-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathtestsforana.nb
6299 lines (6212 loc) · 276 KB
/
testsforana.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 12.1' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 282160, 6291]
NotebookOptionsPosition[ 277336, 6205]
NotebookOutlinePosition[ 277853, 6224]
CellTagsIndexPosition[ 277810, 6221]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
RowBox[{
RowBox[{"inverseb", "[", "x_", "]"}], ":=",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"Normal", "[",
RowBox[{"InverseSeries", "[",
RowBox[{"Series", "[",
RowBox[{
RowBox[{"BesselJ", "[",
RowBox[{"1", ",", "y"}], "]"}], ",",
RowBox[{"{",
RowBox[{"y", ",", "0", ",", "20"}], "}"}]}], "]"}], "]"}], "]"}],
")"}], "/.",
RowBox[{"y", "\[Rule]", "x"}]}], "//", "N"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"sim", "[",
RowBox[{"dd_", ",", " ", "scale_", ",", " ", "exp_"}], "]"}], ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{"d", ",", " ", "sc", ",", " ", "expp"}], "}"}], ",", " ",
RowBox[{
RowBox[{"d", "=", "dd"}], ";", " ",
RowBox[{"sc", " ", "=", "scale"}], ";", " ",
RowBox[{"expp", "=", "exp"}], ";", " ", "\[IndentingNewLine]",
RowBox[{"\[Phi]", " ", "=", " ",
RowBox[{"d", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ";", "\[IndentingNewLine]",
RowBox[{
RowBox[{"amplitude", "[", "t_", "]"}], ":=",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{", "tt", "}"}], ",", " ",
RowBox[{
RowBox[{"tt", "=", "t"}], ";", "\[IndentingNewLine]",
RowBox[{"ret", "=", "0"}], ";", "\[IndentingNewLine]",
RowBox[{"For", "[",
RowBox[{
RowBox[{"m", "=", "0"}], ",", " ",
RowBox[{"m", "\[LessEqual]", " ",
RowBox[{
RowBox[{"Length", "[", "d", "]"}], "-", "2"}]}], ",", " ",
RowBox[{"m", "++"}], ",", "\[IndentingNewLine]",
RowBox[{
RowBox[{"If", "[",
RowBox[{
RowBox[{"m", "\[Equal]", "0"}], ",", " ",
RowBox[{"scalar", "=",
RowBox[{"a", "/", "2"}]}], ",",
RowBox[{"scalar", "=", "a"}]}], "]"}], ";",
"\[IndentingNewLine]",
RowBox[{"ret", "+=",
RowBox[{
RowBox[{"inverseb", "[",
RowBox[{"scalar", "*",
RowBox[{"d", "[",
RowBox[{"[",
RowBox[{"m", "+", "2"}], "]"}], "]"}]}], "]"}], "*",
RowBox[{"Cos", "[",
RowBox[{
RowBox[{"m", "*", "\[Phi]"}], " ", "+", " ",
RowBox[{"m", "*", "\[Omega]", "*", "tt"}]}], "]"}]}]}]}]}],
"]"}], ";", "\[IndentingNewLine]", "ret"}]}], "]"}]}], ";",
"\[IndentingNewLine]",
RowBox[{"\[Omega]", " ", "=", " ",
RowBox[{"2", "*", "\[Pi]", "*", "180"}]}], ";", "\[IndentingNewLine]",
RowBox[{"U", " ", "=", " ",
RowBox[{"2", "\[Pi]", "*", "1"}]}], ";", "\[IndentingNewLine]",
RowBox[{"a", " ", "=", " ", ".1"}], ";", "\[IndentingNewLine]",
RowBox[{"end", " ", "=", " ",
RowBox[{
RowBox[{"(",
RowBox[{"\[Pi]", "/",
RowBox[{"(",
RowBox[{"a", "*", "U", "*", "2"}], ")"}]}], ")"}], "*", "sc"}]}],
";", " ",
RowBox[{"(*", " ",
RowBox[{"twice", " ", "for", " ", "no", " ", "precomp"}], "*)"}],
"\[IndentingNewLine]",
RowBox[{"up", "=",
RowBox[{"1", "/",
RowBox[{"Sqrt", "[", "2", "]"}]}]}], ";", "\[IndentingNewLine]",
RowBox[{"down", "=",
RowBox[{"1", "/",
RowBox[{"Sqrt", "[", "2", "]"}]}]}], ";", "\[IndentingNewLine]",
RowBox[{"h", "=", "0"}], ";", " ", "\[IndentingNewLine]",
RowBox[{"For", "[",
RowBox[{
RowBox[{"i", "=", "0"}], ",", " ",
RowBox[{"i", "\[LessEqual]",
RowBox[{
RowBox[{"Length", "[", "d", "]"}], "-", "2"}]}], ",", " ",
RowBox[{"i", "++"}], ",", "\[IndentingNewLine]",
RowBox[{"h", " ", "+=", " ",
RowBox[{"U", "*",
RowBox[{"Cos", "[",
RowBox[{
RowBox[{"i", "*", "\[Omega]", "*", "x"}], "-",
RowBox[{"\[Pi]", "/", "2"}], " ", "+", " ",
RowBox[{"amplitude", "[", "x", "]"}]}], "]"}]}]}]}], "]"}], ";",
"\[IndentingNewLine]",
RowBox[{"s", "=",
RowBox[{"NDSolve", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"\[ImaginaryI]", "*",
RowBox[{
RowBox[{"y", "'"}], "[", "x", "]"}]}], "\[Equal]",
RowBox[{"h", "*",
RowBox[{"y", "[", "x", "]"}]}]}], " ", ",",
RowBox[{
RowBox[{"y", "[", "0", "]"}], "\[Equal]", "up"}]}], "}"}], ",",
"y", ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "end"}], "}"}], ",", " ",
RowBox[{"MaxSteps", "\[Rule]", "Infinity"}]}], "]"}]}], ";",
"\[IndentingNewLine]",
RowBox[{"up", " ", "=", " ",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"y", "[", "end", "]"}], "/.", "s"}], "]"}], "[",
RowBox[{"[", "1", "]"}], "]"}]}], ";", "\[IndentingNewLine]",
RowBox[{"s", "=",
RowBox[{"NDSolve", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"\[ImaginaryI]", "*",
RowBox[{
