-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy pathgaussian_beamwaist_second_lens_wz_depent100.nb
2448 lines (2419 loc) · 130 KB
/
gaussian_beamwaist_second_lens_wz_depent100.nb
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 11.1' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 130315, 2440]
NotebookOptionsPosition[ 127582, 2375]
NotebookOutlinePosition[ 128093, 2395]
CellTagsIndexPosition[ 128050, 2392]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{"\"\<now with a0-depending focusing lens of target\>\"",
"\[IndentingNewLine]"}], "\[IndentingNewLine]", "$MaxExtraPrecision", "\
\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"w0", " ", "=", " ", "0.012"}], ";"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"lambdaL", " ", "=", " ", "0.0008"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"q", " ", "=", " ",
RowBox[{
SuperscriptBox["w0", "2"], "*",
RowBox[{"\[Pi]", "/",
RowBox[{"(", "lambdaL", ")"}]}]}]}], ";"}], "\[IndentingNewLine]",
RowBox[{"D0", " ", "=", " ", "0.00005"}], "\[IndentingNewLine]",
RowBox[{"R", " ", "=", " ",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"4", "*",
RowBox[{"(",
RowBox[{"D0", "^", "2"}], ")"}]}], "+",
RowBox[{"(",
RowBox[{"0.012", "^", "2"}], ")"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{"8", "*", "D0"}], ")"}]}]}], "\[IndentingNewLine]",
RowBox[{"Print", "[",
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{"8", "*", "D0"}], ")"}]}], "]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"Print", "[",
RowBox[{"4", "*",
RowBox[{"D0", "^", "2"}]}], "]"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"zr", " ", "=", " ",
RowBox[{"\[Pi]", "*",
RowBox[{
RowBox[{"(",
RowBox[{"w0", "^", "2"}], ")"}], "/", "lambdaL"}]}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"wz", " ", "=", " ",
RowBox[{"w0", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
SuperscriptBox[
RowBox[{"(",
RowBox[{"u", "/", "zr"}], ")"}], "2"]}], ")"}], "0.5"]}]}],
";"}], "\[IndentingNewLine]", "\"\<wz^2/8*Dz\>\"", "\[IndentingNewLine]",
RowBox[{
RowBox[{"N", "[",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{"8", "*", "D0"}], ")"}]}], ",", " ",
RowBox[{"u", "=",
RowBox[{"-", "2"}]}]}], "]"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{"Clear", "[",
RowBox[{"u", ",", " ", "wz"}], "]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"wz", " ", "=", " ",
RowBox[{"w0", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
SuperscriptBox[
RowBox[{"(",
RowBox[{"u", "/", "zr"}], ")"}], "2"]}], ")"}], "0.5"]}]}],
";"}], "\[IndentingNewLine]", "\"\<maximum denting Dstart in focus:\>\"", "\
\[IndentingNewLine]",
RowBox[{"Dstart", " ", "=", " ", "0.00005"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"D100", "=",
RowBox[{"Dstart", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["w0", "2"], "/",
SuperscriptBox["wz", "2"]}], ")"}], "0.5"]}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"R100", "=", " ",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"4", "*",
RowBox[{"(",
RowBox[{"D100", "^", "2"}], ")"}]}], "+",
RowBox[{"(",
RowBox[{"wz", "^", "2"}], ")"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{"8", "*", "D100"}], ")"}]}]}],
";"}], "\[IndentingNewLine]", "\"\<focal length inwards\>\"", "\
\[IndentingNewLine]",
RowBox[{
RowBox[{"f1", "=", " ",
RowBox[{"R100", "/", "2"}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]", "\"\<focal length \
