1FB4hcR/+004G0Lg545PDmMJmDHEAgKA5gfxoDO1BvWlsAiXLnfUE/VFT5fYNn2JK/+LXKc70nuPCDvDWuD8g1xBzmJGldaRc+0JfsNAyzwn7hg5k7H/bTFEM/YW8zCzO5yt72q0XoyjA4hlxbGTF5Ql3FfDg29dIG/TpWJzb7D2KHcr0/V6rpdd+y7I3uPKqgJXi4z+fS9NgJv710JAe64gSDaG0BpH/4E6o+kmr1V/bMQELxNyy/HzTBhR/unqCulD6cSyBeIdoNIhz2pUEhFBmpuc9t/qEERsHwLHRFNQ3ExqeKKW3KlWhpT1gXC+Tj8RGNJXthjhxQbz+ilDQcDk0SObT+fGcSHDfWEb+VJpqLXJsVpkRslINT8a4tgAy8C0z84iRsAl2i3sGWMBbW+/pcDJzaDq9cZbrSL1usiTVmjl1goo1NSOy65F1daEjyQY8hOb0lcLOJK4FkvFP5hzEsXU6ZNlDLSk/FAjkg5zCc79NgjvG3fkNXJVnDR57FuW1rNHBAXHvDLWVX8B0b92Tk69EOejzQBSZSDan83QqbPDMQl1zvc1W+YG96mSRfkuT3eozxqkfeLQmhiWzmLVYGHTu9LjDxNZMwNlZiT+Amd4Xheh1KtAWoaVrjf3deVnCypkk9ZhMc2ue+5x1unAiIN8d19hyJzYzg2heLyGlTIQ2DjcQHmNFtlxlilBd0nwYkPwp7yxRSIcHH2Ze6wMTdjWByTsspEP/uOLiWK76FCx0jxxJU9meXly/Ni9IFJtJU5Luu5EO1mf0MJYZStiMaR1eoaYegs9ZIgjdX7yXJ/q9GUzXDgErPkar9Z18qYPAWNdpoq6AGc11ra/UX/MI3/BtMVwmgwarUTs8wPlWV7jOoLjCRRuJubmOI0XFvnQLx3+2fUfe28p8CEYVPjPUKfFg5yTXH09A9zfvMe+vPVGCitbAm1ga/XDVdlcfYTHwMfTBfo4yaIxhq7a0dYUfonRu5qqpDh3ZzUTkUKRMcC67Mrom7BIAJh6e8le9MTBzP5jEUPOMzIzQSijMKhLoFG1BlCACc6xaioptgNepNgfjvMlzsj/QZjJ28N1WDGbPxgK60YbF4cS6NuuBHVyOVJGguTjsI6KEljn0gPhbI8X1atv3ITSxv8y93UNlL8pXnjVAFplN55NzIQeDqxZmjjFOX3Cz8ngCire9WJ75n0ThVCaGNiut6ZKk+8z4HGFHd7jyWzA7c76MO3y0JICEATlz0vSU+zGbEpK1GKl+6AOoCE200djjxUw8ZEnDY2cgOGXuuHjT79nhNbUszcYKP2tgDpAiIgX6mCqC1vGA0RVcvsZHVI2X67HQ0Ongq68iRUDWlyh4eZ6WUup4x5aR8f4dgCfUZ7cCjwaWNoi0JIBOowEQaBVCiU3aUcWsUN4a/RHWtdcYt8lCNwPVy6WRYU9e4C0wEtPSh8fgNrQFG1Vcznvv9kOFfH+qMIc9W9/Lw1en3Rr2C0RZkRxxLa3nBmEvYbbv2H1dKtwffEy8jGxEvVZc4YTgQdqvEVq1GcQXQBE4hhvoKldAGbZjDAE3Cv03dnGMX66r3usBEz4zCFsw9qAPtde1J1PihSa3OQQB1gYlYQYu5z0AeAxv+QtnwxzIfEOgEO1oaXa6PausA86iHycDprfZ41/7TxdAROlLOAu4qkiABP7gEm6pD0u9qHFw1d3QnQQvlnAF+rbcSoFvXPMSJQKPixOHeH4R+7na0NQHUBSYKcRgL8T/Vjqj3b/3Jb1QxJafq/1T9dIGJNuKQ/E3GWA3PwIs/cGTQXZ4SCARDlwizXVuH3zuhh+KwaK01hER6VsjscyIpRGpaGrY51yHXLhqqa644Ps4DOcvxXViNQxPxVBNKNNOKBq9zl0jsHgW8WHFavNpgK90YTp5RHtKriIBkL+oSft+u1W5NABloxdawxI+F+J9qE3WNtOwjEjNdIlVgouq0Q6+MbHsMmwzLsFLcwYfIuldvFACdk7Z7wlL5d4UY/Jj/d7IPoS4QkeCrmK4hbaz5bE0nUsfgqvSoovlwt+OLb5zNzlw5c2oYBh7i2V2LRtOdh/LihIsfGCM2MoLO90hwcSIA4NZsFvt40I0T6/7+JmP4FgUQYCKEJS/VGIj/KTdErQWvzyXTsZ5yTlf1xSsJqcyD2JfAFGgwPI9IqIWaafs0DfYGdhQARDaMSoQXT6WPDbFJ8dj40Bio4bpco6QPGUpdMN0YBPLQ/uZ+nv2HB4q9h7OG/Ywnr4IrRQ4QOpw40NKyTlRiaGZMpk3Wq1X9XS2yID0KGeFQYIsl1FzP2GdpxYcwRTxrxmbdCD0ufut709pvUQDNvUhLtkdI1tK+fa4XS47lurRNk6of2N1LKMDYQpDer+kjRmNZVmI8Az3BMRaFTCtiH9qX2oWzgGdMnF9XaA2Zaned2BFdF2GtbsIXNQE0hKW3PsuzUK9d53iCTpv9um+zbUBO7wuU7TuyLireCT01AqBvv3M8V+0/UOljEvTVqy7Hj6yeXeIwcPW98wSQbm3PjUYUAy/jLV7iJoCmbQXALUY1f+4Dek1rvb19FQe4nXnipnqt4FcYVp3KjKVDYRRrrlCFK+zzYvUZlysVTBfhIC6vEj7AfAmJmZp7y3fBnsdtv5uj6LH9NQHUZ6kOP8PzAiuxdErW6SO9jBbAHSCynahT45qqK1oSdSjtcyFC4q9L7iTxXf8wcuC8ZMC+3PWV2JLktWI7UihgCoFTCMu6MrSrCaAp7L3xbgVPMtLWjIXTW20t7OMAFzwDqdADRudj8UrHuAgfAynMu8ftfC5UQY8yFjD2jiVGaPvWn5KxkQf+lHWCUJrCX5oP76Ur4pVZLJoAGrt0d7xXS/yCuS9VF376KC+jBbFMvGRsb4SH5F3UfFgV8Wm0giEE/yKin5et4mOGvL/Ws4QwJDNQJ2/WFOKK5zmjCcEP0Yp4GqekvpEnS5gSuxrQIoO2tXHdgzG6HXfUBNCUpbvxbq0kwRbkerB07NL0EZ9vC64e+MzjKGwCEpfgEVJA+B/DGHVnbu+7ujC0LllS+3y5PX7kdZ1karQ+PHbCa2CI/Pv2yPkmgMYzub4Jrg6Tgi4dCzSdW/O2cLcSdOkaPFT76WKALimd7rwcnqc1gbHc/YCiN9V7awJoOoPB+dWVgvwEeZ+SNhZgz4nslN/3QUl/yQ7CaHpJ2Renr8LwFlRhZWSFKcLzprkO5+HkN5oAmszCxzbAIMpo96BOMvcxLdfUmvtKBYPSi0Bn85CtEFis0XgOPLDYPribhRY0WoEDTQDNw/RaHZLBTWzNWDpUWsUdGvbDiU0YVTTw2L6u+3u1Agfj85SkdNedj5Pm3wTQJPbd/nI3mdrY6hjHSqsIlBSoy97BbdpoPAfuUqLnaZP4fqj66/he2ptHOdAE0FEW9XoAH5UOAkgcW7W0llbZ586X7lWYAOG2i1ztNcD20E0cqDgaidHY1RqtxIEmgOZjfLUpuCZJpDWUDpVW6cYswX+A0Dcaz4EHFwyR5Pg1+dn41tqboznQBNBo1t3yorQGcuxKPQDWvzf25UB3h0qrCBZkKOX5kvhsdAa6+aZ7ti1J9SHZnWuYbH7nXA/+bBehDrwJoHmXUGoEGQOHAtsOlVZh75E64elKGELNlzzvyK9Pa1WbFO8EBdxoRQ40ATQv82uKBNnmoHX70lWlVWB+5LphpwB4nFo+uO94Lvm5mmxLDJhrb6MVOdAE0LzMl4RJTI10EbSavt6VWlplt7SuNAky0NGArFXz2ExbL04CxnwhGP5e80FPa7W9PZoDTQCNZt2VLwrsY5AeAkqspVUUg6tJwCF12X1k7JOzRuVKH42rWM3JO//oL7vF+5cYMobnPtVZL5sbG5hdE0DzL4KA1MeU0AxVPY7Vz6qpNY1E/ly5kdl5VJKQm0WeISEeor9FP0sODjxXjdyS4SuDDYmtL9Hikodz67tmsHU0upGXmvbDSSCb4pRo78bPmTjQBNBMjNxpRvkTgqNPtc1uaRXN+DB4u4RbwATVlBFqiMnYp+3dCpdsRT4sOXdFhPPCQWeDAzx8mSmeXaui52lAhLjk+o02wIEmgJZZBAhbWB0pIo5VAq2lVeCHeGWkKrhvATYaHU1G5j65p6V9lU9ll+RdAaqT6sBVTRY6mpiyw41uQBe42/FQ5PvUTIqNpzNxoAmgmRi5pxklTWgvvC7sOVeRyHZVA3wkYyPcVTdQlM5Ptz74crM7r5ZpPGpY8Uy2K+mG1q4JoGUXg0GZQIA92Ve3ampplTp6yF72Hv2IFWt0BweUI5ZmlEdxt8pq49PKHGgCaNkFkBlOUThuebW7dzUcVy1pRlUNkGh9LLl28aTBCjW6gwPy/LgKy9dEELWcPxvbHU0ALb8g7DMyJjqFd8ucqPDpWnCsxvahURJssELNtXwrl4A471XQ6WxkjTbGgSaATrMgKheot61SwANKl+w+4r+A4rjSx+b3qbmIuJZbXNMd6wk1flsR+ruF906z6q2XoxxoAugoi2Z7QC4fSOd7d2p482pJ4co9PJZk9ON2591pdIMDMFEEPuP8QxtTtsuBJoBOuzZsPlDS6oeJF2s0PweU2SGUGf9VYWi0YQ40AXT6xeEOdg1TGvfKipGnH9ZF9ChV7aOLRtnAhmewpE0AncEitSE2DlwqB5oAutSVbfNqHDgDDjQBdAaL1IbYOHCpHGgC6FJXts2rceAMONAE0BksUhti48ClcuD/AWGw64RpKKkoAAAAAElFTkSuQmCC" width="144" height="43" /></span><span> </span></div><div class = 'S0'><span>where </span><span texencoding="J_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="13.5" height="20" /></span><span> is the density [A/</span><span mathmlencoding="<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">mm</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math>" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="31.5" height="19" /></span><span>] of a current flowing in the </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">z</span><span> direction. In the following example we will analyze a C-shaped dipole magnet and then use the Poisson equation to find </span><span texencoding="A_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="16" height="20" /></span><span> from which we derive the magnetic field components </span><span texencoding="B_x" style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAoCAYAAACb3CikAAAC80lEQVRYR+3WbcjecxQH8M88RZEXhm15qiVqNabMhNTKG0ptwgsPhbWySSPa0toaozzUTETNMA/hjYfwZi+kTES2olEo5SHDJi00YvTVuevv73/f93VdubZb3afuruv+Xb//Od//Od/zPWeKCWJTJggOk0DalZjMyP8yI0fgPszF6a03+BV78CO+xpt4EF8N2oW9cuQzzKwgm3AN/sTxWInF+B1X4blBwPQKZCeOqgBnYFsr2Bacg19wGgK8L+sFyDR8U16/Q/5PNpq2Cmvq4Ho80hcKehK0yxvpfgZXdgS5BffW+UO4YRhANuLacnw1nuoI8jSuqPPVuH0YQL7EceV4RqNMI7FSqg9wNNJNs/HJfw3kVHxcThMsRGxaCPwSzsVvWIjX+gWR++OR9UasL8eP4o4i6wk4D4uKuC/jLmwfBEQvQF7FReV8Bw7F4TiozlKC8OetQQGMPDdWRg7GDxV4d+lIROtAnIJ0SoQt9gBuwt5BAY0F5Hy8UY5fwcUdQcKHC+t8Oe4ZBpA7cVs5XtbgSjNWQIyQM+qbzhnIxsrIuzizvKYlP+yIcBI+b5xPR7jUt40GJG0ZOT8Au+pN27KeYHOwtRH1GHzfN4ox2vcyPF8OoxMLRnEesj5WvwXAsR1zqCdco2VkQ2lEnNyMdR3ekq3XEVLHsrvc2lPUjktdQHKWBSdyHsti9F7Hs5m2mbqxj3AWfmrdS5vPx9IqYWbVYXiyBHFWlb5TWVOGFxoOV9T29XNxJftIBtvZdefFyl40ZzS7H0swtSbzO4g6Z4D+kYeaGTkRaxF+HNLymMtZevKZIZi/dFF41F6SusBcgM14ol7q/fal8WbNoCVvP5f9N/vt4w3u/ePOvgISYn+BaFMm9L9sXwHJHLoEJ1eL7xcgIXdWhm/xbA3MTO2A+nQE0bAyciSuq0DpwnzPJhdZuLs2uYdLvf/GMiwgedvsKNGfS6vjEi/777wi7NvN+gwLSN/dNglkfwnauKWaLM2ELc1fv7qFKW0YUwgAAAAASUVORK5CYII=" width="17" height="20" /></span><span> and </span><span texencoding="B_y" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="20" /></span><span>.