-
Notifications
You must be signed in to change notification settings - Fork 0
/
SPLIM_Lecture03.nb
1601 lines (1588 loc) · 77.1 KB
/
SPLIM_Lecture03.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 11.3' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 78836, 1593]
NotebookOptionsPosition[ 77914, 1571]
NotebookOutlinePosition[ 78371, 1588]
CellTagsIndexPosition[ 78328, 1585]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[TextData[Cell[BoxData["lpw"], \
"Input",ExpressionUUID->"de608f2b-33da-4d9a-91fb-e650c22ab690"]], "Program",
CellChangeTimes->{{3.7640780635818777`*^9, 3.764078089108975*^9}, {
3.76408156992472*^9, 3.764081707171649*^9}, 3.76415138745918*^9, {
3.764498596278722*^9, 3.76449861090027*^9}, {3.7644986410296707`*^9,
3.764498645324382*^9}, {3.7647452390464983`*^9, 3.764745239412262*^9}},
TextAlignment->Center,ExpressionUUID->"f573752c-c2c5-4646-969c-99d5d0573592"],
Cell[BoxData[
RowBox[{"(*", " ",
RowBox[{
"Mathematica", " ", "notebook", " ", "for", " ", "trajetory", " ", "in",
" ", "linear", " ", "polarized", " ", "plane", " ",
RowBox[{"wave", ".", " ",
RowBox[{
RowBox[{"Following", " ", "[", "Gibbon", "]"}], "'"}]}], "s", " ",
"lecture", " ", "3", "\n", " ",
RowBox[{"date", " ", ":", " ",
RowBox[{
RowBox[{
RowBox[{"10", "/", "12"}], "/", "2018"}], "\n", " ", "author"}], ":",
" ",
RowBox[{"\[CapitalOAcute]scar", " ",
RowBox[{"L", ".", " ", "Amaro"}]}]}]}], "\n", "*)"}]], "Input",
CellChangeTimes->{{3.7647444957846947`*^9, 3.7647445549551992`*^9}, {
3.7647448231199512`*^9, 3.764744828224166*^9}, {3.764745247454199*^9,
3.764745330216889*^9}, 3.764822704792781*^9, {3.7648255204020863`*^9,
3.7648255521188107`*^9},
3.90505163369172*^9},ExpressionUUID->"140c1a33-c847-4001-8d04-\
e642d08ce638"],
Cell[BoxData[{
RowBox[{"SetOptions", "[",
RowBox[{"$FrontEndSession", ",",
RowBox[{"NotebookAutoSave", "\[Rule]", "True"}]}], "]"}], "\n",
RowBox[{"NotebookSave", "[", "]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"imgsize", "=", "400"}], ";",
RowBox[{"asp", "=", "1.0"}], ";",
RowBox[{"tck", "=", "0.01"}], ";",
RowBox[{"sz", "=", "30"}], ";", " ",
RowBox[{"dsh", "=", "0.05"}], ";"}]}], "Input",
CellChangeTimes->{{3.764825603965975*^9, 3.764825604345209*^9}},
CellLabel->"In[1]:=",ExpressionUUID->"9ae64f95-cc2d-4888-99bc-bac3491af4cf"],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{"\[Delta]", "=",
RowBox[{"-", "1"}]}], ";",
RowBox[{"\[Omega]", "=", "1"}], ";",
RowBox[{"k", "=", "1"}], ";",
RowBox[{"x", "=", "1"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Phi]", "[", "t_", "]"}], ":=",
RowBox[{
RowBox[{"\[Omega]", "*", "t"}], "-",
RowBox[{"k", "*", "x"}]}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"data", "[", "a0_", "]"}], ":=",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{", "tab", "}"}], ",", "\[IndentingNewLine]",
RowBox[{
RowBox[{"tab", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"N", "[", "\[IndentingNewLine]",
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{
FractionBox["1", "4"], "*",
RowBox[{"(",
RowBox[{
RowBox[{"\[Phi]", "[", "t", "]"}], "+",
RowBox[{
FractionBox[
RowBox[{
RowBox[{"2",
RowBox[{"\[Delta]", "^", "2"}]}], "-", "1"}], "2"], "*",
RowBox[{"Sin", "[",
RowBox[{"2", "*",
