-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathElectro-optics_Q2.m
287 lines (227 loc) · 7.48 KB
/
Electro-optics_Q2.m
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
%2
disp('2:');
%2C1
disp('2C1:');
lambda_margin = (0.4:0.01:1);%𝜇m
f_len_new = zeros(size(lambda_margin));
n_val_of_n7 = zeros(size(lambda_margin));
%focal lengths for every wavelength
for j = 1:length(lambda_margin)
wavelength = lambda_margin(j);
%n_BK7 formula
n = sqrt(1 + 1.03961212./(1-0.00600069867./wavelength^2) + 0.231792344./(1-0.0200179144./wavelength^2) + 1.01046945./(1-103.560653./wavelength^2));
n_val_of_n7(j) = n;
%lens maker's formula
f = (n - 1) * ((1/(-44)) - (1/(-5))); % R1 = -44 and R2 = -5
f_len_new(j) = 1 / f;
end
%plot n to λ
figure;
subplot(2, 1, 1);
plot(lambda_margin, n_val_of_n7, 'g', 'LineWidth', 2);
xlabel('λ(\mum)');
ylabel('n');
title('refractive index of lens to wavelength');
grid on;
%plot f to λ
subplot(2, 1, 2);
plot(lambda_margin, f_len_new, 'r', 'LineWidth', 2);
xlabel('λ[\mum]');
ylabel('f [mm]');
title('focal length to wavelength');
grid on;
%%
%2C2
disp('2C2:');
R = 34e-3; %radii of curvature
lambda1 = 744e-9;%[m]
lambda2 = 534e-9;%[m]
f = 33.203125e-3; %[m]
L1 = 70e-3;%d to lens [m]
L2 = 63.16348195e-3;%d from lens to figure[m]
theta_range = linspace(pi/5, -pi/5, 11);%angles
%progression in space matrix
prog_mat = [1, L1; 0, 1];
%thin lens matrix
thin_lens_mat = [1, 0; -1/f, 1];
heights_arry = zeros(length(theta_range), 3);
%run over angles
for j = 1:length(theta_range)
%incoming beam hight- 0.001[m]
beam_initial = [0.001; tan(theta_range(j))];
to_hit = prog_mat * beam_initial;
hit = thin_lens_mat * to_hit;
beam_finial = prog_mat * hit;
heights_arry(j, :) = [beam_initial(1), hit(1), beam_finial(1)];
end
%plot
figure;
hold on;
for j = 1:length(theta_range)
plot([0, L1, L1 + L2], heights_arry(j, :), '-');
end
xlabel('distance[m]');
ylabel('height[m]');
title('progression of the rays in the system');
grid on;
%%
%2C3
disp('2C3:');
f = 33.203125e-3; %[m]
%ray heights
heights_lambda1 = zeros(length(-10:1:10), 3);
heights_lambda2 = zeros(length(-10:1:10), 3);
%iterate over heights
h_range = -0.001:0.0001:0.001;
for j = 1:length(h_range)
%incoming beam
beam_initial = [h_range(j); 0];
to_hit = prog_mat * beam_initial;
hit = thin_lens_mat * to_hit;
beam_finial = prog_mat * hit;
heights_lambda1(j, :) = [beam_initial(1), hit(1), beam_finial(1)];
%lambda2
thin_lens_mat_lambda2 = [1, 0; -1/(f*(lambda2/lambda1)), 1];
hit_lambda2 = thin_lens_mat_lambda2 * to_hit;
beam_finial_lambda2 = prog_mat * hit_lambda2;
heights_lambda2(j, :) = [beam_initial(1), hit_lambda2(1), beam_finial_lambda2(1)];
end
%plot
figure;
hold on;
%lambda1
plot([0, L1, L1 + L2], heights_lambda1(:, :), 'red');
%lambda2
plot([0, L1, L1 + L2], heights_lambda2(:, :), 'green');
xlabel('distance[m]');
ylabel('height[m]');
title('progression of the rays in the system');
hold off;
%%
%2D1
%%
%2D2
disp('2D2:');
R2=-34.*10.^(-3);%[m]
R1=34.*10.^(-3);%[m]
R3=136.503.*10.^(-3);%[m]
d1=0.22.*10.^(-3);%[m]
d2=2.59.*10.^(-3);%[m]
lambda_margin = (400*(10.^(-9)):10*(10.^-9):1000*(10.^(-9)));%[m]
f_len = zeros(size(lambda_margin));
n_val_of_n7 = zeros(size(lambda_margin));
n_val_of_n2 = zeros(size(lambda_margin));
for j = 1:length(lambda_margin)
wavelength = lambda_margin(j);
%n_BK7 formula
n7=sqrt(1 + 1.03961212./(1-0.00600069867./(wavelength.*10^6)^2) + 0.231792344./(1-0.0200179144./(wavelength.*10^6)^2) + 1.01046945./(1-103.560653./(wavelength.*10^6)^2));
n_val_of_n7(j) = n7;
%n_F2 formula
n2=sqrt(1 + 1.34533359./(1-0.00997743871./(wavelength.*10^6)^2) + 0.209073176./(1-0.0470450767./(wavelength.*10^6)^2) + 0.937357162./(1-111.886764./(wavelength.*10^6)^2));
n_val_of_n2(j) = n2;
numerator = n2 .* R3 .* (n2 .* R2 .* (-n7 + 1) + (n7 - n2) .* (n7 .* R1 + d1 .* (-n7 + 1))) + ...