</span></div><div class = 'S0'><span>The geometry of this C-shaped dipole magnet consisting of an iron </span><span style=' font-family: monospace;'>yoke</span><span>, current-carrying coils </span><span style=' font-family: monospace;'>C1</span><span> to </span><span style=' font-family: monospace;'>C4</span><span>, and some space around the magnet that we call </span><span style=' font-family: monospace;'>World</span><span>. Each part is defined by a column vector of the same length. The </span><span style=' font-family: monospace;'>yoke</span><span> is the longest vector and is defined as a polygon (first entry is 2), defined by 13 points (second entry), followed by the 13 x-positions and then the 13 y-positions of each of the defining points. The four coils are defined as rectangles by using 3 and 4 as first and second entry in their definitions, again, followed by the four x-positions and the four y-positions. Likewise the enclosing volume, the World, is defined as a rectangle. Note the zeros appended to the end of </span><span style=' font-family: monospace;'>Cn</span><span> and the </span><span style=' font-family: monospace;'>World</span><span>. They are required (by MATLAB internals) to make all column vectors that define the geometry have equal length. See the definition of gd below, which is an array of these column vectors and if defined this way the entries must have equal length.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >clear </span><span style="color: rgb(170, 4, 249);">all</span><span >; close </span><span style="color: rgb(170, 4, 249);">all</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >yoke=[2; 13; </span><span style="color: rgb(14, 0, 255);">...</span><span style="color: rgb(2, 128, 9);"> %..Yoke</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span > 0;0;0.3;0.3;1;1;-0.6;-0.6;1;1;0.3;0.3;0; </span><span style="color: rgb(14, 0, 255);">...</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span > 0;0.3;0.3;0.05;0.05;0.8;0.8;-0.8;-0.8;-0.05;-0.05;-0.3;-0.3];</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >C1=[3;4;0;0;0.3;0.3; 0.1;0.3;0.3;0.1;zeros(18,1)];</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >C2=[3;4;1;1;1.3;1.3; 0.1;0.3;0.3;0.1;zeros(18,1)];</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >dy=0.4;</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >C3=[3;4;0;0;0.3;0.3; 0.1-dy;0.3-dy;0.3-dy;0.1-dy;zeros(18,1)];</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >C4=[3;4;1;1;1.3;1.3; 0.1-dy;0.3-dy;0.3-dy;0.1-dy;zeros(18,1)];</span></span></div></div><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre"><span >World=[3;4;-1.8;1.8;1.8;-1.8;-1.2;-1.2;1.2;1.2;zeros(18,1)];</span></span></div></div></div><div class = 'S6'><span>Now we are ready to assemble the geometry into a single structure called</span><span style=' font-family: monospace;'> gd</span><span>, name the regions with</span><span style=' font-family: monospace;'> ns</span><span>, and define the relation among the different regions in </span><span style=' font-family: monospace;'>sf</span><span>. The call to the function </span><span style=' font-family: monospace;'>decsg() </span><span>the combines this information into a single entity</span><span style=' font-family: monospace;'> g </span><span> that describes the geometry.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >gd=[World,yoke,C1,C2,C3,C4]; </span><span style="color: rgb(2, 128, 9);">% assemble geometry</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >ns=char(</span><span style="color: rgb(170, 4, 249);">'World'</span><span >,</span><span style="color: rgb(170, 4, 249);">'yoke'</span><span >,</span><span style="color: rgb(170, 4, 249);">'C1'</span><span >,</span><span style="color: rgb(170, 4, 249);">'C2'</span><span >,</span><span style="color: rgb(170, 4, 249);">'C3'</span><span >,</span><span style="color: rgb(170, 4, 249);">'C4'</span><span >)'; </span><span style="color: rgb(2, 128, 9);">% names of the regions </span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >sf=</span><span style="color: rgb(170, 4, 249);">'World+yoke+C1+C2+C3+C4'</span><span >;</span></span></div></div><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre"><span >g=decsg(gd,sf,ns); </span></span></div></div></div><div class = 'S6'><span>The following code first creates a model with one dynamic variable, which is the z-component </span><span texencoding="A_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="16" height="20" /></span><span> of the vector potential. Internally MATLAB calls the single dynamic variable </span><span style=' font-family: monospace;'>u</span><span>. Then MATLAB internally generates the structure </span><span style=' font-family: monospace;'>model</span><span> from the provided geometry g, which we immediately plot. First we ask MATLAB to display the</span><span style=' font-family: monospace;'> EdgeLabels</span><span>, because we need them to specify boundary conditions</span><span style=' font-family: monospace;'>.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >model=createpde(1); </span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >geometryFromEdges(model,g);</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre"><span >pdegplot(model,</span><span style="color: rgb(170, 4, 249);">'EdgeLabels'</span><span >,</span><span style="color: rgb(170, 4, 249);">'on'</span><span >); </span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="F40DDCB5" data-scroll-top="null" data-scroll-left="null" data-testid="output_0" style="width: 1364px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><div class = 'S6'><span>Now we are ready to specify the boundary conditions with </span><span style=' font-family: monospace;'>applyBoundaryCondition(). </span><span>Note that the numbers in the array </span><span style=' font-family: monospace;'>[1,2,25,26] </span><span>correspond to the outer walls of the integration volume which is far away from the magnet and we require u = </span><span texencoding="A_z" style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAoCAYAAACfKfiZAAACUElEQVRYR+3XSaiNYRjA8d9lYVgZF2RDCsUGIaJMURTFFimJjOUuSIqwEhmLpMylbEUhGTIslJShFMmChVBkyNij996+vu65595zfd9NnWdzvul9nv/7jO9p0MnS0Mn21QHqHvhvPTANJzGoo1VUiwe64gFGojc+dASiFoBVOJiMTsLtMgH64BniN2Q5jpYJcABjMSEZ3Yf1ZQFEzC9jIp4no1cwsyyAMHYeh/EqVcBrDCwDYD62YTR+4iJmJ8ORD+9rhWhLFXTDYyzDtWRoFxrT9WTcKhJgE8ZgYcbIYpxI9ytwpCiAAXiIcXiRMRKhuJ/u92NdUQDRbiPhNucM9MAndMFVzCgCYDzuUPXQ8gbhqZqkUhLG87s4g3MVNJ9FDKWQvnhXC0ElgCXYguH4UUFxxH5NejcFN/8VQEy4p9iA060oXY1ozSErU4NqN0NLHohONx3D8KsVjbNwKb0/hABqt+QBYsjEeN2ZQtCawgjPk/RBJGvMiLzEN9HIsvItefjvsyxAL9zAKMzFhSrbiQSMEgyJPBmKl5k1PVNi5gHWZkLXDDAHkVRDkoJQFAAxar/nQKI8l6bOGNnfJLHmGLanB7GJ/qmKPmMw5mFvVl9bZkG745oWdMfXdN0vJeoO/C4LoMlOdM2YJ+GZvDerdrlad9+0Lg6w0U9242NLyooMQdjbiOOIdt2iFAkQO48+sgdfygZYhK0p8x9hKt6mXLiePcoX5YGo/Wg40U1jlI/AApxK980nqKIA8h6P/hKd8l76X9H8viyAitVUB6h74A+L1mMpIYbD6gAAAABJRU5ErkJggg==" width="16" height="20" /></span><span> to vanish. All internal boundaries are automatically taken care of by MATLAB and we need not specify them.