RowBox[{"y", "'"}], "[", "x", "]"}]}], "\[Equal]",
RowBox[{
RowBox[{"-", "h"}], "*",
RowBox[{"y", "[", "x", "]"}]}]}], " ", ",",
RowBox[{
RowBox[{"y", "[", "0", "]"}], "\[Equal]", "down"}]}], "}"}], ",",
"y", ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "end"}], "}"}], ",", " ",
RowBox[{"MaxSteps", "\[Rule]", "Infinity"}]}], "]"}]}], ";",
"\[IndentingNewLine]",
RowBox[{"down", " ", "=", " ",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"y", "[", "end", "]"}], "/.", "s"}], "]"}], "[",
RowBox[{"[", "1", "]"}], "]"}]}], ";", "\[IndentingNewLine]",
RowBox[{"If", "[",
RowBox[{
RowBox[{"expp", "\[Equal]", "1"}], ",",
RowBox[{"Re", "[",
RowBox[{
RowBox[{"up", "*",
RowBox[{"Conjugate", "[", "down", "]"}]}], " ", "+", " ",
RowBox[{"down", "*",
RowBox[{"Conjugate", "[", "up", "]"}]}]}], "]"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"Re", "[", "up", "]"}], ",", " ",
RowBox[{"Im", "[", "up", "]"}]}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"Re", "[", "down", "]"}], ",", " ",
RowBox[{"Im", "[", "down", "]"}]}], "}"}]}], "}"}]}], "]"}]}]}],
"]"}]}], ";"}]}], "Input",
CellChangeTimes->{{3.854726685474325*^9, 3.8547268427368402`*^9},
3.854726920816494*^9, {3.8547269806782217`*^9, 3.854727007550851*^9}, {
3.85472704428695*^9, 3.8547270709248533`*^9}, {3.854727135590666*^9,
3.854727202045889*^9}, {3.854727266605085*^9, 3.854727298517519*^9}, {
3.854727342205227*^9, 3.8547273776282473`*^9}, {3.85472742009232*^9,
3.854727420441288*^9}, {3.8547275089951982`*^9, 3.854727509552932*^9}, {
3.8547275931600018`*^9, 3.854727598545957*^9}, {3.854727711569309*^9,
3.854727729417101*^9}, {3.854727874733362*^9, 3.8547279148081017`*^9}, {
3.854728913274642*^9, 3.854728913467147*^9}, 3.854728964612626*^9, {
3.854729414593214*^9, 3.854729474481645*^9}, {3.854803988414846*^9,
3.854804022046221*^9}, {3.854804261216023*^9, 3.854804261391405*^9}, {
3.854804522374218*^9, 3.8548045229335823`*^9}, {3.854804575750947*^9,
3.8548045760141363`*^9}, {3.854804652852908*^9, 3.854804653843769*^9}, {
3.854804777320953*^9, 3.854804777497737*^9}, {3.85480673943437*^9,
3.854806742224348*^9}, {3.85480691746152*^9, 3.8548069319876213`*^9}, {
3.854807166306096*^9, 3.854807168655656*^9}, {3.854807292024166*^9,
3.8548072972698936`*^9}, {3.854807601749075*^9, 3.8548076094666843`*^9}, {
3.854809648388177*^9, 3.854809660084676*^9}, 3.854809714780335*^9, {
3.8548097470112047`*^9, 3.8548097471462793`*^9}, {3.854809917457869*^9,
3.854809917712688*^9}, {3.854831571662445*^9, 3.854831628158267*^9}, {
3.854831845841937*^9, 3.854831896515194*^9}, {3.8548319609946833`*^9,
3.854832001647698*^9}, {3.854832058240713*^9, 3.854832061391885*^9}, {
3.854832109174555*^9, 3.854832146422454*^9}, {3.854832219613805*^9,
3.854832219845811*^9}, {3.854833146293807*^9, 3.8548332284361067`*^9}, {
3.8550055392778673`*^9, 3.855005555332725*^9}, {3.855005604860703*^9,
3.8550056951876297`*^9}, {3.8550057778432837`*^9,
3.8550058407621927`*^9}, {3.855006008562463*^9, 3.855006037183709*^9}, {
3.8550060687443857`*^9, 3.8550060733772783`*^9}, {3.855006125395146*^9,
3.855006152991062*^9}, {3.855006375996544*^9, 3.855006378948254*^9}, {
3.855006453335641*^9, 3.855006453645705*^9}, {3.855006532677004*^9,
3.855006589931612*^9}, {3.8550066491304827`*^9, 3.8550066536178913`*^9},
3.855007020400098*^9, {3.855007119955744*^9, 3.855007126813039*^9}, {
3.855007177854444*^9, 3.8550071780844088`*^9}, {3.855007217580364*^9,
3.855007315019431*^9}, {3.855007356535795*^9, 3.8550073621707973`*^9}, {
3.855007470838356*^9, 3.855007595184825*^9}, 3.8550080628463907`*^9, {
3.855008267611968*^9, 3.8550082972761583`*^9}, {3.855008427345882*^9,
3.85500843242249*^9}, {3.855009222895382*^9, 3.855009238361269*^9}, {
3.855009524768462*^9, 3.855009524872431*^9}, {3.855009681335391*^9,
3.8550096818688097`*^9}, {3.855009721573735*^9, 3.855009746708899*^9}, {
3.8550098034539337`*^9, 3.85500982769139*^9}, {3.855009891029913*^9,
3.855009961698062*^9}, 3.855010280410454*^9, {3.855010373598496*^9,
3.855010375141943*^9}, {3.85501046280546*^9, 3.855010462870451*^9}, {
3.855010508741047*^9, 3.8550105099567823`*^9}, {3.855010544020673*^9,
3.855010544140051*^9}, {3.8550106184693823`*^9, 3.855010618562858*^9}, {
3.855010720684723*^9, 3.855010720898234*^9}, {3.8550107621945477`*^9,
3.855010762260655*^9}, {3.855013124554758*^9, 3.855013157891918*^9}, {
3.8550515019765787`*^9, 3.855051502240869*^9}, 3.855052794047555*^9,