outwards\>\"", "\[IndentingNewLine]",
RowBox[{
RowBox[{"fout", "=", " ",
RowBox[{
RowBox[{"-", "R100"}], "/", "2"}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"AA", "=", " ",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"(",
SuperscriptBox["q", "2"], ")"}], "/", "f1"}], ")"}], " ", "-", " ",
RowBox[{"u", "*",
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"u", "/", "f1"}]}], ")"}]}]}], ")"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"BB", "=", " ",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
SuperscriptBox["q", "2"], "/",
SuperscriptBox["f1", "2"]}], ")"}], "+",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"u", "/", "f1"}]}], ")"}], "2"]}], ")"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"A", "=", " ",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"(",
SuperscriptBox["q", "2"], ")"}], "/", "fout"}], ")"}], " ", "-", " ",
RowBox[{"u", "*",
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"u", "/", "fout"}]}], ")"}]}]}], ")"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"B", " ", "=", " ",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
SuperscriptBox["q", "2"], "/",
SuperscriptBox["fout", "2"]}], ")"}], "+",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"u", "/", "fout"}]}], ")"}], "2"]}], ")"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"vin", "=", " ",
RowBox[{"AA", "/", "BB"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"vpositive", "=", " ",
RowBox[{"A", "/", "B"}]}], ";"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"{", "f1", "}"}], ",", " ",
RowBox[{"{",
RowBox[{"u", ",", " ",
RowBox[{"-", "5"}], ",", "5"}], "}"}], ",", " ",
RowBox[{"PlotLegends", "\[Rule]",
RowBox[{"{",
RowBox[{"\"\<R_P\>\"", ",", " ", "\"\<w(z)\>\""}], "}"}]}]}], "]"}],
"\[IndentingNewLine]", "\[IndentingNewLine]",
"\[IndentingNewLine]"}], "\[IndentingNewLine]", "\"\<new focal position \
at\>\"", "\[IndentingNewLine]",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"{",
RowBox[{"vin", ",", " ", "vpositive"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{"u", ",", " ",
RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", " ",
RowBox[{"PlotLegends", "\[Rule]",
RowBox[{"{",
RowBox[{
"\"\<focal position inward denting\>\"", ",", " ",
"\"\<focal position for outward denting\>\""}], "}"}]}]}], "]"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"wnew", " ", "=",
RowBox[{"w0", "*", " ",
SqrtBox[
RowBox[{"(",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"vin", "/", "f1"}]}], ")"}], "2"], "+",
RowBox[{
RowBox[{"(",
RowBox[{"1", "/",
SuperscriptBox["q", "2"]}], ")"}], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"u", "+",
RowBox[{"vin", "*",
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"(",
RowBox[{"u", "/", "f1"}], ")"}]}], ")"}]}]}], ")"}], "2"]}]}],
")"}]]}]}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"woutward", " ", "=",
RowBox[{"\[Sqrt]",
RowBox[{"(",
RowBox[{
SuperscriptBox["w0", "2"], "*",
RowBox[{"(",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"vpositive", "/", "fout"}]}], ")"}], "2"], "+",
RowBox[{
RowBox[{"(",
RowBox[{"1", "/",
SuperscriptBox["q", "2"]}], ")"}], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"u", "+",
RowBox[{"vpositive", "*",
RowBox[{"(",
RowBox[{"1", "-",
RowBox[{"(",
RowBox[{"u", "/", "fout"}], ")"}]}], ")"}]}]}], ")"}],