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S9'><span style="white-space: pre"><span >applyBoundaryCondition(model,</span><span style="color: rgb(170, 4, 249);">'Edge'</span><span >,[1,2,25,26],</span><span style="color: rgb(170, 4, 249);">'u'</span><span >,0);</span></span></div></div></div><div class = 'S6'><span> In the next plot we ask MATLAB to display the </span><span style=' font-family: monospace;'>SubDomainLabels</span><span>, which we need to specify the material coefficients in the respective regions.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >figure; </span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre"><span >pdegplot(model,</span><span style="color: rgb(170, 4, 249);">'SubDomainLabels'</span><span >,</span><span style="color: rgb(170, 4, 249);">'on'</span><span >); </span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="8EC54A1C" data-scroll-top="null" data-scroll-left="null" data-testid="output_1" style="width: 1364px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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GTD1IiIiIhsmBoRERGRDVNzE3vFK17BPffcg4iIiGyWGhEREZENUyMiIiKyYWpERERENkyNiIiIyIapEREREdkwNSIiIiIbpkZERERkw9SIiIiIbJgaERERkQ1TIyIiIrJhakREREQ2TI2IiIjIhqkRERER2TA1IiIiIhumRkRERGTD1IiIiIhsmBoRERGRDVMjIn+m1heXLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxNLFcTy9XEcjWxXE0sVxPL1cRyNbFcTSxXE8vVxHI1sVxN/PJvPYLIM61GRP5M7R6csX7kEpGb1e47fxWRZ1qNiPyZ61/V0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLhn7R0C8a+kVDv2joFw39oqFfNPSLBpE/CzUiIiIiG6ZGREREZMPUiIiIiGyYGhEREZENUyMiIiKyYWpERERENkyNiIiIyIapEREREdkwNSIiIiIbpkZERERkw9SIiIiIbJgaERERkQ1TIyIiIrJhakREREQ2TI2IiIjIhqkRERER2TA1IiIiIhumRkRERGTD1IiIiIhsmBoRERGRDVMjIiIismFqRERERDZMjYiIiMiGqRERERHZMDUiIiIiG6ZGREREZMPUiIjIje34GI6O4OgIjo7g6AiOjuDBB3naQw/BL/wCnJwgcjOoERGRG9ttt8Hb3gaHh3B4CIeHcHgI6zVPee974Wu/Fn72Z+Ff/At4xSvgyScRucpqRETkxtf3cHwMx8dwfAzHx3DrrfDZz8Kb3gT//t/DT/80fOhD8PDD8HM/h8hVVnOF/M7v/A7ve9/7OD8/5wu5uLjg/vvv5/777+f+++/n/vvv57HHHkNEZOO8973w4hfDK17B0z72Mfj7fx+Rq6zmivjFX/xF3vCGN7Bardjb26OUwp/mP/7H/8gb3/hGbr/9dm6//XZuv/12PvrRjyIicsO69144OoKjIzg6gvvu4ykPPwx/+S/D93wPXLsGz3sevP3tiFx1NVfAE088Qd/3vPvd7+bHf/zHec973sNdd93Fer3mT/Ibv/Eb7O/vc3Z2xtnZGWdnZ3zjN34jIiI3rLvvhsNDODyEw0MYR57yG78BP/dz8PKXw+//PnzgA/CjPwp3343IVVZzBfzKr/wKz3/+83npS1/K59xyyy188zd/Mx/4wAf4k3z84x/nJS95CRcXF/zv//2/ERG54fU9HB/D8TEcH8Nb3sJTXvpSeOlL4fbbecrXfR28/vXwsz+LyFVWcwU8+uijfPVXfzWf77nPfS6f+MQn+OOeeOIJfvu3f5sf+ZEf4XWvex1//a//dX7gB34AEZGN9IIX8H+oa6hrRK6ymivgiSeeoK5rPl9d1zz55JP8cZ/5zGf41m/9Vt71rndxenrKyckJ99xzDz/zMz/DF7K1tcXW1hZbW1vceeediIjcEF73OnjoITg+5ikPPQS/9Etw223IzenOO+9ka2uLra0ttra2uKpqroBnP/vZPPHEE3y+J598kmc961n8cS960Yv4iZ/4CV70ohfxOS984Qv5tm/7Nj7ykY/whZyfn3N+fs75+TnXr19HROSG8CVfAv/hP8D3fi/87b8Nf+WvwO23w+4ucnO6fv065+fnnJ+fc35+zlVVcwW84AUv4GMf+xif75FHHuHlL385f9ynPvUp3vOe9/D5Hn/8cf7cn/tziIjckB57DF7zGv5U3/RN8KlPwX/5L/A//gf84A8ictXVXAHOOT7n/e9/P5/zwAMPcHp6yq233srn/Pqv/zoPPvggn3N5eUnf93zyk5/kcz7zmc/wX//rf+U7vuM7EBHZaNeuwbOehcjNoOYKqOuat7/97bz1rW/ljW98I9/93d/Nj/3Yj/EVX/EVfM473vEOPvjBD/I5W1tb7O/v473njW98I9/+7d/OP/yH/5Bv/MZvRERERDZDzRXxDd/wDXzwgx/k4OCAD3/4w7z61a/mD911111813d9F3/otttu4/777+fg4ID777+fN73pTYiIiMjmqLlirl27Rl3X/N/Udc21a9eo6xoRERHZLDUiIiIiG6ZGREREZMPUiIiIiGyYGhEREZENUyMiIiKyYWpERERENkyNiIiIyIapEREREdkwNSIiIiIbpkZERERkw9SIiIiIbJgaERERkQ1TIyIiIrJhakREREQ2TI2IiIjIhqkRERER2TA1IiJfZOuLS9YXl6wvLllfXLK+uGR9ccn64pL1xSXri0vWF5esLy5ZX1yyvrhkfXHJ+uKS9cUl64tL1heXrC8uWV9csr64ZH1xyfrikvXFJeuLS9YXl6wvLllfXLK+uGR9ccn64pL1xSXri0vWF5esLy5ZX1wiz7z1xSXri0vWF5esLy5ZX1yyvrhkfXHJ+uKS9cUl64tL1heXrC8uWV9csr64ZH1xyfrikvXFJeuLS9YXl6wvLllfXLK+uGR9ccn64pL1xSXri0vWF5esLy5ZX1yyvrhkfXHJ+uKS9cUl64tL1heXyNVQIyLyRfRT9z3I7sEZuwdn7B6csXtwxu7BGbsHZ+wenLF7cMbuwRm7B2fsHpyxe3DG7sEZuwdn7B6csXtwxu7BGbsHZ+wenLF7cMbuwRm7B2fsHpyxe3DG7sEZuwdn7B6csXtwxu7BGbsHZ+wenLF7cMbuwRm7B2fsHpzR5FN+6r4HkWfW7sEZuwdn7B6csXtwxu7BGbsHZ+wenLF7cMbuwRm7B2fsHpyxe3DG7sEZuwdn7B6csXtwxu7BGbsHZ+wenLF7cMbuwRm7B2fsHpyxe3DG7sEZuwdn7B6csXtwxu7BGbsHZ+wenLF7cMbuwRm7B2fsHpxRdSPri0tks9WIiHwRferikvD1lml/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h2l/h7ve8DLe/1uPIs+saX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+HaX+Hb3nJ81k/8gfIZqsRERER2TA1IiIim+T4GI6O4OgIjo7g6AiOjuDBB3naRz8KR0fwiU8gV1ONiIjIJrntNnjb2+DwEA4P4fAQDg9hveYp+/vwXd8FP//z8O3fDm97G3L11IiIiGyavofjYzg+huNjOD6GW2+Fj30MhgHuvRfuugs+8AH4wR+Ehx5CrpYaERGRq+JrvgbOzuDLv5ynfMmXwBNPwOOPI1dLjYiIyKa59144OoKjIzg6gvvu4yl1DV/zNfDZz8K73gWvfCX80A/BV34lcrXUiIjcKI6P4egIjo7g6AiOjuDoCB58kKd9/ONwdAQf/CByE7v7bjg8hMNDODyEceSPeOghuLyEF70I7r4bHn4YuVpqRERuFLfdBm97GxwewuEhHB7C4SGs1zzl+74PXvta+Lmfg+/9Xvimb4LLS+Qm1PdwfAzHx3B8DG95C3+EtfB93wfvfS9cuwbveAdytdSIiNxI+h6Oj+H4GI6P4fgYbr0Vfu3X4F3vgvvvh3/zb+DXfg3+5/+En/5pRJ72m78JP/mT/BF/8S/Cpz+NXC01IiKb4Mu/HI6P4cu/nKf91b8Kv/3biDzts5+FN78ZfvM3ecpnPgN33w2vfz1ytdSIiNxI7r0Xjo7g6AiOjuC++3jKX/pL8K3fytM++Uk4PobXvx6Rp33t18JP/AR8/dfDq18NL3kJfN/3wd/5O8jVUiMiciO5+244PITDQzg8hHHk//C7vwuvfCX84A/C3/gbyE3mscfgNa/hT/WP/zE89hi8+93w6KPw/d+PXD01IiI3kr6H42M4PobjY3jLW/gj7rsPtrfhn/5T2N9H5E9U1/DCF8KznoVcTTUiIpvife+DxQIODuDNb0ZEbl41IiKb4L//d/h7fw/+9b+G170OHn8cHn8cPvtZROTmUyMisgne+U74vd+D7/gOePaz4dnPhmc/G/7ZP0NEbj41IiI3isceg9e8hj/R298O8wzzDPMM8wzzDD/5k4jIzadGREREZMPUiIiIiGyYGhEREZENUyMiIiKyYWpERERENkyNiMgX2Q/fPVF1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTfypn/335BnXtWNVN1I1Y1U3UjVjVTdSNWNVN1I1Y1U3UjVjVTdSNWNVN1I1Y1U3UjVjVTdSNWNVN1I1Y1U3UjVjVTdSNWNVN1I1Y1U3UjVjVTdSNWNVN1I1Y1U3UjVjawfueTFX/alyGarERH5IvvhVzXMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy03PWGlyHPvHlomYeWeWiZh5Z5aJmHlnlomYeWeWiZh5Z5aJmHlnlomYeWeWiZh5Z5aJmHlnlomYeWeWiZh5Z5aJmHlnlomYeWeWiZh5Z5aJmHlnlomYeWeWiZh5Z5aJn2d3jxLc9BNluNiIiIyIapEREREdkwNSIiIiIbpkZERERkw9SIiMjTXnzLc/jl33qEqhupuhwMqr4AACAASURBVJGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaob+ZaXPB+RZ1rNTep3fud3eN/73sf5+TkiIn/oW17yZUz7O8xDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8vJP9lG5JlWcxP6xV/8Rd7whjewWq3Y29ujlIKIiIhsjpqbzBNPPEHf97z73e/mx3/8x3nPe97DXXfdxXq9RkRERDZDzU3mV37lV3j+85/PS1/6Uj7nlltu4Zu/+Zv5wAc+gIiIiGyGmpvMo48+yld/9Vfz+Z773OfyiU98AhEREdkMNTeZJ554grqu+Xx1XfPkk0/yhWxtbbG1tcXW1hZ33nknIiIiN6I777yTra0ttra22Nra4qqquck8+9nP5oknnuDzPfnkkzzrWc/iCzk/P+f8/Jzz83OuX7+OiIjIjej69eucn59zfn7O+fk5V1XNTeYFL3gBH/vYx/h8jzzyCC9/+csRERGRzVBzk3HO8Tnvf//7+ZwHHniA09NTbr31VkRERGQz1Nxk6rrm7W9/O29961t54xvfyHd/93fzYz/2Y3zFV3wFIiIishlqbkLf8A3fwAc/+EEODg748Ic/zKtf/WpERERkc9TcxK5du0Zd14iI/KH1xSVVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSNVN1J1I1U3UnUjVTdSdSO77zxD5JlWIyIiT/vl33qE4Czz0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89AyDy3z0DIPLfPQMg8t89Dyy7/1KCLPtBoRERGRDVMjIiIismFqRERERDZMjYiIiMiGqRER+SL74bsnqm6k6kaqbqTqRqpupOpGqm6k6kaqbqTqRqpupOpGqm6k6kaqbqTqRqpupOpGqm6k6kaqbqTqRqpupOpGqm6k6kaqbqTqRqpupOpGqm6k6kaqbqTqRt707/4b8syrupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRqhupupGqG6m6kaobqbqRJp+yvrhENluNiMgX2Q+/qmEeWuahZR5a5qFlHlrmoWUeWuahZR5a5qFlHlrmoWUeWuahZR5a5qFlHlrmoWUeWuahZR5a5qFlHlrmoWUeWuahZR5a5qFlHlrmoWUeWuahZR5a5qHlrje8DHnmzUPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDyzy0zEPLPLTMQ8s8tMxDy4u/7DmsH/kDZLPViIiIiGyYGhEREZENUyMiIiKyYWpERERENkyNiIiIyIapERG5URwfw9ERHB3B0REcHcHRETz4IP+HD30IHnwQuQkdH8PRERwdwdERHB3B0RE8+CBPeeghuOceuOceuOceuOceeOQR5GqpERG5Udx2G7ztbXB4CIeHcHgIh4ewXvNHfPzj8IpXwIc+hNyEbrsN3vY2ODyEw0M4PITDQ1ivecq73w2vfCW89rXw2tfCa18L992HXC01IiI3kr6H42M4PobjYzg+hltv5WmPPw633QYvfCFyE+t7OD6G42M4PobjY7j1Vp7ykY/AO94Bjz0Gjz0Gjz0Gr3oVcrXUiIhskre+Ff7u34W/9tcQ+RP96q/Cy14GDz0Ejz+OXE01IiI3knvvhaMjODqCoyO47z6e9v73wy//MiyXyE3u3nvh6AiOjuDoCO67j6d89rPwyU/C9evwtV8L167BP/pHyNVTIyJyI7n7bjg8hMNDODyEceQpjzwC3/M98G//LSLcfTccHsLhIRwewjjylN/9XfjO74T/9J/gM5+BT30KfumX4F/+S+RqqRERuZH0PRwfw/ExHB/DW97CU/75P4e/+Tfhk5+E974XHnoIPvIR+OhHkZtQ38PxMRwfw/ExvOUtPOWrvgre8x74qq/iKV/5lfD618M99yBXS42IyCb4C38Bfu/34J3vhHe+E9Zr+M//Gd73PkSe9slPwr/6V/wR/+t/wbOehVwtNSIim+BHfgSOj+H4GI6PwTn4gR+AN78Zkaf9/u/D3h58/OM85Xd/F37hF+Af/APkaqkRERG5Kr7u6+Ad74C/9bfgla+El70MUoJXvQq5WmpERG4Ujz0Gr3kN/0+Oj+E7vxO5CT32GLzmNfyp/sk/gUcfhZ//eXj0UXjzm5Grp0ZEROSqqWt47nOhrpGrqUZERERkw9SIiIiIbJgaERERkQ1TIyIiIrJhakREREQ2TI2IyBfRK176fH7q/gdp8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPuVN/+6/8YqXPB95ZjX5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRTmnxKk09p8ilNPqXJpzT5lCaf0uRT1o9cIpuvRkTki+hbXvJlnOxtc7K3zcneNid725zsbXOyt83J3jYne9uc7G1zsrfNyd42J3vbnOxtc7K3zcneNid725zsbXOyt83J3jYne9uc7G1zsrfNyd42J3vbnOxtc7K3zcneNid725zsbXOyt83J3jYne9uc7G1zsrfNyd420/4OwVnkmXWyt83J3jYne9uc7G1zsrfNyd42J3vbnOxtc7K3zcneNid725zsbXOyt83J3jYne9uc7G1zsrfNyd42J3vbnOxtc7K3zcneNid725zsbXOyt83J3jYne9uc7G1zsrfNyd42J3vbnOxtc7K3zcneNid725zsbfMtL/kyZLPViIh8kb34lufw4luew4tveQ4vvuU5vPiW/689+AvRq1r4PP9lKfiY9sJ+jq1MOBe11TPlXMlEVBKi9oWy9UXvRDQ3NdJSYIOsi0Eas2w3G8XGXjpEUxiQ9MrySlgEFPSid4+2aJk0uB4LFBVKhe0fmkUuOmbl4iBKhaEGbDJnztH3ffVAduX3+cxYms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms9Yms+Q39/SfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfMbSfIZMn0FERERkYgwiIiIiE2MQERERmRiDiIiIyMQYRERERCbGICIiIjIxBhEREZGJMYiIiIhMjEFERERkYgwiIiIiE2MQERERmRiDiIiIyMQYRERERCbGICIiIjIxBhEREZGJMYiIiIhMjEFERERkYgw7yHfffcfbb7/N5uYmv+b06dMsFgsWiwWLxYLFYsHZs2cRERGRC59hh3jzzTd58MEHGYaBRx99lBdffJFf8vrrr7OyssLq6iqrq6usrq7yySefICIiIhc+ww6wtbVF13W8+uqreO85fvw4x44d4+uvv+Zv+eyzz3DOsbGxwcbGBhsbG+zfvx8RERG58Bl2gPfff58rr7yS66+/nm3z+Zzbb7+dDz74gL/l888/57rrruP06dP89NNPiIiIyHQYdoAzZ85www03cL4rrriCL774gr9ma2uLb7/9lqeffpp7772XG2+8kSeffJJfsry8zPLyMsvLyxw+fBgREZEL0eHDh1leXmZ5eZnl5WV2KsMOsLW1hTGG8xljOHfuHH/NqVOnuPPOO3nllVc4efIk7777Luvr67z22mv8LZubm2xubrK5ucljjz2GiIjIheixxx5jc3OTzc1NNjc32akME/TMM8+wZ88e9uzZw2233cZll13G1tYW5zt37hyXXnopf83u3bt56aWX2L17N9uuueYa7rrrLj766CNERETkwmeYoAMHDrC2tsba2hovvPACV199NZ9++inn+/7777npppv4a7755huOHz/O+X788UcuueQSRERE5MJnmKBrr72Wffv2sW/fPm655RZuvvlmtr333nts+/LLLzl58iR79+7lZx9//DGlFLb98MMPdF3HV199xbZTp07xzjvvcN999yEiIiIXPsMOYIzh+eef5+DBg6ysrPDQQw/x3HPPcdVVV/GzQ4cOceLECbYtLy/jnOOBBx5gZWWFe+65h0ceeYT9+/cjIiIiFz7DDnHrrbdy4sQJjhw5wocffsjdd9/N+Y4dO8b999/Pzw4cOMBiseDIkSMsFgsefvhhREREZBoMO8yuXbswxvCPYYxh165dGGMQERGR6TCIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGI/HO99Ra88Qa88Qa88Qa88Qa88QaUwv/Pf/7PiIiI/F4MIv9cBw7Af/gPcPQoHD0KR4/C0aPw9df8fzz9NPybf4OIiMjvxSDyW3QdvPUWvPUWvPUWvPUW7N3L/+t//A94+GHwHhERkd+TQeTv5d//e/hX/wr+039CRETk92QQ+S3+23+DN96AN96AN96AnPmf1tbgP/5H+Bf/AhERkd+TQeS3+C//BY4ehaNH4ehR+K//lf/JGERERP4eDCK/RdfBW2/BW2/BW2/Bv/t3iIiI/L0ZRERERCbGICIiIjIxBhEREZGJMYj8c509C//wD/yqf/gH+O//HRERkd+LQURERGRiDCLyd/dqLvTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w0g/jPTDSD+M9MNIP4z0w4jI34NBRP6ujj34vyFyMXv33/7viPzeDCLyd/Wvr/uXdG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2dG1D1zZ0bUPXNnRtQ9c2/Ovr/iUivzeDiIiIyMQYRERERCbGICIiIjIxBhEREZGJMYiIiIhMjEFERERkYgwiIiIiE2MQERERmRiDiIiIyMQYRERERCbGICIiIjIxBhEREZGJMYiIiIhMjEFERERkYgwiIiIiE2MQERERmRiDiIiIyMQYLnLr6+uIiIjItBguYi+//DIHDx5EREREpsVwETpz5gxPPPEER48eRURERKbHcBE6dOgQ8/mcZ599FhEREZkew0Xoqaee4vHHH+fyyy9HREREpsdwETLG8E+1vLzM8vIyy8vLHD58GBERkQvR4cOHWV5eZnl5meXlZXYqww73zDPPsGfPHvbs2cNtt93GP9fm5iabm5tsbm7y2GOPISIiciF67LHH2NzcZHNzk83NTXYqww534MAB1tbWWFtb44UXXkBERESmz7DDXXvttezbt499+/Zxyy23ICIiItNnEBEREZkYw0XsjjvuYH19HREREZkWg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBJufw4cNcTA4fPszF5PDhw1xsDh8+zMXk8OHDXEwOHz7MxeTw4cPI359BJmdtbY2LydraGheTtbU1LjZra2tcTNbW1riYrK2tcTFZW1tD/v4MIiIiIhNjEBEREZkYg/yqP//hfyXmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYC2f/uJeYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLpz9415iLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuXD2j3uJuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhbN/3EvMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF87+cS8xF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXDj7x73EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQc+HsH/cScyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWYCzEXYi7EXIi5EHMh5kLMhZgLMRdiLsRciLkQcyHmQsyFmAsxF2IuxFyIuRBzIeZCzIWfLv8DO5FBftHKzf8LS/MZ1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB/48x/+hPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YH/vyHP2F9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1gT//4U9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6wJ//8CesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPvDnP/wJ6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA/8+Q9/wvqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesDf/7Dn7A+YH3A+oD1AesD1gesD1gfsD5gfcD6gPUB6wPWB6wPWB+wPmB9wPqA9QHrA9YHrA9YH7A+YH3A+oD1AesD1gesD1gfsD5gfcD6wC233krXNuw0BvlFS/MZn/9f/wc1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGTkwbcWwAADJJJREFUoyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhw1OWpy1OSoyVGToyZHTY6aHDU5anLU5KjJUZOjJkdNjpocNTlqctTkqMlRk6MmR02Omhz/9/95JzuRQURERGRiDCIiIiITYxARERGZGIOIiIjIxBhEREREJsYgIiIiMjEGERERkYkxyCSsr6/zS06fPs1isWCxWLBYLFgsFpw9e5adZH19nZ3ou+++4+2332Zzc5Nfcvr0aRaLBYvFgsViwWKx4OzZs0zZd999x9tvv83m5iY7zXfffcfbb7/N5uYmv+T06dMsFgsWiwWLxYLFYsHZs2fZadbX19mp1tfX+SWnT59msViwWCxYLBYsFgvOnj2L/DYGueC9/PLLHDx4kF/y+uuvs7KywurqKqurq6yurvLJJ5+wU7z88sscPHiQnebNN9/kwQcfZBgGHn30UV588UX+ltdff52VlRVWV1dZXV1ldXWVTz75hKl68803efDBBxmGgUcffZQXX3yRneLNN9/kwQcfZBgGHn30UV588UX+ltdff52VlRVWV1dZXV1ldXWVTz75hJ3k5Zdf5uDBg+xEL7/8MgcPHuSXvP7666ysrLC6usrq6iqrq6t88sknyG9jkAvWmTNneOKJJzh69Ci/5rPPPsM5x8bGBhsbG2xsbLB//36m7syZMzzxxBMcPXqUnWZra4uu63j11Vfx3nP8+HGOHTvG119/zV/z2Wef4ZxjY2ODjY0NNjY22L9/P1O0tbVF13W8+uqreO85fvw4x44d4+uvv2bqtra26LqOV199Fe89x48f59ixY3z99df8NZ999hnOOTY2NtjY2GBjY4P9+/ezE5w5c4YnnniCo0ePstOcOXOGJ554gqNHj/JrPvvsM5xzbGxssLGxwcbGBvv370d+G4NcsA4dOsR8PufZZ5/l13z++edcd911nD59mp9++omd4tChQ8znc5599ll2mvfff58rr7yS66+/nm3z+Zzbb7+dDz74gL/m888/57rrruP06dP89NNPTNn777/PlVdeyfXXX8+2+XzO7bffzgcffMDUvf/++1x55ZVcf/31bJvP59x+++188MEH/DWff/451113HadPn+ann35iJzl06BDz+Zxnn32WnebQoUPM53OeffZZfs3nn3/Oddddx+nTp/npp5+Q34dBLlhPPfUUjz/+OJdffjm/ZGtri2+//Zann36ae++9lxtvvJEnn3ySneCpp57i8ccf5/LLL2enOXPmDDfccAPnu+KKK/jiiy/4S1tbW3z77bc8/fTT3Hvvvdx44408+eSTTNWZM2e44YYbON8VV1zBF198wdSdOXOGG264gfNdccUVfPHFF/ylra0tvv32W55++mnuvfdebrzxRp588kl2iqeeeorHH3+cyy+/nJ3mqaee4vHHH+fyyy/nl2xtbfHtt9/y9NNPc++993LjjTfy5JNPIr+dQS5Yxhj+MU6dOsWdd97JK6+8wsmTJ3n33XdZX1/ntddeY+qMMexUW1tbGGM4nzGGc+fO8ZdOnTrFnXfeySuvvMLJkyd59913WV9f57XXXmOKtra2MMZwPmMM586dY+q2trYwxnA+Ywznzp3jL506dYo777yTV155hZMnT/Luu++yvr7Oa6+9xk5gjGGnMsbwj3Hq1CnuvPNOXnnlFU6ePMm7777L+vo6r732GvLbGOSC8Mwzz7Bnzx727NnDbbfdxj/F7t27eemll9i9ezfbrrnmGu666y4++ugjpuSZZ55hz5497Nmzh9tuu42d5plnnmHPnj3s2bOH2267jcsuu4ytrS3Od+7cOS699FL+0u7du3nppZfYvXs326655hruuusuPvroI6bosssuY2tri/OdO3eOSy+9lKm77LLL2Nra4nznzp3j0ksv5S/t3r2bl156id27d7Ptmmuu4a677uKjjz5Cdobdu3fz0ksvsXv3brZdc8013HXXXXz00UfIb2OQC8KBAwdYW1tjbW2NF154gX+Kb775huPHj3O+H3/8kUsuuYQpOXDgAGtra6ytrfHCCy+w0xw4cIC1tTXW1tZ44YUXuPrqq/n000853/fff89NN93EX/rmm284fvw45/vxxx+55JJLmKKrr76aTz/9lPN9//333HTTTUzd1Vdfzaeffsr5vv/+e2666Sb+0jfffMPx48c5348//sgll1yC7AzffPMNx48f53w//vgjl1xyCfLbGOSCcO2117Jv3z727dvHLbfcwq/5+OOPKaWw7YcffqDrOr766iu2nTp1infeeYf77ruPKbn22mvZt28f+/bt45ZbbmGnufbaa9m3bx/79u3jlltu4eabb2bbe++9x7Yvv/ySkydPsnfvXrZ9/PHHlFLY9sMPP9B1HV999RXbTp06xTvvvMN9993HFN18881se++999j25ZdfcvLkSfbu3cvU3XzzzWx777332Pbll19y8uRJ9u7dy7aPP/6YUgrbfvjhB7qu46uvvmLbqVOneOedd7jvvvuQ6fr4448ppbDthx9+oOs6vvrqK7adOnWKd955h/vuuw/5bQwySYcOHeLEiRNsW15exjnHAw88wMrKCvfccw+PPPII+/fvRy5cxhief/55Dh48yMrKCg899BDPPfccV111FdsOHTrEiRMn2La8vIxzjgceeICVlRXuueceHnnkEfbv388UGWN4/vnnOXjwICsrKzz00EM899xzXHXVVUydMYbnn3+egwcPsrKywkMPPcRzzz3HVVddxbZDhw5x4sQJti0vL+Oc44EHHmBlZYV77rmHRx55hP379yPTdejQIU6cOMG25eVlnHM88MADrKyscM899/DII4+wf/9+5LcxyAXvjjvuYH19nfMdO3aM+++/n58dOHCAxWLBkSNHWCwWPPzww+wkd9xxB+vr6+w0t956KydOnODIkSN8+OGH3H333fzs2LFj3H///fzswIEDLBYLjhw5wmKx4OGHH2bKbr31Vk6cOMGRI0f48MMPufvuu9kpbr31Vk6cOMGRI0f48MMPufvuu/nZsWPHuP/++/nZgQMHWCwWHDlyhMViwcMPP8xOc8cdd7C+vs5OdMcdd7C+vs75jh07xv3338/PDhw4wGKx4MiRIywWCx5++GHktzPIjmGMYdeuXRhjkGnZtWsXxhh+jTGGXbt2YYxhp9i1axfGGHaiXbt2YYzh1xhj2LVrF8YYZGcyxrBr1y6MMcjvwyAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGIMIiIiIhNjEBEREZkYg4iIiMjEGEREREQmxiAiIiIyMQYRERGRiTGIiIiITIxBREREZGL+H8Zuig7bTQJuAAAAAElFTkSuQmCC" style="width: 560px;"></div></div></div></div></div><div class = 'S6'><span>Once we know the names, we can use them to define the material in the respective regions. Here '1' referes to the region, labeled 'F1' in the plot. The material coefficients </span><span style=' font-family: monospace;'>m, d, c, a,</span><span> and f refer to MATLAB's way of specifying the coefficients of a partial differential equation, outlined in the following equation</span></div><div class = 'S2'><span> </span><span texencoding=" m\frac{\partial^2u}{\partial t^2}+d\frac{\partial u}{\partial t}-\vec\nabla\cdot\left(c \vec\nabla u\right) + a u = f
" style="vertical-align:-16px"><img src="data:image/png;base64,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" width="227" height="42" /></span></div><div class = 'S0'><span>This equation has the form of the Poisson equation, shown above, provided we set </span><span texencoding="m=d=a=0" style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALoAAAAkCAYAAAA+YiDCAAAHhUlEQVR4Xu2bZawkRRSFv8UhuEPQ4BLcLcHd3d0JHiw4wV2De3AJ7u7uEtyDB3fLt7m16W1m3vTbmZ305NVN9sdOV1dX3Tp177mn6g0iW/bAAPDAoAEwxzzF7AEy0DMIBoQHMtAHxDLnSWagZwwMCA9koA+IZc6TzEBvjYGxgVWAmYAZ49+FwJmtX80t6uKBDPTWKzEOsAKwBrBBNF8CeKT1q7nFcPDAcsDOwBQwWEwZGbgOOAX4vtn3MtCrr8TWwPnAL8B4wB/VX80tO+CBEYDTAuTHA/sDfwNzArcBvwIrAW83+lYGevUVOAvYEbgbWL76a7llhzxwKHAI8CywUIA8db048DDwFrBAo8iegV59FV4A5opIckz113LLDnjA2uh1YERgWeDeBn0+FSA/Dti3/DwDvdoqTAx8HpxwPuC5aq/lVh3ywHnANsDvwLjAbw36PRrYLyjMpMAPxTYZ6NVWYmPgcuAbQND/U+213KoDHjCKG2QmBB4ElmzSp3Tyzni2GXBZVaCPCcwR6fom4NN40Q8qt00OKLM5iGSjAesD00Yl/GoHJtrtLsYHBLY05S/ASHEYoPOuAjbs9oA69L2ZgbWA6YD3gNOj1lgUuAZ4vEPf6XQ3swEJRxajuzX5wCQFLF4MbNkK6FsAOwDzA1a6qgwuvmlDme1SYKLopLjDpo5CTT6lfQVMGe91evLDoz8jh5W8/O5UQGfpvI2ANYHJwnn+3kumQmQh7Xo6t3viLGAfYEFgKmAW4M2aTqoYqQ04FqWNbNQCpXkRmLsV0NPz56PxHSHbqCPvDuwEbA7oKCODEWLWkN4Ojk1wRXQyDfBhRQcqGe1SsW1fzfzmF/3sZyzgZsDoZrZSWUl2EeDm19RuU2ar+gmLJDNjO6aaoIzWX/OQy7l8BywTwSf1YRRfF/gyNnTVvrs9nyTrOr49Qi9vNlaD8ujA14VgPLhtXxz9o4jIgtu0JojXDv1Ycd4UIjgEgVWwG+HjSPGXAD+H3vxnRQ+eHBupYvOmzSxE+gN0HXN/SFa7Rkovdi43l8q8Bsw+DINLas0wvDrkFaOtUbc/5oZ/DBgDmAd4v/SymXnToJgCvqp1ez4HAYfH4KQjfWXUzyLzSjk9SBpizYAuVbHw0tQlBbZAlo5oKdq7CUwRZwNPxrOkNyviGx3rbhcAW8VmVboq233AUuEDI0ovmIv8aKyddKyRHKrurP7caHPXaY6O/6gYkEzCDdrMZA9SMVUZA1hLoFu0XB+0Q8BawSYgeyT+bfD3A4FPACN4MvVOo4+bQK5bZ1sRuB34F5gXMFoVzRrFuTpnN62+6AVTZrOINlgpDPxYGrSigXRGXislernGkzKKK3porTalkqI09F1g+ipAT1HZdHcOcGzhJY9ZXXABIPhXLjwrVr7y9jdq7ECzmUWL/LlZ9kknbqZCs1wZMHWcnpvSdbMIbRbNzc43BtgnqLlcmoKRvpY+H9HE6SMBiSZ7D8n7SEOsGXWx+JkhuK4RwXsEyQS9hahWvty0HnB1FGwWbnW2hQuSmsrKlQ0Gey2wTtAAQd8Ltl0EJ7V+A4+FWdlUXixObwFWq/mkivKiddyeTcar7J2otWvpmvYJdDlOUkr2Ak4qdfxEFG63AquWnqVM8D8ds4Izu626+L29Y1xGwaFO0qIQNzIqOyppKW0Ni3VbpVAlUwZ2nRZpMGCD00Pxu/M/sZ+T6vZ8DMaKC0raHggZ4RtZyr4+Ux6XifQJ9CTnmAY8BZTLJbOC9/8WOyowN5S+mPh5swjZl0+7rboYzeTdHnipkZctbVp/XywUjH5iYnDzbqsUSS3zpuW2pQHLzc240k9TvULDM/2cVLfn4/AUO7ZvoeSlS1/STM90VGD6BHrSV++KyFBsv3SoE24CU0UxCropkqxnylSfVaXwNMvrlHWzlJkayYZGDceuCvNT8HPnrJRa9wMjaaaANlKnjKXvjYyOXdqiuOC85PFmLOusctCq03pZ770SAkizoCMv95mqjOrMUFbm6E5anqMD3EHnltofCRwQurOgL5rR0Sgpv/egwgrZ09ShUkiNvOdxvtcVBIYnuElOFdzyXCVUZa2ULr0i6m/Osc6W6qsHQhZ1rK6rt/q8q+0fJ3ig50GS/FxlzLqrrLPXbY6pNrRushYsmqe+Uiqxq4pUvJYyuF0Z6KlAs5DxLkv54CXp5424nVKjFfEHETWM6P5WVzOKWWdoL4Wc6v0WM5PPdKxcT+cpv3nfx/shdTeViVRPGKUFt5xdKnNGyI7Kj55qvwNYh/XCnSTpsnPwzpFXGU4ItcgrJwYjabUb9+lGC1QGeuI5nqiZBormiaO8x3ca3Y3wT5w8RRTgRv5GKkbdQOLVTzetBbinuh73G+GM8mYo9Vs5r6dzFnm9YKNEJtokUr2RznVNV4tXj3mqNbuRe+3KsdKof0on65BOCnDPQly3/0XytGD5mm4vQDePsW0PZKC37cLcQS94IAO9F1Ypj7FtD2Sgt+3C3EEveCADvRdWKY+xbQ9koLftwtxBL3ggA70XVimPsW0PZKC37cLcQS94IAO9F1Ypj7FtD/wHCdB+NET1F1kAAAAASUVORK5CYII=" width="93" height="18" /></span><span> and identify </span><span texencoding="c=1/\mu_r" style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG8AAAAoCAYAAADwmKS0AAAFYElEQVR4Xu2aZagtZRSGn2sjoljYfe0uFPSHIGJggNiJqFigoIiFioGNgaJigO21RcXAxgDFFjvBLkxUxOK5rI37DDN7vpnZ47n77llw/py91ppv1vutnil0NLIWmDKyJ+8OTgfeCF+CDrwOvBG2QPOj7wHsBOzYXFU1DZ3nVbNXHvfTwGPASc1VVdPQgVfNXlnu5YH3gVWAd5upqi49juBpaL3kBeD86iabIKGebYCNG+qpJT5O4K0MnAjsDswCHAucXctq/wm9A1wMXNJQTy3xcQBvXuBoYAFgLWDTsFRT8DYCngIWB76tZf2GQuMA3mzAX8A/wIbA80MCT29bGti+IQa1xccBvH7jLAN8PATwZgc+Bw4Dbq1t/YaCHXj1DLgdcD2wKPB7PRXNpVLBmyMqKnOG1dqXwI3AR82P8L9qGJbn6W0/AQeUnH5OYKHg+SyHdzHAnPxzeHIlY6SAtwNwLnAfMA14GzgP2AfYHHim0hMnl3kY4M0Xl3dr4ImS1zkIuDxstmoO74vAesBpdZr8QeAZ1/UuQ8S2wKN9D783/ncTsGciHs9FtZfInstmI7x2AwXDAG//MPSyUQQNOs7NwG4B4CEZxoWBr2D6cmAz4Mmq71UEnn3Q3QHcgcBVGcUPAFsBh0efk/Lcl4F1UhgH8Oj1eTc4Ve0wwNPbngWOT3joF5EXBfCWDL/9ppf/V2B+4I8EfRNYisCzLzonDrlJjlJzoIZ4r+oDJ5m/KXi2BlarawBvlryLQwEvm2Rho5f10w0RtR4KR6hsmjzwlgpQTLbG9Qcra51xBZqCd1xsENZPeMVevnsLWC3D78DAAmauGCBYQ1SmPPBOjTHS94Bx2QZ3ZqGm4L0BXAlcmGAQi7tdgcuAQzP8xwBnxf8sWEwplSkPPF1dl79rMnZUld+gmkAT8PQ2i64lckJg3ilspxYBdgFu62PQIVwjrQR8Fw7i9KcyZcGbFfgNsNK8ADiyssZigVGvNrWHPa6ppIzkM1xKAvh1n8BFgP3dzjGd0TtrURY8Y7G3QToZMIQOi0a52vRSm6O8zFaIZXRwhMtsvnN9ZJjcK6KbefGKMmVFv+eFzR+j67e5zPYm6rGNcOV/e92HTqJc3bCptzlV0Yss7cuol+/uiAJH/qnANYDAvh4KVgQ+BI6ISFemd8LveeDdH6HhU2CFTP8xN3Bd/N1T6UkzBrNVn0WHZJ92ZuKxHFb8CeybyN/Ld7YVPlOQnIX6vYtDBvU52DZ/Ol3REV4N3UsC+wFbAt+EoxgF9VLlH++dIQ+81WPLbBnrSOyU2FdtEE25MdsbNYp0VIz2PLt91t4JLzFPFCiOCR9J4HeI0N8DOrg2WvksvfcMwJbjk5iq2Od5ln5yjaWHnx4zVPtEz26edHgynYqadCshb6UVlqHCWyKQlsijNoz2Pd2guzw15/S/s2M+P4fQEz4oAEZv0+D2v38ngGequTT643XDXnp5z2M8h2HVolC98mZpuQinJ4TtDbdeol/6GVMG0wnnnalZHgZeiWY65UUdg9keuKT1ctQh58VXx587w1zqwBtsWj9xMLzpQa8louAYzDXQgsAPiTJZtmsjv1koFYbqDrzB1nXGa1mfuslw5mkl6arHGqEumaYsemwrCqkDb7B5rQAtJtxnppA5yiLDTwotMOrQmuHlpR9IdeAVm9evBhwsuEnI24LnSb4UIdYPnSyE6lCvIra98IPezvNqWNGVmLlui0RZPyl0+Wof6a6zLtk62BqUhurO84pN7BDCEv3Ouii0LdeB17aFW9TfgdeicdtW3YHXtoVb1N+B16Jx21bdgde2hVvU34HXonHbVv0vOiP+Kc84FfcAAAAASUVORK5CYII=" width="55.5" height="20" /></span><span> and </span><span texencoding="f=-\mu_0 J_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="65.5" height="20" /></span><span>. The following calls to </span><span style=' font-family: monospace;'>specifyCoefficients()</span><span> define these coefficients in all regions. Here we chosse a current density that corresponds to N I = 40 kA turns flowing through the coils. See the book for a more detailed discussion. </span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >specifyCoefficients(model,</span><span style="color: rgb(170, 4, 249);">'m'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'d'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'c'</span><span >,1,</span><span style="color: rgb(170, 4, 249);">'a'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'f'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'Face'</span><span >,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >specifyCoefficients(model,</span><span style="color: rgb(170, 4, 249);">'m'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'d'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'c'</span><span >,1,</span><span style="color: rgb(170, 4, 249);">'a'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'f'</span><span >,0.8378,</span><span style="color: rgb(170, 4, 249);">'Face'</span><span >,[2,4]);</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >specifyCoefficients(model,</span><span style="color: rgb(170, 4, 249);">'m'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'d'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'c'</span><span >,1,</span><span style="color: rgb(170, 4, 249);">'a'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'f'</span><span >,-0.8378,</span><span style="color: rgb(170, 4, 249);">'Face'</span><span >,[3,5]);</span></span></div></div><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre"><span >specifyCoefficients(model,</span><span style="color: rgb(170, 4, 249);">'m'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'d'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'c'</span><span >,1/5000,</span><span style="color: rgb(170, 4, 249);">'a'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'f'</span><span >,0,</span><span style="color: rgb(170, 4, 249);">'Face'</span><span >,6);</span></span></div></div></div><div class = 'S6'><span>The next step is to generate the mesh with a call to </span><span style=' font-family: monospace;'>generateMesh().</span><span> Note that we specify the maximum mesh size by specifying the parameter </span><span style=' font-family: monospace;'>Hmax </span><span>to be 0.05 before displaying the resulting mesh with a call to the built-in function</span><span style=' font-family: monospace;'> pdemesh()</span><span>.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >generateMesh(model,</span><span style="color: rgb(170, 4, 249);">'Hmax'</span><span >,0.05); </span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre"><span >figure; pdemesh(model); </span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="91A11516" data-scroll-top="null" data-scroll-left="null" data-testid="output_2" style="width: 1364px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><div class = 'S6'><span>After having defined the geometry, the boundary conditions, the material properties and the mesh, we are ready to calculate the vector potential with a call to </span><span style=' font-family: monospace;'>solvepde()</span><span>, which returns the structure </span><span style=' font-family: monospace;'>result </span><span>that contains all relevant information about the solution. Then we plot the value of u= </span><span texencoding="A_z" style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAoCAYAAACfKfiZAAACUElEQVRYR+3XSaiNYRjA8d9lYVgZF2RDCsUGIaJMURTFFimJjOUuSIqwEhmLpMylbEUhGTIslJShFMmChVBkyNij996+vu65595zfd9NnWdzvul9nv/7jO9p0MnS0Mn21QHqHvhvPTANJzGoo1VUiwe64gFGojc+dASiFoBVOJiMTsLtMgH64BniN2Q5jpYJcABjMSEZ3Yf1ZQFEzC9jIp4no1cwsyyAMHYeh/EqVcBrDCwDYD62YTR+4iJmJ8ORD+9rhWhLFXTDYyzDtWRoFxrT9WTcKhJgE8ZgYcbIYpxI9ytwpCiAAXiIcXiRMRKhuJ/u92NdUQDRbiPhNucM9MAndMFVzCgCYDzuUPXQ8gbhqZqkUhLG87s4g3MVNJ9FDKWQvnhXC0ElgCXYguH4UUFxxH5NejcFN/8VQEy4p9iA060oXY1ozSErU4NqN0NLHohONx3D8KsVjbNwKb0/hABqt+QBYsjEeN2ZQtCawgjPk/RBJGvMiLzEN9HIsvItefjvsyxAL9zAKMzFhSrbiQSMEgyJPBmKl5k1PVNi5gHWZkLXDDAHkVRDkoJQFAAxar/nQKI8l6bOGNnfJLHmGLanB7GJ/qmKPmMw5mFvVl9bZkG745oWdMfXdN0vJeoO/C4LoMlOdM2YJ+GZvDerdrlad9+0Lg6w0U9242NLyooMQdjbiOOIdt2iFAkQO48+sgdfygZYhK0p8x9hKt6mXLiePcoX5YGo/Wg40U1jlI/AApxK980nqKIA8h6P/hKd8l76X9H8viyAitVUB6h74A+L1mMpIYbD6gAAAABJRU5ErkJggg==" width="16" height="20" /></span><span> (including contour lines) in the call to pdeplot(). Note that </span><span style=' font-family: monospace;'>result.NodalSolution</span><span> is MATLAB's way of specifying u.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >result=solvepde(model);</span></span></div></div><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre"><span >figure; pdeplot(model,</span><span style="color: rgb(170, 4, 249);">'XYdata'</span><span >,result.NodalSolution,</span><span style="color: rgb(170, 4, 249);">'contour'</span><span >,</span><span style="color: rgb(170, 4, 249);">'on'</span><span >);</span></span></div></div></div><div class = 'S6'><span>Since it is nice to see the magnet superimposed ('hold on') to the field, we just plot the model that contains the geometry definition o top of the field u.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >hold </span><span style="color: rgb(170, 4, 249);">on</span><span >; </span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre"><span >pdegplot(model); </span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="4A544988" data-scroll-top="null" data-scroll-left="null" data-testid="output_3" style="width: 1364px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><div class = 'S6'><span>But it's not so much the vector potential </span><span texencoding="u=A_z" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="42" height="20" /></span><span> we are interested in, it's the magentic field components </span><span texencoding="B_x=\partial A_z/\partial y" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="78" height="20" /></span><span> and </span><span texencoding="B_x=-\partial A_z/\partial x" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="88" height="20" /></span><span> or its magnitude </span><span texencoding="|B|=\sqrt{B_x^2+B_y^2}" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="103.5" height="27" /></span><span> we want to know. The gradients are available from the structure </span><span style=' font-family: monospace;'>result </span><span>as members </span><span style=' font-family: monospace;'>XGradients</span><span> and </span><span style=' font-family: monospace;'>YGradients</span><span>. Then we calculate </span><span texencoding="|B|" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="23" height="19" /></span><span>, plot its value an superimpose the geometry.