3.85505314212113*^9, 3.855053737046595*^9, 3.855053794222085*^9,
3.8550542066976023`*^9},
CellLabel->
"In[1254]:=",ExpressionUUID->"26f73fc6-fd0f-442c-9316-2b8884e751bc"],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{"s", "=",
RowBox[{"Import", "[",
RowBox[{
"\"\<~/repos/single_site_addressability/final_notebooks/z11.csv\>\"",
",", "\"\<String\>\""}], "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{"data11", "=",
RowBox[{"ImportString", "[",
RowBox[{
RowBox[{"StringReplace", "[",
RowBox[{"s", ",",
RowBox[{"\"\< \>\"", "\[Rule]", "\"\<\>\""}]}], "]"}], ",",
"\"\<Data\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{"DiscretePlot", "[",
RowBox[{
RowBox[{"sim", "[",
RowBox[{
RowBox[{"data11", "[",
RowBox[{"[", "32", "]"}], "]"}], ",", " ", "sc", ",", " ", "1"}], "]"}],
",", " ",
RowBox[{"{",
RowBox[{"sc", ",", " ", "0", " ", ",", "1", ",", " ", ".01"}], "}"}], ",",
" ",
RowBox[{"PlotLabel", "\[Rule]", "\"\<Precompensation Z11\>\""}], ",", " ",
RowBox[{"AxesLabel", "\[Rule]",
RowBox[{"{",
RowBox[{"\"\<\[Pi]/(UA)\>\"", ",", " ", "\"\<<\[Sigma]x>\>\""}],
"}"}]}]}], "]"}]}], "Input",
CellChangeTimes->{
3.855005569526375*^9, {3.8550076078056803`*^9, 3.855007607930423*^9}, {
3.855015109819059*^9, 3.8550151291556683`*^9}, {3.8550514240290527`*^9,
3.855051477580069*^9}, {3.855051513077976*^9, 3.85505154139746*^9}, {
3.855051812338017*^9, 3.855051812448888*^9}, {3.855052688761673*^9,
3.855052692448311*^9}, {3.8550527970170317`*^9, 3.855052824178547*^9},
3.855053145025724*^9, 3.855054177971575*^9},
CellLabel->
"In[1242]:=",ExpressionUUID->"d6261b7f-ed67-4281-a4d7-5603231a13e5"],
Cell[BoxData[
GraphicsBox[{{
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.004766666666666667],
AbsoluteThickness[1.6],
TagBox[{
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.004766666666666667], AbsoluteThickness[1.6], Opacity[0.2],
LineBox[{{{0.51, -0.015971789785245882`}, {0.51, 0}}, {{
0.53, -0.025789390057036066`}, {0.53, 0}}, {{
0.55, -0.02448105614612084}, {0.55, 0}}, {{
0.56, -0.13642688562224248`}, {0.56, 0}}, {{
0.5700000000000001, -0.03169043813321576}, {
0.5700000000000001, 0}}, {{0.58, -0.24622484975550596`}, {
0.58, 0}}, {{0.59, -0.0637071600525348}, {0.59, 0}}, {{
0.6, -0.3090201203135302}, {0.6, 0}}, {{
0.61, -0.13338649082376752`}, {0.61, 0}}, {{
0.62, -0.33141529363488986`}, {0.62, 0}}, {{
0.63, -0.2431241189214594}, {0.63, 0}}, {{
0.64, -0.33289197403071524`}, {0.64, 0}}, {{
0.65, -0.37380925967390044`}, {0.65, 0}}, {{
0.66, -0.3335844281161463}, {0.66, 0}}, {{
0.67, -0.4900257386701684}, {0.67, 0}}, {{
0.68, -0.35026383714460524`}, {0.68, 0}}, {{
0.6900000000000001, -0.566032166438301}, {
0.6900000000000001, 0}}, {{
0.7000000000000001, -0.3964012000311905}, {
0.7000000000000001, 0}}, {{0.71, -0.6006324089059933}, {
0.71, 0}}, {{0.72, -0.4786116811672572}, {0.72, 0}}, {{
0.73, -0.6084544900933782}, {0.73, 0}}, {{
0.74, -0.5868686824353085}, {0.74, 0}}, {{
0.75, -0.6074153695458442}, {0.75, 0}}, {{
0.76, -0.69266181762909}, {0.76, 0}}, {{
0.77, -0.613128801696841}, {0.77, 0}}, {{
0.78, -0.76888956850671}, {0.78, 0}}, {{
0.79, -0.6381320879404395}, {0.79, 0}}, {{
0.8, -0.8090193692314703}, {0.8, 0}}, {{
0.81, -0.6904454061577958}, {0.81, 0}}, {{
0.8200000000000001, -0.822687580582008}, {
0.8200000000000001, 0}}, {{
0.8300000000000001, -0.7668408942797714}, {
0.8300000000000001, 0}}, {{0.84, -0.8235765894031306}, {
0.84, 0}}, {{0.85, -0.8475925307044382}, {0.85, 0}}, {{
0.86, -0.8239929413854853}, {0.86, 0}}, {{
0.87, -0.9088164998054374}, {0.87, 0}}, {{
0.88, -0.8339194866313814}, {0.88, 0}}, {{
0.89, -0.9424900451982147}, {0.89, 0}}, {{
0.9, -0.860328024546954}, {0.9, 0}}, {{
0.91, -0.9558710885839994}, {0.91, 0}}, {{
0.92, -0.9032963529133944}, {0.92, 0}}, {{
0.93, -0.9587098756980481}, {0.93, 0}}, {{
0.9400000000000001, -0.9507060293568073}, {
0.9400000000000001, 0}}, {{
0.9500000000000001, -0.9583368695677724}, {
0.9500000000000001, 0}}, {{0.96, -0.9843226097096177}, {
0.96, 0}}, {{0.97, -0.9603720195371669}, {0.97, 0}}, {{
0.98, -0.9978636203331598}, {0.98, 0}}, {{
0.99, -0.9688114160801666}, {0.99, 0}}, {{
1., -0.9999996856291405}, {1., 0}}},
VertexColors->None]},
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.004766666666666667], AbsoluteThickness[1.6], Opacity[0.2],
LineBox[{{{0., 0.9999999999999998}, {0., 0}}, {{0.01,
0.9837760778908982}, {0.01, 0}}, {{0.02, 0.9997205612856085}, {
0.02, 0}}, {{0.03, 0.9976494640310881}, {0.03, 0}}, {{0.04,