RowBox[{"\[Phi]", "[", "t", "]"}]}], "]"}]}]}], ")"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"\[Delta]", "*", "a0", "*",
RowBox[{"Sin", "[",
RowBox[{"\[Phi]", "[", "t", "]"}], "]"}]}]}],
"\[IndentingNewLine]", "}"}], "]"}], ",",
RowBox[{"{",
RowBox[{"t", ",", "1", ",", "7.2", ",", "0.05"}], "}"}]}], "]"}]}],
";", "\[IndentingNewLine]",
RowBox[{"Return", " ", "[", "tab", "]"}]}]}], "\[IndentingNewLine]",
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"plt1", "=",
RowBox[{"ListLinePlot", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"data", "[", "0.3", "]"}], ",", "\[IndentingNewLine]",
RowBox[{"data", "[", "1.0", "]"}], ",", "\[IndentingNewLine]",
RowBox[{"data", "[", "3", "]"}]}], "\[IndentingNewLine]", "}"}], ",",
"\[IndentingNewLine]", "\[IndentingNewLine]",
RowBox[{"PlotStyle", "\[Rule]",
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"Directive", "[",
RowBox[{"Black", ",",
RowBox[{"Dashing", "[", "1", "]"}], ",",
RowBox[{"Thickness", "[", "tck", "]"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Directive", "[",
RowBox[{"Black", ",",
RowBox[{"Dashing", "[",
RowBox[{"dsh", "/", "2"}], "]"}], ",",
RowBox[{"Thickness", "[", "tck", "]"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Directive", "[",
RowBox[{"Black", ",", "Dotted", ",",
RowBox[{"Thickness", "[",
RowBox[{"tck", "/", "2"}], "]"}]}], "]"}]}],
"\[IndentingNewLine]", "}"}]}], ",", "\[IndentingNewLine]",
RowBox[{
"PlotLabel", "\[Rule]", "\"\<[GIBBON], lecture 3 slide 16\>\""}], ",",
RowBox[{"LabelStyle", "\[Rule]",
RowBox[{"Directive", "[",
RowBox[{"Bold", ",",
RowBox[{"FontSize", "\[Rule]", "20"}]}], "]"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"ImageSize", "\[Rule]", "imgsize"}], ",",
RowBox[{"AspectRatio", "\[Rule]", "asp"}], ",", "\[IndentingNewLine]",
RowBox[{"Frame", "\[Rule]",
RowBox[{"{",
RowBox[{"True", ",", "True"}], "}"}]}], ",",
RowBox[{"FrameLabel", "\[Rule]",
RowBox[{"{",
RowBox[{
"\"\<\!\(\*SubscriptBox[\(k\), \
\(x\)]\)/\!\(\*SuperscriptBox[SubscriptBox[\(a\), \(0\)], \(2\)]\)\>\"", ",",
"\"\<\!\(\*SubscriptBox[\(k\), \(y\)]\)\>\""}], "}"}]}], ",",
RowBox[{"FrameStyle", "\[Rule]",
RowBox[{"Directive", "[", "Thick", "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"PlotLegends", "\[Rule]",
RowBox[{"Placed", "[",
RowBox[{
RowBox[{"LineLegend", "[",
RowBox[{
RowBox[{"{",
RowBox[{
"\"\<\!\(\*SubscriptBox[\(a\), \(0\)]\)=0.3\>\"", ",",
"\"\<\!\(\*SubscriptBox[\(a\), \(0\)]\)1.0\>\"", ",",
"\"\<\!\(\*SubscriptBox[\(a\), \(0\)]\)=3.0\>\""}], "}"}], ",",
RowBox[{"LabelStyle", "\[Rule]",
RowBox[{"{",
RowBox[{"Black", ",", "Bold", ",", "18"}], "}"}]}], ",",
RowBox[{"LegendLayout", "\[Rule]",
RowBox[{"{",
RowBox[{"\"\<Column\>\"", ",", "1"}], "}"}]}]}], "]"}], ",",
RowBox[{"{",
RowBox[{"0.25", ",", "0.75"}], "}"}]}], "]"}]}]}], "]"}]}], ";"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{"q", "=",
RowBox[{"{",
RowBox[{"0.3", ",", "1.0", ",", "3.0"}], "}"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"plt2", "=",
RowBox[{"ContourPlot", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"16",
RowBox[{"x", "^", "2"}]}], "-",
RowBox[{
RowBox[{"y", "^", "2"}], "*",
RowBox[{"(",
RowBox[{
RowBox[{"4", "*",
RowBox[{"q", "^", "2"}]}], "-",