(d2 .* (n2 * R2 .* (-n7 + 1) + (d1 .* (1 - n7) + n7 .* R1) .* (n7 - n2)) + n2 .* R2 .* (n7 .* R1 + d1 .* (-n7 + 1))) .* (n7 - n2);
denominator = n7 .* n2^2 .* R1 .* R2 * R3;
expression = numerator ./ denominator;
f_len(j)=-1./expression;
end
%refractive index to wavelength
figure;
subplot(2, 1, 1);
plot(lambda_margin, n_val_of_n7, 'r', 'LineWidth', 2);
xlabel('λ[m]');
ylabel('n_{BK7}');
title('refractive index - Wavelength (n_{BK7})');
grid on;
subplot(2, 1, 2);
plot(lambda_margin, n_val_of_n2, 'r', 'LineWidth', 2);
xlabel('λ[m]');
ylabel('n_{F2}');
title('refractive index - Wavelength (n_{F2})');
grid on;
%avarages
f_avg=mean(f_len);
disp(f_avg);
n7_avg=mean(n_val_of_n7);
disp(n7_avg);
R1_avg=2.*f_avg.*(n7_avg-1);
R2_avg=-2.*f_avg.*(n7_avg-1);
lambda_margin = (400*(10.^(-9)):10*(10.^-9):1000*(10.^(-9)));%[m]
f_len_new = zeros(size(lambda_margin));
for i = 1:length(lambda_margin)
wavelength = lambda_margin(i);
n7=sqrt(1 + 1.03961212./(1-0.00600069867./(wavelength.*10^6)^2) + 0.231792344./(1-0.0200179144./(wavelength.*10^6)^2) + 1.01046945./(1-103.560653./(wavelength.*10^6)^2));
n_val_of_n7(i) = n7;
C_ABCD = (n7 - 1) .* ((1./(R1_avg)) - (1./(R2_avg)));
f_len_new(i) = 1 ./ C_ABCD;
end
%plot focal length to wavelength
figure;
plot(lambda_margin, f_len, 'g', 'LineWidth', 2);
hold on;
plot(lambda_margin, f_len_new, 'r', 'LineWidth', 2);
hold off;
xlabel('λ[m]');
ylabel('f[m]');
title('focal length - wavelngth');
legend('with layer', 'without layer');
%%
%2D3
disp('2D3:');
%Principal planes
h1 = zeros(size(lambda_margin));
h2 = zeros(size(lambda_margin));
n_val_of_n7_D3 = zeros(size(lambda_margin));
n_val_of_n2_D3 = zeros(size(lambda_margin));
%ABCD matrix
A_bcd = zeros(size(lambda_margin));
a_B_cd = zeros(size(lambda_margin));
ab_C_d = zeros(size(lambda_margin));
abc_D = zeros(size(lambda_margin));
lambda_margin = (400*(10.^(-9)):10*(10.^-9):1000*(10.^(-9)));%[m]
for i = 1:length(lambda_margin)
wavelength = lambda_margin(i);
%n_BK7 formula
n7=sqrt(1 + 1.03961212./(1-0.00600069867./(wavelength.*10^6)^2) + 0.231792344./(1-0.0200179144./(wavelength.*10^6)^2) + 1.01046945./(1-103.560653./(wavelength.*10^6)^2));
n_val_of_n7_D3(i)=n7;
%n_F2 formula
n2=sqrt(1 + 1.34533359./(1-0.00997743871./(wavelength.*10^6)^2) + 0.209073176./(1-0.0470450767./(wavelength.*10^6)^2) + 0.937357162./(1-111.886764./(wavelength.*10^6)^2));
n_val_of_n2_D3(i)=n2;
%spherical surface hit matrix
R1_mat = [1, 0; (1-n7)/(n7*R1_avg), 1/n7];
R2_mat = [1, 0; (n7-n2)/(n2*R2_avg), n7/n2];
R3_mat = [1, 0; (n2-1)/(1*R3), n2/1];
%space progression matrix
d1_mat = [1, d1; 0, 1];
d2_mat = [1, d2; 0, 1];
%total system matrix
tot_systen_mat = R3_mat * d2_mat * R2_mat * d1_mat * R1_mat;
A_bcd(i) = tot_systen_mat(1, 1);
a_B_cd(i) = tot_systen_mat(1, 2);
ab_C_d(i) = tot_systen_mat(2, 1);
abc_D(i) = tot_systen_mat(2, 2);
%h1 and h2 for each wavelength
h1(i) = (abc_D(i) - 1 )/ab_C_d(i);
h2(i) = (1 - A_bcd(i))/ab_C_d(i);
end
h1_avg = mean(h1);
h2_avg = mean(h2);
disp(['h1_average = ', num2str(h1_avg)]);
disp(['h2_average = ', num2str(h2_avg)]);
%plot h1 to wavelength
figure;
subplot(2,1,1)
plot(lambda_margin, h1, 'b', 'DisplayName', 'h1');
xlabel('λ[m]');
ylabel('h1[m]');
title('h1 - λ');
legend('h1', 'Location', 'Best');
grid on;
%plot h2 to wavelength
subplot(2,1,2)
plot(lambda_margin, h2, 'g', 'DisplayName', 'h2');
xlabel('λ[m]');
ylabel('h2[m]');
title('h2 - λ');
legend('h2', 'Location', 'Best');
grid on;