0.9996822876516194}, {0.04, 0}}, {{0.05, 0.9976237429915026}, {
0.05, 0}}, {{0.06, 0.9996634284809218}, {0.06, 0}}, {{0.07,
0.9804703896416161}, {0.07, 0}}, {{0.08, 0.9990455997868445}, {
0.08, 0}}, {{0.09, 0.9589493022214793}, {0.09, 0}}, {{0.1,
0.9956383574352398}, {0.1, 0}}, {{0.11, 0.9460001498124802}, {
0.11, 0}}, {{0.12, 0.9829525371151546}, {0.12, 0}}, {{0.13,
0.9427713936376925}, {0.13, 0}}, {{0.14, 0.9514066083488186}, {
0.14, 0}}, {{0.15, 0.9432069604467614}, {0.15, 0}}, {{0.16,
0.9000068239481923}, {0.16, 0}}, {{0.17, 0.9407865031248124}, {
0.17, 0}}, {{0.18, 0.8456893899856673}, {0.18, 0}}, {{0.19,
0.9294386089564837}, {0.19, 0}}, {{0.2, 0.8090160942361249}, {
0.2, 0}}, {{0.21, 0.9013400625846313}, {0.21, 0}}, {{0.22,
0.7948956706886703}, {0.22, 0}}, {{0.23, 0.847391682058493}, {
0.23, 0}}, {{0.24, 0.7939448030462961}, {0.24, 0}}, {{0.25,
0.7665979868643285}, {0.25, 0}}, {{0.26, 0.7934980487653001}, {
0.26, 0}}, {{0.27, 0.6776186260249003}, {0.27, 0}}, {{0.28,
0.7825717539974831}, {0.28, 0}}, {{0.29, 0.6091228336132917}, {
0.29, 0}}, {{0.3, 0.7506499774225323}, {0.3, 0}}, {{0.31,
0.5747895571169329}, {0.31, 0}}, {{0.32, 0.6871552054619696}, {
0.32, 0}}, {{0.33, 0.566726489408295}, {0.33, 0}}, {{0.34,
0.5887024812679871}, {0.34, 0}}, {{0.35000000000000003`,
0.5678042448335954}, {0.35000000000000003`, 0}}, {{0.36,
0.47191870527987856`}, {0.36, 0}}, {{0.37, 0.5618526794692034}, {
0.37, 0}}, {{0.38, 0.37048972784043765`}, {0.38, 0}}, {{0.39,
0.5350518529907825}, {0.39, 0}}, {{0.4, 0.3090147233379374}, {
0.4, 0}}, {{0.41000000000000003`, 0.47462172575931755`}, {
0.41000000000000003`, 0}}, {{0.42, 0.2864468124485596}, {
0.42, 0}}, {{0.43, 0.3734582287079167}, {0.43, 0}}, {{0.44,
0.28494653280057125`}, {0.44, 0}}, {{0.45, 0.24275693418055017`}, {
0.45, 0}}, {{0.46, 0.2842424362980446}, {0.46, 0}}, {{
0.47000000000000003`, 0.11593885133986664`}, {
0.47000000000000003`, 0}}, {{0.48, 0.26718116982242973`}, {
0.48, 0}}, {{0.49, 0.026631497706052887`}, {0.49, 0}}, {{0.5,
0.21893793257276561`}, {0.5, 0}}, {{0.52, 0.12888702876432379`}, {
0.52, 0}}, {{0.54, 0.0011333651327586347`}, {0.54, 0}}},
VertexColors->None]}},
Annotation[#, "Charting`Private`Tag$1577970#1"]& ]},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.004766666666666667],
AbsoluteThickness[1.6], {}, PointBox[CompressedData["
1:eJw1lQtQVGUYhldALBLNCxnERTEcECWUypwp3poREpkkUAQMGTCQNBsQLzkg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"]], {}},
Annotation[#, "Charting`Private`Tag$1577970#1"]& ]}, {}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->True,
AxesLabel->{
FormBox["\"\[Pi]/(UA)\"", TraditionalForm],
FormBox["\"<\[Sigma]x>\"", TraditionalForm]},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->{805.4545454545452, Automatic},
Method->{
"MessagesHead" -> DiscretePlot, "AxisPadding" -> Scaled[0.02],
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "DefaultPlotStyle" -> {
Directive[
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.880722, 0.611041, 0.142051],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.560181, 0.691569, 0.194885],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.922526, 0.385626, 0.209179],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.528488, 0.470624, 0.701351],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.772079, 0.431554, 0.102387],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.363898, 0.618501, 0.782349],
AbsoluteThickness[1.6]],
Directive[
RGBColor[1, 0.75, 0],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.647624, 0.37816, 0.614037],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.571589, 0.586483, 0.],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.915, 0.3325, 0.2125],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.736782672705901, 0.358, 0.5030266573755369],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965],
AbsoluteThickness[1.6]]}, "DomainPadding" -> Scaled[0.02],
"PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05]},
PlotLabel->FormBox["\"Precompensation Z11\"", TraditionalForm],
PlotRange->{{0., 1.}, {-0.9999996856291405, 0.9999999999999998}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{
3.854726911874076*^9, 3.8547269570734653`*^9, 3.854727013090458*^9, {
3.8547270665242767`*^9, 3.854727073386166*^9}, 3.854727137607307*^9,
3.854727177206256*^9, 3.854727311546686*^9, 3.854727389677231*^9,
3.854727474372738*^9, {3.854727726569528*^9, 3.8547277321408463`*^9},