"2"]}]}], ")"}]}], ")"}]}]}],
";"}], "\[IndentingNewLine]", "\"\<new beamwaist w0'\>\"", "\
\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"{",
RowBox[{"wnew", ",", " ", "woutward"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{"u", ",", " ",
RowBox[{"-", "2"}], ",", " ", "2"}], "}"}], ",", " ",
RowBox[{"PlotLegends", "\[Rule]",
RowBox[{"{",
RowBox[{"\"\<w0 new inwards \>\"", ",", " ", "\"\<w0 new outwards\>\""}],
"}"}]}], ",", " ",
RowBox[{"PlotRange", "->", "All"}]}], "]"}], "\[IndentingNewLine]",
RowBox[{"Clear", "[",
RowBox[{
"vin", ",", " ", "R100", ",", " ", "wnew", ",", " ", "woutward", ",", " ",
"AA", ",", " ", "BB", ",", " ", "A", ",", " ", "B", ",", " ", "f1", ",",
" ", "fout", ",", " ", "zr", ",", " ", "q", ",", " ", "D100", ",", " ",
"vpositive", ",", "wz", ",", " ", "u", ",", " ", "Dstart"}],
"]"}]}], "Input",
CellChangeTimes->{{3.794314875410557*^9, 3.794314943370333*^9}, {
3.7943149821542397`*^9, 3.7943150294124484`*^9}, {3.794315104605982*^9,
3.794315105007962*^9}, {3.7943151963252907`*^9, 3.7943151974898167`*^9}, {
3.7943152641208725`*^9, 3.7943152705120645`*^9}, {3.7943155648997865`*^9,
3.7943155670783978`*^9}, {3.7943156657568693`*^9, 3.794315667418025*^9}, {
3.79431572857049*^9, 3.7943157639360247`*^9}, {3.794315816326953*^9,
3.794315850456994*^9}, {3.7943159097165976`*^9, 3.794315911719454*^9}, {
3.79456845543289*^9, 3.794568473081211*^9}, {3.7945685631768*^9,
3.7945685642118163`*^9}, {3.7946345903526363`*^9,
3.7946346049881926`*^9}, {3.7946346396745405`*^9,
3.7946346417148485`*^9}, {3.794634698520875*^9, 3.794634698940757*^9},
3.7946347496118183`*^9, {3.794634830427973*^9, 3.7946349451495647`*^9}, {
3.7946383649296074`*^9, 3.7946383672081594`*^9}, {3.7946384024580708`*^9,
3.794638431110917*^9}, {3.7946384962522106`*^9, 3.794638505981099*^9}, {
3.7946410360112934`*^9, 3.7946413307191305`*^9}, {3.794641399895091*^9,
3.7946414657473125`*^9}, {3.7946415004587183`*^9, 3.794641500527658*^9}, {
3.7946417392054167`*^9, 3.794641743405181*^9}, {3.7946418148662376`*^9,
3.794641834264062*^9}, {3.794641896573287*^9, 3.794641939475767*^9}, {
3.7946423227989025`*^9, 3.7946423261108227`*^9}, {3.7947247085234604`*^9,
3.7947247203076553`*^9}, {3.794726275053335*^9, 3.794726426512578*^9}, {
3.7947264889820504`*^9, 3.7947264891418724`*^9}, {3.794730909820056*^9,
3.7947309099270077`*^9}, {3.7947329342027817`*^9,
3.7947329500967813`*^9}, {3.794733154886886*^9, 3.7947331657066536`*^9}, {
3.7947332381834517`*^9, 3.7947332498499203`*^9}, {3.7947364488041253`*^9,
3.7947364546821203`*^9}, {3.794807202332262*^9, 3.794807256969123*^9}, {
3.794807287417116*^9, 3.7948072917819333`*^9}, {3.7952425400951138`*^9,
3.795242540465025*^9}, {3.7952425749698663`*^9, 3.7952425794332757`*^9}, {
3.7952436984554286`*^9, 3.795243698848116*^9}, 3.7952441454224935`*^9, {
3.7952442796003923`*^9, 3.7952443081141925`*^9}, {3.7952443836440444`*^9,
3.7952443843272347`*^9}, {3.7952444785888405`*^9, 3.795244503457402*^9}, {
3.7952448243135*^9, 3.7952449567958193`*^9}, {3.7952465662620053`*^9,
3.7952465687029686`*^9}, {3.7952466156289415`*^9, 3.795246618406769*^9}, {
3.795246665211236*^9, 3.7952466720526237`*^9}, {3.795249290657151*^9,
3.7952493256719313`*^9}, {3.795249532788207*^9, 3.7952495447476788`*^9}, {
3.795249713021587*^9, 3.7952497738810577`*^9},
3.795250092325485*^9},ExpressionUUID->"8eb55666-f6ae-4817-b1dc-\
97623cb3b7f6"],