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >Bn=hypot(result.XGradients,result.YGradients);</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >figure; </span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >pdeplot(model,</span><span style="color: rgb(170, 4, 249);">'xydata'</span><span >,Bn,</span><span style="color: rgb(170, 4, 249);">'contour'</span><span >,</span><span style="color: rgb(170, 4, 249);">'on'</span><span >); </span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre"><span >hold </span><span style="color: rgb(170, 4, 249);">on</span><span >; </span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="5DEFBC5A" data-scroll-top="null" data-scroll-left="null" data-testid="output_4" style="width: 1364px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div><div class="inlineWrapper"><div class = 'S10'><span style="white-space: pre"><span >pdegplot(model);</span></span></div></div></div><div class = 'S6'><span>Here we observe from the colorbar on the left that the magnitude of </span><span texencoding="|B|" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="23" height="19" /></span><span> reaches 4 T and that the maximum field occurs at the corners insie the yoke, next to the coils, where the field lines 'crowd' to get around the corner inside the iron with large </span><span texencoding="\mu_r" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15.5" height="20" /></span><span> rather than taking a shortcut through the coil with </span><span texencoding="\mu_r=1" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="41.5" height="20" /></span><span>. </span></div><div class = 'S0'><span>Finally we plot </span><span texencoding="|B|" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="23" height="19" /></span><span> inside the gap of the magnet, which is where a particle beam would travel. To do so, we define the path</span><span style=' font-family: monospace;'> x,y</span><span> along which we want to plot the field, evaluate the gradients with evaluateGradient() along the path, specified by x and y, plot the data and annotate the plot.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S3'><span style="white-space: pre"><span >x=0.05:0.01:1.4; y=zeros(1,length(x));</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >[By,Bx]=evaluateGradient(result,x,y); Bx=-Bx;</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >B=hypot(Bx,By);</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >figure; plot(x,B,</span><span style="color: rgb(170, 4, 249);">'k'</span><span >,</span><span style="color: rgb(170, 4, 249);">'LineWidth'</span><span >,2)</span></span></div></div><div class="inlineWrapper"><div class = 'S4'><span style="white-space: pre"><span >xlabel(</span><span style="color: rgb(170, 4, 249);">'x [m]'</span><span >); ylabel(</span><span style="color: rgb(170, 4, 249);">'B [T]'</span><span >); ylim([0,1.1]); </span></span></div></div><div class="inlineWrapper outputs"><div class = 'S7'><span style="white-space: pre"><span >set(gca,</span><span style="color: rgb(170, 4, 249);">'FontSize'</span><span >,16);</span></span></div><div class = 'S8'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="C2A6E89C" data-scroll-top="null" data-scroll-left="null" data-testid="output_5" style="width: 1364px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><div class = 'S6'><span>We observe that the field inside the gap reaches 1 T and appears to be reasonably constant (at this scape). As an exercise, please plot </span><span texencoding="B_y" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="20" /></span><span> along the same path and explore how it changes, if the y-position of the line along which we evaluate the field is moved sloser to the gap. We note that the field rolls off at the ends of the gap, which is something we will fix by adding small pieces of iron close to the end of the gap, called shims, in a later example. Stay tuned!</span></div><div class = 'S0'><span>Since we might want to compare different paths or different configurations of the magnet it is useful to save some values in a text file that we can import into MATLAB later, or analyze with other programs. The following call to dlmwrite() simply saves the position </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);">x</span><span> and the field </span><span texencoding="|B|" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="23" height="19" /></span><span> as two columns into a text file.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S9'><span style="white-space: pre"><span >dlmwrite(</span><span style="color: rgb(170, 4, 249);">'temp_field.dat'</span><span >,[x',B],</span><span style="color: rgb(170, 4, 249);">'delimiter'</span><span >,</span><span style="color: rgb(170, 4, 249);">'\t'</span><span >);</span></span></div></div></div><div class = 'S6'><span>Here we note that the magnet is symmetric with respect to its mid-plane. This suggests that it might be possible to analayze only the upper (or lower) half and thereby analyze a smaller problem with fewer mesh-points. That's the topic of yet another live script.</span></div><div class = 'S0'><span>Before leaving I'd like to emphasize that practically all problems that require a numerical solution with finite elemente code follow the generic route to</span></div><ul class = 'S11'><li class = 'S12'><span>define the geometry;</span></li><li class = 'S12'><span>specify the boundary conditions;</span></li><li class = 'S12'><span>specify material properties;</span></li><li class = 'S12'><span>discretize the geometry with a mesh;</span></li><li class = 'S12'><span>solve the equations;</span></li><li class = 'S12'><span>post-process the solution to determine physically relevant properties.</span></li></ul><div class = 'S0'><span>That's it for now.</span></div>
<br>
<!--
##### SOURCE BEGIN #####
%%
% Companion software for "Volker Ziemann, _Hands-on Accelerator physics using
% MATLAB, CRCPress, 2019_" (<https://www.crcpress.com/9781138589940 https://www.crcpress.com/9781138589940>)
%% C-magnet (Section 4.3.2)
% Volker Ziemann, 211107, CC-BY-SA-4.0
%
% *Important:* this example requires the PDE toolbox!