3.854727886052175*^9, 3.854728916832048*^9, {3.8548039846054487`*^9,
3.854804007629418*^9}, {3.8548315668890543`*^9, 3.854831607607448*^9},
3.854831902585539*^9, {3.854831964868677*^9, 3.8548319898401327`*^9},
3.854832223910121*^9, 3.8548324873926697`*^9, {3.8548331969200697`*^9,
3.8548332301254587`*^9}, {3.8550055585567102`*^9, 3.855005584360783*^9},
3.855005855235903*^9, {3.85500601614611*^9, 3.855006044280707*^9},
3.855006081977311*^9, {3.855006131320994*^9, 3.855006159493642*^9},
3.855006384316518*^9, 3.855006459936242*^9, {3.855006564917366*^9,
3.8550065837775717`*^9}, 3.855006624708355*^9, 3.855006695423843*^9, {
3.855007235662623*^9, 3.855007322239468*^9}, 3.85500752690797*^9,
3.8550076172711477`*^9, 3.855008065609187*^9, 3.8550083028301477`*^9,
3.855009690247692*^9, 3.855009756479169*^9, {3.855009806303939*^9,
3.855009830813384*^9}, {3.8550098946951714`*^9, 3.855009969195504*^9},
3.855010545876656*^9, 3.855010764773436*^9, {3.855013144413864*^9,
3.855013162967053*^9}, {3.8550151116657*^9, 3.855015130321623*^9}, {
3.855051478255795*^9, 3.855051546517335*^9}, 3.855051813763671*^9, {
3.8550526899212093`*^9, 3.85505270073403*^9}, 3.8550528049736767`*^9,
3.855052911819809*^9, {3.855053149074127*^9, 3.855053156098133*^9},
3.8550541820944967`*^9},
CellLabel->
"Out[1244]=",ExpressionUUID->"8e6e973f-d2b5-4d63-968a-17e357f74365"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"(*", "Theory", "*)"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[Omega]", " ", "=", " ",
RowBox[{"2", "*", "\[Pi]", "*", "180"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"U", " ", "=", " ",
RowBox[{"2", "\[Pi]", "*", "1"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"a", " ", "=", " ", ".1"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"t", " ", "=", " ",
RowBox[{
RowBox[{"(",
RowBox[{"\[Pi]", "/",
RowBox[{"(",
RowBox[{"a", "*", "U", "*", "2"}], ")"}]}], ")"}], "*", "sc"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[CapitalTheta]", " ", "=", " ",
RowBox[{"a", "*", "2", "*", "U", "*", "t"}]}], ";"}],
"\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Phi]", "=", "\[Pi]"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"correction", " ", "=", " ",
RowBox[{"Sum", "[",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"4", "*", "U", "*",
RowBox[{"BesselJ", "[",
RowBox[{"n", ",", " ",
RowBox[{"inverseb", "[", "a", "]"}]}], "]"}], "*",
RowBox[{"Sin", "[",
RowBox[{
RowBox[{"1", "/", "2"}], "*",
RowBox[{"(",
RowBox[{"n", "+", "1"}], ")"}], "*", "t", "*", "\[Omega]"}],
"]"}], "*",
RowBox[{"Cos", "[",
RowBox[{
RowBox[{"n", "*", "\[Phi]"}], " ", "+", " ",
RowBox[{
RowBox[{"1", "/", "2"}], "*",
RowBox[{"(",
RowBox[{"\[Pi]", "-",
RowBox[{"2", "*", "t", "*", "\[Omega]"}]}], ")"}]}], "-",
RowBox[{"\[Pi]", "/", "2"}]}], "]"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"n", "+", "1"}], ")"}], "*", "\[Omega]"}], ")"}]}], ",",
" ",
RowBox[{"{",
RowBox[{"n", ",", "0", ",", " ", "100"}], "}"}]}], "]"}]}], ";"}],
"\[IndentingNewLine]",
RowBox[{
RowBox[{"correction", " ", "+=",
RowBox[{"Sum", "[",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"4", "*", "U", "*",
RowBox[{"BesselJ", "[",
RowBox[{"n", ",", " ",
RowBox[{"inverseb", "[", "a", "]"}]}], "]"}], "*",
RowBox[{"Sin", "[",
RowBox[{
RowBox[{"1", "/", "2"}], "*",
RowBox[{"(",
RowBox[{"n", "+", "1"}], ")"}], "*", "t", "*", "\[Omega]"}],
"]"}], "*",
RowBox[{"Cos", "[",
RowBox[{
RowBox[{"n", "*", "\[Phi]"}], " ", "+", " ",
RowBox[{
RowBox[{"1", "/", "2"}], "*",
RowBox[{"(",
RowBox[{"\[Pi]", "-",
RowBox[{"2", "*", "t", "*", "\[Omega]"}]}], ")"}]}], "-",
RowBox[{"\[Pi]", "/", "2"}]}], "]"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"n", "+", "1"}], ")"}], "*", "\[Omega]"}], ")"}]}], ",",
" ",
RowBox[{"{",
RowBox[{"n", ",",
RowBox[{"-", "100"}], ",", " ",
RowBox[{"-", "2"}]}], "}"}]}], "]"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{"DiscretePlot", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"Cos", "[", "\[CapitalTheta]", "]"}], "-",
RowBox[{
RowBox[{"Sin", "[", "\[CapitalTheta]", "]"}], "*", "correction"}]}],
",",
RowBox[{"sim", "[",
RowBox[{
RowBox[{"data11", "[",
RowBox[{"[", "32", "]"}], "]"}], ",", " ", "sc", ",", " ", "1"}],
"]"}]}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{"sc", ",", " ", "0", ",", " ", "1", ",", " ", ".01"}], "}"}],
",", " ",
RowBox[{"AxesLabel", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"Style", "[",