Cell[BoxData["\<\"now with a0-depending focusing lens of target\"\>"], \
"Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097669506*^9},ExpressionUUID->"072b0ff0-f759-46ae-93db-\
f29944b57a68"],
Cell[BoxData["50.`"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097669506*^9},ExpressionUUID->"a82ace7e-07d1-4687-821c-\
4b7486a59166"],
Cell[BoxData["0.00005`"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097669506*^9},ExpressionUUID->"bb8e1c6c-a9db-406f-aa8f-\
3460b5fee50d"],
Cell[BoxData["0.360025`"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097669506*^9},ExpressionUUID->"420b34aa-2cf6-4959-ac46-\
a9c43ce84cc0"],
Cell[CellGroupData[{
Cell[BoxData["2500.`"], "Print",
CellChangeTimes->{
3.7952448497231293`*^9, {3.7952448902036734`*^9, 3.7952449155930796`*^9},
3.7952449579688015`*^9, 3.795246570176077*^9, 3.7952466194782915`*^9,
3.7952466769808216`*^9, {3.795249293874092*^9, 3.7952493307806835`*^9},
3.7952495485392447`*^9, {3.795249731748011*^9, 3.79524975746432*^9},
3.795250097669506*^9},ExpressionUUID->"c3100b44-5953-40e3-bd1c-\
6f81b0a05e41"],
Cell[BoxData["1.`*^-8"], "Print",
CellChangeTimes->{
3.7952448497231293`*^9, {3.7952448902036734`*^9, 3.7952449155930796`*^9},
3.7952449579688015`*^9, 3.795246570176077*^9, 3.7952466194782915`*^9,
3.7952466769808216`*^9, {3.795249293874092*^9, 3.7952493307806835`*^9},
3.7952495485392447`*^9, {3.795249731748011*^9, 3.79524975746432*^9},
3.795250097669506*^9},ExpressionUUID->"b665b34f-dc84-4e97-ac32-\
1744bdc4a5e2"]
}, Open ]],
Cell[BoxData["\<\"wz^2/8*Dz\"\>"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097685131*^9},ExpressionUUID->"2cae66ba-fd3e-4b46-81cc-\
1e763a0cc265"],
Cell[BoxData[
TemplateBox[{
"N","precsm",
"\"Requested precision \\!\\(\\*RowBox[{\\\"-\\\", \\\"2\\\"}]\\) is \
smaller than $MinPrecision. Using $MinPrecision instead.\"",2,577,14,
21477121931308064283,"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.7952448902036734`*^9, 3.7952449155960765`*^9},
3.7952449579688015`*^9, 3.795246570191698*^9, 3.7952466194782915`*^9,
3.7952466769808216`*^9, {3.795249293874092*^9, 3.795249330783736*^9},
3.7952495485392447`*^9, {3.795249731763635*^9, 3.7952497574799843`*^9},
3.795250097685131*^9},ExpressionUUID->"1a0ae20e-df87-4fc5-81f4-\
e6e7cce18708"],
Cell[BoxData["2500.`"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.79525009773203*^9},ExpressionUUID->"e76ed453-7930-4ce7-b2a1-\
6432dc06fe6c"],
Cell[BoxData["\<\"maximum denting Dstart in focus:\"\>"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.79525009773203*^9},ExpressionUUID->"0a6b5d6d-1083-4a09-8625-\
df241ffc970d"],
Cell[BoxData["0.00005`"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.79525009773203*^9},ExpressionUUID->"0313da73-048b-4602-b83f-\
cbca408ec2f6"],
Cell[BoxData[
RowBox[{"0.00005`", " ",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]], ")"}],
"0.5`"]}]], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.79525009773203*^9},ExpressionUUID->"86ed97c5-b1b9-4485-822c-\
4aa985dfeb90"],
Cell[BoxData["\<\"focal length inwards\"\>"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097747616*^9},ExpressionUUID->"7320dfef-3557-48aa-9031-\
e6b47c476a12"],
Cell[BoxData[
FractionBox[
RowBox[{"1250.`", " ",
RowBox[{"(",
RowBox[{
RowBox[{"1.`*^-8", " ",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]], ")"}], "1.`"]}],
"+",