RowBox[{"y", "^", "2"}]}], ")"}]}]}], "\[Equal]", "0"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "0.5"}], ",", "0.5"}], "}"}], ",",
RowBox[{"{",
RowBox[{"y", ",",
RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"ContourStyle", "\[Rule]", "Black"}], ",",
"\[IndentingNewLine]",
RowBox[{
"PlotLabel", "\[Rule]", "\"\<[GIBBON], lecture 3 slide 21\>\""}], ",",
RowBox[{"LabelStyle", "\[Rule]",
RowBox[{"Directive", "[",
RowBox[{"Bold", ",",
RowBox[{"FontSize", "\[Rule]", "20"}]}], "]"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"ImageSize", "\[Rule]", "imgsize"}], ",",
RowBox[{"AspectRatio", "\[Rule]", "asp"}], ",",
RowBox[{"FrameLabel", "\[Rule]",
RowBox[{"{",
RowBox[{
"\"\<\!\(\*SubscriptBox[\(k\), \(x\)]\)\>\"", ",",
"\"\<\!\(\*SubscriptBox[\(k\), \(y\)]\)\>\""}], "}"}]}], ",",
RowBox[{"FrameStyle", "\[Rule]",
RowBox[{"Directive", "[", "Thick", "]"}]}]}], "]"}]}], ";"}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{"Row", "[",
RowBox[{"{",
RowBox[{"plt1", ",", "plt2"}], "}"}],
"]"}], "\[IndentingNewLine]"}], "Input",
CellChangeTimes->{{3.7360566583993473`*^9, 3.736056961122222*^9}, {
3.7360570043887787`*^9, 3.7360573436926203`*^9}, {3.736057577304068*^9,
3.736057585737033*^9}, {3.736057651135283*^9, 3.73605810756774*^9}, {
3.736058138083745*^9, 3.7360583144517593`*^9}, {3.736058370596471*^9,
3.736058380240988*^9}, {3.737306934202773*^9, 3.737306935456555*^9}, {
3.7373069707617693`*^9, 3.737307006771953*^9}, {3.7373070581071577`*^9,
3.737307151379429*^9}, {3.737307209519499*^9, 3.73730721027691*^9}, {
3.737307251210806*^9, 3.737307313596525*^9}, {3.737307368552211*^9,
3.737307480457383*^9}, {3.7373075562450447`*^9, 3.7373076433220663`*^9}, {
3.737307685222762*^9, 3.737307720288329*^9}, {3.737307854447176*^9,
3.73730795790641*^9}, {3.741061084979205*^9, 3.741061120357335*^9}, {
3.743507248069394*^9, 3.743507251911888*^9}, {3.743507339917335*^9,
3.743507350956346*^9}, 3.747939076372616*^9, {3.753470316723116*^9,
3.753470317959656*^9}, {3.7648255783072367`*^9, 3.7648256226325617`*^9}},
CellLabel->"In[11]:=",ExpressionUUID->"85e1baab-269c-45da-b37f-e24da9393351"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"0.3`", ",", "1.`", ",", "3.`"}], "}"}]], "Output",
CellChangeTimes->{{3.737307387519579*^9, 3.737307481448926*^9}, {
3.7373075802665586`*^9, 3.737307643793674*^9}, {3.7373076877575397`*^9,
3.737307720790682*^9}, 3.7373078188696117`*^9, {3.7373078556931477`*^9,
3.737307864875848*^9}, {3.737307933324391*^9, 3.73730795830663*^9},
3.7410610245594482`*^9, {3.741061088331305*^9, 3.7410611209403687`*^9},
3.74350725970645*^9, 3.7435073526741858`*^9, {3.753470388824222*^9,
3.753470398528257*^9}, {3.764825609065613*^9, 3.764825623003903*^9}},
CellLabel->"Out[15]=",ExpressionUUID->"df688f2a-4595-4ce8-8c75-f71d5db2d5ea"],
Cell[BoxData[
TemplateBox[{TagBox[
GraphicsBox[{{{}, {{{}, {}, {
Hue[0.67, 0.6, 0.6],
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[1],
Thickness[0.01]],
LineBox[CompressedData["
1:eJxdzns41PkeB3BZaTfKJZuNlEKoKFoWXd4ol8qtopR0hOqgq1C7KwlNrJSj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"]]}, {
Hue[0.9060679774997897, 0.6, 0.6],
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.025],
Thickness[0.01]],
LineBox[CompressedData["
1:eJxdzHk81HkDB3CptZuUo1qlbRU6ts1ZET31cWRSqVDRQ9oOJaSsDruli0hJ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"]]}, {
Hue[0.1421359549995791, 0.6, 0.6],
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.005]],
LineBox[CompressedData["
1:eJxd1Hs0VAsbBvAxZma3omZIKdWXUKI4qOQ41bspl5ISlUpUcjkuB7l0j4hB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"]]}}, {{
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[1],
Thickness[0.01]]}, {
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.025],
Thickness[0.01]]}, {
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.005]]}}, {{
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[1],
Thickness[0.01]]}, {
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.025],
Thickness[0.01]]}, {
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.005]]}, {}, {}, {}, {}, {}, {}, {}}, {{
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[1],
Thickness[0.01]]}, {
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.025],
Thickness[0.01]]}, {
Directive[
PointSize[
NCache[
Rational[1, 90], 0.011111111111111112`]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.005]]}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, {
InsetBox[
FormBox[
TemplateBox[{
"\"\\!\\(\\*SubscriptBox[\\(a\\), \\(0\\)]\\)=0.3\"",
"\"\\!\\(\\*SubscriptBox[\\(a\\), \\(0\\)]\\)1.0\"",
"\"\\!\\(\\*SubscriptBox[\\(a\\), \\(0\\)]\\)=3.0\""},
"LineLegend", DisplayFunction -> (FormBox[
StyleBox[
StyleBox[
PaneBox[
TagBox[
GridBox[{{
TagBox[
GridBox[{{
GraphicsBox[{{
Directive[
EdgeForm[
Directive[
Opacity[0.3],
GrayLevel[0]]],
PointSize[0.5],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[9],
Thickness[0.09]], {
LineBox[{{0, 10}, {40, 10}}]}}, {
Directive[
EdgeForm[
Directive[
Opacity[0.3],
GrayLevel[0]]],
PointSize[0.5],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[9],
Thickness[0.09]], {}}}, AspectRatio -> Full,
ImageSize -> {40, 10}, PlotRangePadding -> None,
ImagePadding -> Automatic,
BaselinePosition -> (Scaled[-0.148] -> Baseline)], #}, {
GraphicsBox[{{
Directive[
EdgeForm[
Directive[
Opacity[0.3],
GrayLevel[0]]],
PointSize[0.5],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.225],
Thickness[0.09]], {
LineBox[{{0, 10}, {40, 10}}]}}, {
Directive[
EdgeForm[
Directive[
Opacity[0.3],
GrayLevel[0]]],
PointSize[0.5],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.225],
Thickness[0.09]], {}}}, AspectRatio -> Full,
ImageSize -> {40, 10}, PlotRangePadding -> None,
ImagePadding -> Automatic,
BaselinePosition -> (Scaled[-0.148] -> Baseline)], #2}, {
GraphicsBox[{{
Directive[
EdgeForm[
Directive[
Opacity[0.3],
GrayLevel[0]]],
PointSize[0.5],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.045]], {
LineBox[{{0, 10}, {40, 10}}]}}, {
Directive[
EdgeForm[
Directive[
Opacity[0.3],
GrayLevel[0]]],
PointSize[0.5],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.045]], {}}}, AspectRatio -> Full,
ImageSize -> {40, 10}, PlotRangePadding -> None,
ImagePadding -> Automatic,
BaselinePosition -> (Scaled[-0.148] -> Baseline)], #3}},
GridBoxAlignment -> {
"Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
AutoDelete -> False,
GridBoxDividers -> {
"Columns" -> {{False}}, "Rows" -> {{False}}},
GridBoxItemSize -> {