RowBox[{"\"\<\[Pi]/(UA)\>\"", ",", " ",
RowBox[{"FontSize", "\[Rule]", "24"}]}], "]"}], ",", " ",
RowBox[{"Style", "[",
RowBox[{"\"\<<\[Sigma]x>\>\"", ",", " ",
RowBox[{"FontSize", "\[Rule]", "24"}]}], "]"}]}], "}"}]}], ",", " ",
RowBox[{"PlotLegends", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"Style", "[",
RowBox[{"\"\<Theory\>\"", ",", " ", "24"}], "]"}], ",", " ",
RowBox[{"Style", "[",
RowBox[{"\"\<Numerics\>\"", ",", " ", "24"}], "]"}]}], "}"}]}], ",",
" ",
RowBox[{"BaseStyle", "\[Rule]",
RowBox[{"{",
RowBox[{"FontSize", "\[Rule]", "24"}], "}"}]}]}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.855051891584139*^9, 3.8550519130553493`*^9}, {
3.8550519538231*^9, 3.855052107341427*^9}, {3.85505216053889*^9,
3.855052501687931*^9}, {3.855052629958838*^9, 3.8550526814500933`*^9}, {
3.8550527300986567`*^9, 3.855052739113133*^9}, {3.8550527865055237`*^9,
3.855052813777053*^9}, {3.855052921775978*^9, 3.855052925318337*^9}, {
3.855053021888558*^9, 3.855053049221752*^9}, {3.855053120647045*^9,
3.8550531608680773`*^9}, {3.8550532124051113`*^9, 3.855053226067225*^9}, {
3.855053259421039*^9, 3.8550532807883244`*^9}, {3.855053312500309*^9,
3.855053467553856*^9}, {3.8550535135228853`*^9, 3.855053541849743*^9}, {
3.85505358851204*^9, 3.855053609904069*^9}, {3.8550536429228687`*^9,
3.8550536900399237`*^9}, 3.8550537209615393`*^9, {3.855053778440049*^9,
3.855053790842236*^9}, {3.855054185789241*^9, 3.855054203401593*^9},
3.855054445069353*^9},
CellLabel->
"In[1256]:=",ExpressionUUID->"d9da8ba9-4286-4880-8887-c7b57daa8e4b"],
Cell[BoxData[
TemplateBox[{
GraphicsBox[{{{{
Directive[
PointSize[0.004766666666666667],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]],
TagBox[{{{
Directive[
Opacity[0.2],
PointSize[0.004766666666666667],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]],
LineBox[{{{0.5, -8.643659443749371*^-16}, {0.5, 0}}, {{
0.51, -0.053472738186311396`}, {0.51, 0}}, {{
0.52, -0.06279051952931299}, {0.52, 0}}, {{
0.53, -0.07213340276271185}, {0.53, 0}}, {{
0.54, -0.12533323356430448`}, {0.54, 0}}, {{
0.55, -0.17823558211107102`}, {0.55, 0}}, {{
0.56, -0.18738131458572507`}, {0.56, 0}}, {{
0.5700000000000001, -0.19660195685976073`}, {
0.5700000000000001, 0}}, {{0.58, -0.24868988716485665`}, {
0.58, 0}}, {{0.59, -0.30018754443316303`}, {0.59, 0}}, {{
0.6, -0.30901699437494606`}, {0.6, 0}}, {{
0.61, -0.3179699806528151}, {0.61, 0}}, {{
0.62, -0.36812455268467914`}, {0.62, 0}}, {{
0.63, -0.4174053698561971}, {0.63, 0}}, {{
0.64, -0.4257792915650721}, {0.64, 0}}, {{
0.65, -0.43432342790491496`}, {0.65, 0}}, {{
0.66, -0.4817536741017158}, {0.66, 0}}, {{
0.67, -0.5280404632507175}, {0.67, 0}}, {{
0.68, -0.5358267949789969}, {0.68, 0}}, {{
0.6900000000000001, -0.5438273352467149}, {
0.6900000000000001, 0}}, {{
0.7000000000000001, -0.5877852522924727}, {
0.7000000000000001, 0}}, {{0.71, -0.6303480431036909}, {
0.71, 0}}, {{0.72, -0.6374239897486885}, {0.72, 0}}, {{
0.73, -0.6447547606449708}, {0.73, 0}}, {{
0.74, -0.6845471059286898}, {0.74, 0}}, {{
0.75, -0.7227146577652502}, {0.75, 0}}, {{
0.76, -0.7289686274214107}, {0.76, 0}}, {{
0.77, -0.7355140183100306}, {0.77, 0}}, {{
0.78, -0.7705132427757896}, {0.78, 0}}, {{
0.79, -0.8036836305450419}, {0.79, 0}}, {{
0.8, -0.8090169943749471}, {0.8, 0}}, {{
0.81, -0.8146737805315641}, {0.81, 0}}, {{
0.8200000000000001, -0.8443279255020151}, {
0.8200000000000001, 0}}, {{
0.8300000000000001, -0.8719780323738086}, {
0.8300000000000001, 0}}, {{0.84, -0.8763066800438614}, {
0.84, 0}}, {{0.85, -0.8809856505715878}, {0.85, 0}}, {{
0.86, -0.9048270524660214}, {0.86, 0}}, {{
0.87, -0.9265208197376125}, {0.87, 0}}, {{
0.88, -0.9297764858882517}, {0.88, 0}}, {{
0.89, -0.9334038506267796}, {0.89, 0}}, {{
0.9, -0.951056516295153}, {0.9, 0}}, {{
0.91, -0.9664518202974444}, {0.91, 0}}, {{
0.92, -0.9685831611286315}, {0.92, 0}}, {{
0.93, -0.9711017143691538}, {0.93, 0}}, {{
0.9400000000000001, -0.9822872507286883}, {
0.9400000000000001, 0}}, {{
0.9500000000000001, -0.9911412983208524}, {
0.9500000000000001, 0}}, {{0.96, -0.9921147013144775}, {
0.96, 0}}, {{0.97, -0.9934847239678813}, {0.97, 0}}, {{
0.98, -0.9980267284282717}, {0.98, 0}}, {{
0.99, -1.0001998859906283`}, {0.99, 0}}, {{1., -1.}, {1., 0}}},
VertexColors -> None]}, {
Directive[
Opacity[0.2],
PointSize[0.004766666666666667],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]],