RowBox[{"0.000144`", " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]], ")"}],
"0.5`"]]], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097747616*^9},ExpressionUUID->"26784185-d808-49dc-90c0-\
097dc8276b15"],
Cell[BoxData["\<\"focal length outwards\"\>"], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097747616*^9},ExpressionUUID->"181a5e34-0454-43c0-8fce-\
44a246c064ab"],
Cell[BoxData[
RowBox[{"-",
FractionBox[
RowBox[{"1250.`", " ",
RowBox[{"(",
RowBox[{
RowBox[{"1.`*^-8", " ",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]], ")"}], "1.`"]}],
"+",
RowBox[{"0.000144`", " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"3.1271970259980795`", " ",
SuperscriptBox["u", "2"]}]}], ")"}], "1.`"]], ")"}],
"0.5`"]]}]], "Output",
CellChangeTimes->{
3.794314945800291*^9, {3.7943150310646667`*^9, 3.794315048506762*^9},
3.7943151072098074`*^9, 3.794315153286956*^9, 3.7943152075483303`*^9,
3.7943152385253363`*^9, 3.794315275370985*^9, {3.7943155721302013`*^9,
3.7943155761584516`*^9}, 3.794315668786056*^9, {3.7943157526510787`*^9,
3.7943157701853943`*^9}, {3.794315824457923*^9, 3.7943158628430786`*^9}, {
3.794315916259015*^9, 3.7943159228369756`*^9}, 3.7945684773567142`*^9,
3.7945689948613462`*^9, {3.7946346127647614`*^9, 3.794634663809724*^9},
3.7946347063193965`*^9, {3.7946347526574287`*^9, 3.7946347820448813`*^9}, {
3.794634895506701*^9, 3.7946349150137067`*^9}, 3.794634946553169*^9,
3.7946383703881855`*^9, {3.794638406513837*^9, 3.794638433036111*^9},
3.794638516239507*^9, {3.794641270207844*^9, 3.7946413318098054`*^9}, {
3.7946414783608007`*^9, 3.7946415054439983`*^9}, {3.7946417486042614`*^9,
3.794641763332284*^9}, {3.7946418657845855`*^9, 3.794641886680495*^9},
3.79464194338577*^9, 3.7946423317964315`*^9, 3.794724727263647*^9,
3.79472632915077*^9, {3.7947264047106733`*^9, 3.794726427639537*^9},
3.794726490201174*^9, 3.794730912925059*^9, 3.7947329522013664`*^9, {
3.794733156492443*^9, 3.7947331676599183`*^9}, {3.7947332394921923`*^9,
3.79473327410503*^9}, 3.7948071617754903`*^9, 3.794807258345866*^9,
3.7948072931551332`*^9, 3.795242367411996*^9, 3.7952424583155403`*^9,
3.7952425424929047`*^9, 3.795242583699671*^9, 3.7952437027533703`*^9,
3.795244147365472*^9, {3.7952442871992188`*^9, 3.7952443120813293`*^9}, {
3.795244387945779*^9, 3.7952444028510475`*^9}, {3.7952444796953225`*^9,
3.79524450561207*^9}, 3.7952448497200675`*^9, {3.795244890200576*^9,
3.795244915584087*^9}, 3.795244957964657*^9, 3.795246570176077*^9,
3.7952466194782915`*^9, 3.795246676978777*^9, {3.795249293874092*^9,
3.795249330772705*^9}, 3.795249548533166*^9, {3.795249731748011*^9,
3.79524975746432*^9},
3.795250097763236*^9},ExpressionUUID->"d2d1dd1d-2625-4100-8a79-\
8c96206235fe"],
Cell[BoxData[
TemplateBox[{GraphicsBox[{{{{}, {},
TagBox[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]],
LineBox[CompressedData["
1:eJw1WXc0Fn7ctbPXYzZRZKWySujzlZBCEioKGSX5yUjJKpFQkqysomRllUKS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"]]}, Annotation[#, "Charting`Private`Tag$10683#1"]& ]}}, {}, {}}, {
DisplayFunction -> Identity, Ticks -> {Automatic, Automatic},
AxesOrigin -> {0, 0}, FrameTicks -> {{Automatic,
Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic,
Charting`ScaledFrameTicks[{Identity, Identity}]}},
GridLines -> {None, None}, DisplayFunction -> Identity,
PlotRangePadding -> {{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],