%
% Magnetostatic problems in two dimensions $x$ and $y$ are described by the
% Poisson equation for the vector potential $A_z$
%
% $$-\vec{\nabla} \cdot \left(\frac{1}{\mu_r }\vec{\nabla} A_z \right)=\mu_0
% J_z$$
%
% where $J_z$ is the density [A/${\textrm{mm}}^2$] of a current flowing in the
% $z$ direction. In the following example we will analyze a C-shaped dipole magnet
% and then use the Poisson equation to find $A_z$ from which we derive the magnetic
% field components $B_x$ and $B_y$.
%
% The geometry of this C-shaped dipole magnet consisting of an iron |yoke|,
% current-carrying coils |C1| to |C4|, and some space around the magnet that we
% call |World|. Each part is defined by a column vector of the same length.
% The |yoke| is the longest vector and is defined as a polygon (first entry is
% 2), defined by 13 points (second entry), followed by the 13 x-positions and
% then the 13 y-positions of each of the defining points. The four coils are defined
% as rectangles by using 3 and 4 as first and second entry in their definitions,
% again, followed by the four x-positions and the four y-positions. Likewise the
% enclosing volume, the World, is defined as a rectangle. Note the zeros appended
% to the end of |Cn| and the |World|. They are required (by MATLAB internals)
% to make all column vectors that define the geometry have equal length. See the
% definition of gd below, which is an array of these column vectors and if defined
% this way the entries must have equal length.
clear all; close all
yoke=[2; 13; ... %..Yoke
0;0;0.3;0.3;1;1;-0.6;-0.6;1;1;0.3;0.3;0; ...
0;0.3;0.3;0.05;0.05;0.8;0.8;-0.8;-0.8;-0.05;-0.05;-0.3;-0.3];
C1=[3;4;0;0;0.3;0.3; 0.1;0.3;0.3;0.1;zeros(18,1)];
C2=[3;4;1;1;1.3;1.3; 0.1;0.3;0.3;0.1;zeros(18,1)];
dy=0.4;
C3=[3;4;0;0;0.3;0.3; 0.1-dy;0.3-dy;0.3-dy;0.1-dy;zeros(18,1)];
C4=[3;4;1;1;1.3;1.3; 0.1-dy;0.3-dy;0.3-dy;0.1-dy;zeros(18,1)];
World=[3;4;-1.8;1.8;1.8;-1.8;-1.2;-1.2;1.2;1.2;zeros(18,1)];
%%
% Now we are ready to assemble the geometry into a single structure called |gd|,
% name the regions with |ns|, and define the relation among the different regions
% in |sf|. The call to the function |decsg()| the combines this information into
% a single entity |g| that describes the geometry.
gd=[World,yoke,C1,C2,C3,C4]; % assemble geometry
ns=char('World','yoke','C1','C2','C3','C4')'; % names of the regions
sf='World+yoke+C1+C2+C3+C4';
g=decsg(gd,sf,ns);
%%
% The following code first creates a model with one dynamic variable, which
% is the z-component $A_z$ of the vector potential. Internally MATLAB calls the
% single dynamic variable |u|. Then MATLAB internally generates the structure
% |model| from the provided geometry g, which we immediately plot. First we ask
% MATLAB to display the |EdgeLabels|, because we need them to specify boundary
% conditions|.|
model=createpde(1);
geometryFromEdges(model,g);
pdegplot(model,'EdgeLabels','on');
%%
% Now we are ready to specify the boundary conditions with |applyBoundaryCondition().|
% Note that the numbers in the array |[1,2,25,26]| correspond to the outer walls
% of the integration volume which is far away from the magnet and we require u
% = $A_z$ to vanish. All internal boundaries are automatically taken care of
% by MATLAB and we need not specify them.
applyBoundaryCondition(model,'Edge',[1,2,25,26],'u',0);
%%
% In the next plot we ask MATLAB to display the |SubDomainLabels|, which we
% need to specify the material coefficients in the respective regions.
figure;
pdegplot(model,'SubDomainLabels','on');
%%
% Once we know the names, we can use them to define the material in the respective
% regions. Here '1' referes to the region, labeled 'F1' in the plot. The material
% coefficients |m, d, c, a,| and f refer to MATLAB's way of specifying the coefficients
% of a partial differential equation, outlined in the following equation
%
% $$ m\frac{\partial^2u}{\partial t^2}+d\frac{\partial u}{\partial t}-\vec\nabla\cdot\left(c
% \vec\nabla u\right) + a u = f$$
%
% This equation has the form of the Poisson equation, shown above, provided
% we set $m=d=a=0$ and identify $c=1/\mu_r$ and $f=-\mu_0 J_z$. The following
% calls to |specifyCoefficients()| define these coefficients in all regions. Here
% we chosse a current density that corresponds to N I = 40 kA turns flowing through
% the coils. See the book for a more detailed discussion.
specifyCoefficients(model,'m',0,'d',0,'c',1,'a',0,'f',0,'Face',1);
specifyCoefficients(model,'m',0,'d',0,'c',1,'a',0,'f',0.8378,'Face',[2,4]);
specifyCoefficients(model,'m',0,'d',0,'c',1,'a',0,'f',-0.8378,'Face',[3,5]);
specifyCoefficients(model,'m',0,'d',0,'c',1/5000,'a',0,'f',0,'Face',6);
%%
% The next step is to generate the mesh with a call to |generateMesh().| Note
% that we specify the maximum mesh size by specifying the parameter |Hmax| to
% be 0.05 before displaying the resulting mesh with a call to the built-in function
% |pdemesh()|.
generateMesh(model,'Hmax',0.05);
figure; pdemesh(model);
%%
% After having defined the geometry, the boundary conditions, the material properties
% and the mesh, we are ready to calculate the vector potential with a call to
% |solvepde()|, which returns the structure |result| that contains all relevant
% information about the solution. Then we plot the value of u= $A_z$ (including
% contour lines) in the call to pdeplot(). Note that |result.NodalSolution| is
% MATLAB's way of specifying u.
result=solvepde(model);
figure; pdeplot(model,'XYdata',result.NodalSolution,'contour','on');
%%
% Since it is nice to see the magnet superimposed ('hold on') to the field,
% we just plot the model that contains the geometry definition o top of the field
% u.
hold on;
pdegplot(model);
%%
% But it's not so much the vector potential $u=A_z$ we are interested in, it's
% the magentic field components $B_x=\partial A_z/\partial y$ and $B_x=-\partial
% A_z/\partial x$ or its magnitude $|B|=\sqrt{B_x^2+B_y^2}$ we want to know.
% The gradients are available from the structure |result| as members |XGradients|
% and |YGradients|. Then we calculate $|B|$, plot its value an superimpose the
% geometry.
Bn=hypot(result.XGradients,result.YGradients);
figure;
pdeplot(model,'xydata',Bn,'contour','on');
hold on;
pdegplot(model);
%%
% Here we observe from the colorbar on the left that the magnitude of $|B|$
% reaches 4 T and that the maximum field occurs at the corners insie the yoke,
% next to the coils, where the field lines 'crowd' to get around the corner inside
% the iron with large $\mu_r$ rather than taking a shortcut through the coil with
% $\mu_r=1$.
%
% Finally we plot $|B|$ inside the gap of the magnet, which is where a particle
% beam would travel. To do so, we define the path |x,y| along which we want
% to plot the field, evaluate the gradients with evaluateGradient() along the
% path, specified by x and y, plot the data and annotate the plot.
x=0.05:0.01:1.4; y=zeros(1,length(x));
[By,Bx]=evaluateGradient(result,x,y); Bx=-Bx;
B=hypot(Bx,By);
figure; plot(x,B,'k','LineWidth',2)
xlabel('x [m]'); ylabel('B [T]'); ylim([0,1.1]);
set(gca,'FontSize',16);
%%
% We observe that the field inside the gap reaches 1 T and appears to be reasonably
% constant (at this scape). As an exercise, please plot $B_y$ along the same path
% and explore how it changes, if the y-position of the line along which we evaluate
% the field is moved sloser to the gap. We note that the field rolls off at the
% ends of the gap, which is something we will fix by adding small pieces of iron
% close to the end of the gap, called shims, in a later example. Stay tuned!
%
% Since we might want to compare different paths or different configurations
% of the magnet it is useful to save some values in a text file that we can import
% into MATLAB later, or analyze with other programs. The following call to dlmwrite()
% simply saves the position $x$ and the field $|B|$ as two columns into a text
% file.
dlmwrite('temp_field.dat',[x',B],'delimiter','\t');
%%
% Here we note that the magnet is symmetric with respect to its mid-plane. This
% suggests that it might be possible to analayze only the upper (or lower) half
% and thereby analyze a smaller problem with fewer mesh-points. That's the topic
% of yet another live script.
%
% Before leaving I'd like to emphasize that practically all problems that require
% a numerical solution with finite elemente code follow the generic route to
%%
% * define the geometry;
% * specify the boundary conditions;
% * specify material properties;
% * discretize the geometry with a mesh;
% * solve the equations;
% * post-process the solution to determine physically relevant properties.
%%
% That's it for now.
##### SOURCE END #####
-->
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