LineBox[{{{0., 1.}, {0., 0}}, {{0.01, 1.0001998859906283`}, {
0.01, 0}}, {{0.02, 0.9980267284282716}, {0.02, 0}}, {{0.03,
0.9934847239678812}, {0.03, 0}}, {{0.04, 0.9921147013144779}, {
0.04, 0}}, {{0.05, 0.9911412983208524}, {0.05, 0}}, {{0.06,
0.9822872507286887}, {0.06, 0}}, {{0.07, 0.9711017143691538}, {
0.07, 0}}, {{0.08, 0.9685831611286311}, {0.08, 0}}, {{0.09,
0.9664518202974444}, {0.09, 0}}, {{0.1, 0.9510565162951535}, {
0.1, 0}}, {{0.11, 0.9334038506267796}, {0.11, 0}}, {{0.12,
0.9297764858882516}, {0.12, 0}}, {{0.13, 0.9265208197376124}, {
0.13, 0}}, {{0.14, 0.9048270524660195}, {0.14, 0}}, {{0.15,
0.880985650571588}, {0.15, 0}}, {{0.16, 0.8763066800438637}, {
0.16, 0}}, {{0.17, 0.8719780323738086}, {0.17, 0}}, {{0.18,
0.8443279255020149}, {0.18, 0}}, {{0.19, 0.8146737805315641}, {
0.19, 0}}, {{0.2, 0.8090169943749475}, {0.2, 0}}, {{0.21,
0.803683630545042}, {0.21, 0}}, {{0.22, 0.7705132427757895}, {
0.22, 0}}, {{0.23, 0.7355140183100307}, {0.23, 0}}, {{0.24,
0.7289686274214119}, {0.24, 0}}, {{0.25, 0.7227146577652505}, {
0.25, 0}}, {{0.26, 0.6845471059286884}, {0.26, 0}}, {{0.27,
0.6447547606449706}, {0.27, 0}}, {{0.28, 0.6374239897486895}, {
0.28, 0}}, {{0.29, 0.630348043103691}, {0.29, 0}}, {{0.3,
0.5877852522924725}, {0.3, 0}}, {{0.31, 0.5438273352467147}, {
0.31, 0}}, {{0.32, 0.5358267949789969}, {0.32, 0}}, {{0.33,
0.5280404632507173}, {0.33, 0}}, {{0.34,
0.48175367410171516`}, {0.34, 0}}, {{0.35000000000000003`,
0.43432342790491507`}, {0.35000000000000003`, 0}}, {{0.36,
0.4257792915650734}, {0.36, 0}}, {{0.37, 0.4174053698561971}, {
0.37, 0}}, {{0.38, 0.36812455268467753`}, {0.38, 0}}, {{0.39,
0.3179699806528151}, {0.39, 0}}, {{0.4, 0.3090169943749476}, {
0.4, 0}}, {{0.41000000000000003`, 0.300187544433163}, {
0.41000000000000003`, 0}}, {{0.42, 0.2486898871648525}, {
0.42, 0}}, {{0.43, 0.1966019568597607}, {0.43, 0}}, {{0.44,
0.18738131458572424`}, {0.44, 0}}, {{0.45,
0.178235582111071}, {0.45, 0}}, {{0.46,
0.12533323356430529`}, {0.46, 0}}, {{0.47000000000000003`,
0.07213340276271184}, {0.47000000000000003`, 0}}, {{0.48,
0.06279051952931461}, {0.48, 0}}, {{0.49,
0.05347273818631135}, {0.49, 0}}}, VertexColors -> None]}}},
Annotation[#, "Charting`Private`Tag$1626410#1"]& ]}, {
Directive[
PointSize[0.004766666666666667],
RGBColor[0.880722, 0.611041, 0.142051],
AbsoluteThickness[1.6]],
TagBox[{{{
Directive[
Opacity[0.2],
PointSize[0.004766666666666667],
RGBColor[0.880722, 0.611041, 0.142051],
AbsoluteThickness[1.6]],
LineBox[{{{0.5, -0.00001233491731605918}, {0.5, 0}}, {{
0.51, -0.009355953513161819}, {0.51, 0}}, {{
0.52, -0.06280360366986587}, {0.52, 0}}, {{
0.53, -0.07212537313486733}, {0.53, 0}}, {{
0.54, -0.1253467671724645}, {0.54, 0}}, {{
0.55, -0.1346108030546158}, {0.55, 0}}, {{
0.56, -0.1873953683218817}, {0.56, 0}}, {{
0.5700000000000001, -0.19656429535309045`}, {
0.5700000000000001, 0}}, {{0.58, -0.24870419637671104`}, {
0.58, 0}}, {{0.59, -0.2577430279866538}, {0.59, 0}}, {{
0.6, -0.3090311409349148}, {0.6, 0}}, {{
0.61, -0.3179039020608507}, {0.61, 0}}, {{
0.62, -0.3681393805371069}, {0.62, 0}}, {{
0.63, -0.37680966432600127`}, {0.63, 0}}, {{
0.64, -0.4257941879980769}, {0.64, 0}}, {{
0.65, -0.4342294954361025}, {0.65, 0}}, {{
0.66, -0.48176794328839706`}, {0.66, 0}}, {{
0.67, -0.4899349255597919}, {0.67, 0}}, {{
0.68, -0.5358416151868244}, {0.68, 0}}, {{
0.6900000000000001, -0.5437062320126145}, {
0.6900000000000001, 0}}, {{
0.7000000000000001, -0.5878000135335371}, {
0.7000000000000001, 0}}, {{0.71, -0.5953328489443155}, {
0.71, 0}}, {{0.72, -0.6374378599548943}, {0.72, 0}}, {{
0.73, -0.6446095526505584}, {0.73, 0}}, {{
0.74, -0.6845610741663315}, {0.74, 0}}, {{
0.75, -0.6913413634286869}, {0.75, 0}}, {{
0.76, -0.7289822869326555}, {0.76, 0}}, {{
0.77, -0.7353459837280325}, {0.77, 0}}, {{
0.78, -0.7705259822078833}, {0.78, 0}}, {{
0.79, -0.7764480436219774}, {0.79, 0}}, {{
0.8, -0.8090292295832611}, {0.8, 0}}, {{
0.81, -0.8144854352342505}, {0.81, 0}}, {{
0.8200000000000001, -0.8443394201288776}, {
0.8200000000000001, 0}}, {{
0.8300000000000001, -0.8493087417384756}, {
0.8300000000000001, 0}}, {{0.84, -0.8763173883764594}, {
0.84, 0}}, {{0.85, -0.8807798190555032}, {0.85, 0}}, {{
0.86, -0.9048367785978313}, {0.86, 0}}, {{
0.87, -0.9087752771992814}, {0.87, 0}}, {{
0.88, -0.9297850171199146}, {0.88, 0}}, {{
0.89, -0.9331838535770536}, {0.89, 0}}, {{
0.9, -0.9510640980655591}, {0.9, 0}}, {{
0.91, -0.953909374226414}, {0.91, 0}}, {{