"Columns" -> {{All}}, "Rows" -> {{All}}},
GridBoxSpacings -> {
"Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
GridBoxAlignment -> {
"Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
False, GridBoxItemSize -> {
"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
"Grid"], Alignment -> Left, AppearanceElements -> None,
ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
"ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
GrayLevel[0], FontWeight -> Bold, FontSize -> 18, FontFamily ->
"Arial"}, Background -> Automatic, StripOnInput -> False],
TraditionalForm]& ),
InterpretationFunction :> (RowBox[{"LineLegend", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"Directive", "[",
RowBox[{
RowBox[{"PointSize", "[",
FractionBox["1", "90"], "]"}], ",",
RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
RowBox[{"FontFamily", "\[Rule]", "\"Times\""}], ",",
InterpretationBox[
ButtonBox[
TooltipBox[
GraphicsBox[{{
GrayLevel[0],
RectangleBox[{0, 0}]}, {
GrayLevel[0],
RectangleBox[{1, -1}]}, {
GrayLevel[0],
RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
"ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
FrameStyle -> GrayLevel[0.], FrameTicks -> None,
PlotRangePadding -> None, ImageSize ->
Dynamic[{Automatic, 1.35 CurrentValue["FontCapHeight"]/
AbsoluteCurrentValue[Magnification]}]],
StyleBox[
RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks ->
False]], Appearance -> None, BaseStyle -> {},
BaselinePosition -> Baseline, DefaultBaseStyle -> {},
ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]},
If[
Not[
AbsoluteCurrentValue["Deployed"]],
SelectionMove[Typeset`box$, All, Expression];
FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
FrontEnd`Private`$ColorSelectorInitialColor =
GrayLevel[0];
FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
MathLink`CallFrontEnd[
FrontEnd`AttachCell[Typeset`box$,
FrontEndResource["GrayLevelColorValueSelector"], {
0, {Left, Bottom}}, {Left, Top},
"ClosingActions" -> {
"SelectionDeparture", "ParentChanged",
"EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
Automatic, Method -> "Preemptive"],
GrayLevel[0], Editable -> False, Selectable -> False],
",",
RowBox[{"Dashing", "[", "1", "]"}], ",",
RowBox[{"Thickness", "[", "0.01`", "]"}]}], "]"}], ",",
RowBox[{"Directive", "[",
RowBox[{
RowBox[{"PointSize", "[",
FractionBox["1", "90"], "]"}], ",",
RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
RowBox[{"FontFamily", "\[Rule]", "\"Times\""}], ",",
InterpretationBox[
ButtonBox[
TooltipBox[
GraphicsBox[{{
GrayLevel[0],
RectangleBox[{0, 0}]}, {
GrayLevel[0],
RectangleBox[{1, -1}]}, {
GrayLevel[0],
RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
"ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
FrameStyle -> GrayLevel[0.], FrameTicks -> None,
PlotRangePadding -> None, ImageSize ->
Dynamic[{Automatic, 1.35 CurrentValue["FontCapHeight"]/
AbsoluteCurrentValue[Magnification]}]],
StyleBox[
RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks ->
False]], Appearance -> None, BaseStyle -> {},
BaselinePosition -> Baseline, DefaultBaseStyle -> {},
ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]},
If[
Not[
AbsoluteCurrentValue["Deployed"]],
SelectionMove[Typeset`box$, All, Expression];
FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
FrontEnd`Private`$ColorSelectorInitialColor =
GrayLevel[0];
FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
MathLink`CallFrontEnd[
FrontEnd`AttachCell[Typeset`box$,
FrontEndResource["GrayLevelColorValueSelector"], {
0, {Left, Bottom}}, {Left, Top},
"ClosingActions" -> {
"SelectionDeparture", "ParentChanged",
"EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
Automatic, Method -> "Preemptive"],
GrayLevel[0], Editable -> False, Selectable -> False],
",",
RowBox[{"Dashing", "[", "0.025`", "]"}], ",",
RowBox[{"Thickness", "[", "0.01`", "]"}]}], "]"}], ",",
RowBox[{"Directive", "[",
RowBox[{
RowBox[{"PointSize", "[",
FractionBox["1", "90"], "]"}], ",",
RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
RowBox[{"FontFamily", "\[Rule]", "\"Times\""}], ",",
InterpretationBox[
ButtonBox[
TooltipBox[
GraphicsBox[{{
GrayLevel[0],
RectangleBox[{0, 0}]}, {
GrayLevel[0],
RectangleBox[{1, -1}]}, {
GrayLevel[0],
RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
"ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
FrameStyle -> GrayLevel[0.], FrameTicks -> None,
PlotRangePadding -> None, ImageSize ->
Dynamic[{Automatic, 1.35 CurrentValue["FontCapHeight"]/
AbsoluteCurrentValue[Magnification]}]],
StyleBox[
RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks ->
False]], Appearance -> None, BaseStyle -> {},
BaselinePosition -> Baseline, DefaultBaseStyle -> {},
ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]},
If[
Not[
AbsoluteCurrentValue["Deployed"]],
SelectionMove[Typeset`box$, All, Expression];
FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
FrontEnd`Private`$ColorSelectorInitialColor =
GrayLevel[0];
FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
MathLink`CallFrontEnd[
FrontEnd`AttachCell[Typeset`box$,
FrontEndResource["GrayLevelColorValueSelector"], {
0, {Left, Bottom}}, {Left, Top},
"ClosingActions" -> {
"SelectionDeparture", "ParentChanged",
"EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
Automatic, Method -> "Preemptive"],
GrayLevel[0], Editable -> False, Selectable -> False],
",",
RowBox[{"Dashing", "[",
RowBox[{"{",
RowBox[{"0", ",", "Small"}], "}"}], "]"}], ",",
RowBox[{"Thickness", "[", "0.005`", "]"}]}], "]"}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{#, ",", #2, ",", #3}], "}"}], ",",
RowBox[{"LegendMarkers", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"False", ",", "Automatic"}], "}"}], ",",
RowBox[{"{",
RowBox[{"False", ",", "Automatic"}], "}"}], ",",
RowBox[{"{",
RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}],
",",
RowBox[{"Joined", "\[Rule]",
RowBox[{"{",
RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",",
RowBox[{"LabelStyle", "\[Rule]",
RowBox[{"{",
RowBox[{
InterpretationBox[
ButtonBox[
TooltipBox[
GraphicsBox[{{
GrayLevel[0],
RectangleBox[{0, 0}]}, {
GrayLevel[0],
RectangleBox[{1, -1}]}, {
GrayLevel[0],
RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
"ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
FrameStyle -> GrayLevel[0.], FrameTicks -> None,
PlotRangePadding -> None, ImageSize ->
Dynamic[{
Automatic, 1.35 CurrentValue["FontCapHeight"]/
AbsoluteCurrentValue[Magnification]}]],
StyleBox[
RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks ->
False]], Appearance -> None, BaseStyle -> {},
BaselinePosition -> Baseline, DefaultBaseStyle -> {},
ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]},
If[
Not[
AbsoluteCurrentValue["Deployed"]],
SelectionMove[Typeset`box$, All, Expression];
FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
FrontEnd`Private`$ColorSelectorInitialColor =
GrayLevel[0];
FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
MathLink`CallFrontEnd[
FrontEnd`AttachCell[Typeset`box$,
FrontEndResource["GrayLevelColorValueSelector"], {
0, {Left, Bottom}}, {Left, Top},
"ClosingActions" -> {
"SelectionDeparture", "ParentChanged",
"EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
Automatic, Method -> "Preemptive"],
GrayLevel[0], Editable -> False, Selectable -> False],
",", "Bold", ",", "18"}], "}"}]}], ",",
RowBox[{"LegendLayout", "\[Rule]",
RowBox[{"{",
RowBox[{"\"Column\"", ",", "1"}], "}"}]}]}], "]"}]& ),
Editable -> True], TraditionalForm],
Scaled[{0.25, 0.75}],
ImageScaled[{0.5, 0.5}], FormatType -> StandardForm,
BaseStyle -> {FontSize -> Larger}]}}, {
DisplayFunction -> Identity, DisplayFunction -> Identity,
DisplayFunction -> Identity, AspectRatio -> 1., Axes -> {True, True},
AxesLabel -> {None, None}, AxesOrigin -> {0, 0},
BaseStyle -> {FontFamily -> "Times"}, DisplayFunction :> Identity,
Frame -> {{True, True}, {True, True}}, FrameLabel -> {{
FormBox[
"\"\\!\\(\\*SubscriptBox[\\(k\\), \\(y\\)]\\)\"", TraditionalForm],
None}, {
FormBox[
"\"\\!\\(\\*SubscriptBox[\\(k\\), \
\\(x\\)]\\)/\\!\\(\\*SuperscriptBox[SubscriptBox[\\(a\\), \\(0\\)], \
\\(2\\)]\\)\"", TraditionalForm], None}}, FrameStyle -> Directive[
Thickness[Large]],
FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
GridLines -> {None, None}, GridLinesStyle -> Directive[
GrayLevel[0.5, 0.4]], ImageSize -> 400, LabelStyle ->
Directive[Bold, FontSize -> 20],
Method -> {
"OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}}, PlotLabel ->
FormBox["\"[GIBBON], lecture 3 slide 16\"", TraditionalForm],
PlotRange -> {{0, 1.5292994780689613`}, {-2.999351292568071,
2.9997697726923027`}}, PlotRangeClipping -> True,
PlotRangePadding -> {{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}}, Ticks -> {Automatic, Automatic}}],
InterpretTemplate[Legended[
Graphics[{{}, {{{}, {}, {
Hue[0.67, 0.6, 0.6],
Directive[
PointSize[
Rational[1, 90]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[1],
Thickness[0.01]],
Line[CompressedData["
1:eJxdzns41PkeB3BZaTfKJZuNlEKoKFoWXd4ol8qtopR0hOqgq1C7KwlNrJSj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"]]}, {
Hue[0.9060679774997897, 0.6, 0.6],
Directive[
PointSize[
Rational[1, 90]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[0.025],
Thickness[0.01]],
Line[CompressedData["
1:eJxdzHk81HkDB3CptZuUo1qlbRU6ts1ZET31cWRSqVDRQ9oOJaSsDruli0hJ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"]]}, {
Hue[0.1421359549995791, 0.6, 0.6],
Directive[
PointSize[
Rational[1, 90]],
AbsoluteThickness[1.6], FontFamily -> "Times",
GrayLevel[0],
Dashing[{0, Small}],
Thickness[0.005]],
Line[CompressedData["
1:eJxd1Hs0VAsbBvAxZma3omZIKdWXUKI4qOQ41bspl5ISlUpUcjkuB7l0j4hB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