0.92, -0.9685895003170827}, {0.92, 0}}, {{
0.93, -0.9708705773722478}, {0.93, 0}}, {{
0.9400000000000001, -0.9822921587311645}, {
0.9400000000000001, 0}}, {{
0.9500000000000001, -0.9839999153355707}, {
0.9500000000000001, 0}}, {{0.96, -0.9921183302361481}, {
0.96, 0}}, {{0.97, -0.9932457505073469}, {0.97, 0}}, {{
0.98, -0.9980288824099234}, {0.98, 0}}, {{
0.99, -0.9985717538506308}, {0.99, 0}}, {{
1., -1.0000006224942408`}, {1., 0}}}, VertexColors -> None]}, {
Directive[
Opacity[0.2],
PointSize[0.004766666666666667],
RGBColor[0.880722, 0.611041, 0.142051],
AbsoluteThickness[1.6]],
LineBox[{{{0., 0.9999999999999998}, {0., 0}}, {{0.01,
0.9999563783064948}, {0.01, 0}}, {{0.02, 0.9980266940262669}, {
0.02, 0}}, {{0.03, 0.9973964698771111}, {0.03, 0}}, {{0.04,
0.9921146446334873}, {0.04, 0}}, {{0.05, 0.990900267491747}, {
0.05, 0}}, {{0.06, 0.9822869648888837}, {0.06, 0}}, {{0.07,
0.9804935039266394}, {0.07, 0}}, {{0.08, 0.9685826595476779}, {
0.08, 0}}, {{0.09, 0.9662168261644782}, {0.09, 0}}, {{0.1,
0.9510559899153742}, {0.1, 0}}, {{0.11, 0.9481270265145975}, {
0.11, 0}}, {{0.12, 0.929775383456198}, {0.12, 0}}, {{0.13,
0.9262956274671083}, {0.13, 0}}, {{0.14, 0.9048254904583493}, {
0.14, 0}}, {{0.15, 0.9008079604027985}, {0.15, 0}}, {{0.16,
0.8763050895027805}, {0.16, 0}}, {{0.17, 0.8717653112436973}, {
0.17, 0}}, {{0.18, 0.8443255418810113}, {0.18, 0}}, {{0.19,
0.8392828169132638}, {0.19, 0}}, {{0.2, 0.8090139376467927}, {
0.2, 0}}, {{0.21, 0.8034870033467448}, {0.21, 0}}, {{0.22,
0.7705099938412776}, {0.22, 0}}, {{0.23, 0.7645204636755383}, {
0.23, 0}}, {{0.24, 0.7289646021662604}, {0.24, 0}}, {{0.25,
0.7225370720145795}, {0.25, 0}}, {{0.26, 0.684542446501161}, {
0.26, 0}}, {{0.27, 0.6777016341016154}, {0.27, 0}}, {{0.28,
0.6374185628603861}, {0.28, 0}}, {{0.29, 0.6301921056654287}, {
0.29, 0}}, {{0.3, 0.5877791892864117}, {0.3, 0}}, {{0.31,
0.5801946480965181}, {0.31, 0}}, {{0.32, 0.5358204048248375}, {
0.32, 0}}, {{0.33, 0.5279079145741182}, {0.33, 0}}, {{0.34,
0.48174611345614177`}, {0.34, 0}}, {{0.35000000000000003`,
0.4735382323673142}, {0.35000000000000003`, 0}}, {{0.36,
0.425771036446778}, {0.36, 0}}, {{0.37, 0.4172984716834306}, {
0.37, 0}}, {{0.38, 0.3681162795610634}, {0.38, 0}}, {{0.39,
0.35941246962177387`}, {0.39, 0}}, {{0.4,
0.3090073398698228}, {0.4, 0}}, {{0.41000000000000003`,
0.3001086561577901}, {0.41000000000000003`, 0}}, {{0.42,
0.2486794052954563}, {0.42, 0}}, {{0.43,
0.23961914255758676`}, {0.43, 0}}, {{0.44,
0.18737098998689083`}, {0.44, 0}}, {{0.45,
0.1781843491626805}, {0.45, 0}}, {{0.46,
0.12532168281005512`}, {0.46, 0}}, {{0.47000000000000003`,
0.11604754507685033`}, {0.47000000000000003`, 0}}, {{0.48,
0.06277814939575083}, {0.48, 0}}, {{0.49,
0.05345097263478604}, {0.49, 0}}}, VertexColors -> None]}}},
Annotation[#, "Charting`Private`Tag$1626410#2"]& ]}}, {
TagBox[{{
Directive[
PointSize[0.004766666666666667],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]], {{}, Null,
PointBox[CompressedData["
1:eJxVlXtMU2cYxrvVRe1cYwMmGoHpJonTqTEm+o/z2cKYJEtcFNylFK9UNG4o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"]], {}}}},
Annotation[#, "Charting`Private`Tag$1626410#1"]& ],
TagBox[{{
Directive[
PointSize[0.004766666666666667],
RGBColor[0.880722, 0.611041, 0.142051],
AbsoluteThickness[1.6]], {{}, Null,
PointBox[CompressedData["
1:eJw9kgtMU2cYhpnpzFYZKEMnGNTFqAWv0VmiC7yobOqCImDQTYhOgjAlgNMh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"]], {}}}},
Annotation[#, "Charting`Private`Tag$1626410#2"]& ]}}, {}, {}}, {
DisplayFunction -> Identity, AspectRatio ->
NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> True, AxesLabel -> {
FormBox[
StyleBox["\"\[Pi]/(UA)\"", FontSize -> 24, StripOnInput -> False],
TraditionalForm],
FormBox[
StyleBox["\"<\[Sigma]x>\"", FontSize -> 24, StripOnInput -> False],
TraditionalForm]}, AxesOrigin -> {0, 0},
BaseStyle -> {FontSize -> 24},
FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
GridLines -> {None, None}, GridLinesStyle -> Directive[
GrayLevel[0.5, 0.4]],
Method -> {
"MessagesHead" -> DiscretePlot, "AxisPadding" -> Scaled[0.02],
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}},
"DefaultMeshStyle" -> AbsolutePointSize[6], "DefaultPlotStyle" -> {
Directive[
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.880722, 0.611041, 0.142051],
AbsoluteThickness[1.6]],
Directive[
RGBColor[0.560181, 0.691569, 0.194885],
AbsoluteThickness[1.6]],
Directive[