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-rw-r--r--fitness.m60
-rw-r--r--fitter_check.m32
-rw-r--r--gbeam_propagation.m8
-rw-r--r--gbeam_propagation_froward_only.m9
-rw-r--r--mode_match.m26
-rw-r--r--pick_visualization.m10
-rw-r--r--self_gbeam_propagation.m49
-rw-r--r--solution_visualization.m64
8 files changed, 101 insertions, 157 deletions
diff --git a/fitness.m b/fitness.m
index 55f9d76..e92879f 100644
--- a/fitness.m
+++ b/fitness.m
@@ -3,25 +3,26 @@ function [Energy, Waist, Penalty] = fitness( q_0, q_final, x_final, optics_posit
x0 = 0;
Np=20; % # of pts between start position and second lens
N_collimated = 10; % # of pts between second lens and third lens to be collimated region
+ Energy = 0;
x1=optics_positions(1);
x2=optics_positions(2);
x3=optics_positions(3);
- x_array1=linspace(x0,x2,Np);
- x_array2=linspace(x2, x3, N_collimated);
- x = cat(2,x_array1,x_array2);
-
- q_f_trial_forward = gbeam_propagation(x,q_0,x0,optics_placer(optics_positions, optics_focal_length));
- [Waist_trial_forward, Radius_trial_forward] = q2wr(q_f_trial_forward, lambda);
- q_f_trial_backward = gbeam_propagation(x,q_final,x_final,optics_placer(optics_positions, optics_focal_length));
- [Waist_trial_backward, Radius_trial_backward] = q2wr(q_f_trial_backward, lambda);
-
- Energy = 0;
- Penalty_waist_mismatch = sum(abs((Waist_trial_forward-Waist_trial_backward)./min(Waist_trial_forward, Waist_trial_backward)))/Np;
-
- Energy = 1e-2*Penalty_waist_mismatch;
-
+% x_array1=linspace(x0,x2,Np);
+% x_array2=linspace(x2, x3, N_collimated);
+% x = cat(2,x_array1,x_array2);
+%
+% q_f_trial_forward = gbeam_propagation(x,q_0,x0,optics_placer(optics_positions, optics_focal_length));
+% [Waist_trial_forward, Radius_trial_forward] = q2wr(q_f_trial_forward, lambda);
+% q_f_trial_backward = gbeam_propagation(x,q_final,x_final,optics_placer(optics_positions, optics_focal_length));
+% [Waist_trial_backward, Radius_trial_backward] = q2wr(q_f_trial_backward, lambda);
+%
+% Energy = 0;
+% Penalty_waist_mismatch = sum(abs((Waist_trial_forward-Waist_trial_backward)./min(Waist_trial_forward, Waist_trial_backward)))/Np;
+%
+% Energy = 1e-2*Penalty_waist_mismatch;
+%
% penalty calculation
% do not put lenses too close to each other and end positions
lens_size=0.03;
@@ -58,14 +59,33 @@ function [Energy, Waist, Penalty] = fitness( q_0, q_final, x_final, optics_posit
Energy = Energy + penalty_lenses_outside_optical_path;
% make collimated region between 2nd and 3rd lens
- %intialize intermediate points between lenses
- q_intermediate = q_f_trial_forward((x2<x) & (x<x3));
- lambda_over_waist_sq = (-imag(1./q_intermediate)); %with numerical factor
- coef = 1e-3;
- penalty_not_collimated_beam = coef * sum(exp((std(lambda_over_waist_sq)/mean(lambda_over_waist_sq)/abs(optics_positions(2) - optics_positions(3)))));
+ [w0, r0] = q2wr(q_0, lambda);
+ [ w, w_pos ] = self_gbeam_propagation( w0, optics_positions, optics_focal_length, x0, lambda );
+
+ coef = 1;
+ d_object = ((optics_positions(end) - w_pos(end - 1))^2)^.5;
+ d_lens = optics_positions(end) - optics_positions(end - 1);
+ penalty_not_collimated_beam = coef * exp(-(d_object/d_lens)^2);
+
Energy = Energy + penalty_not_collimated_beam;
- Penalty = [ penalty_lenses_too_closely_spaced; penalty_lenses_too_closely_spaced; penalty_not_collimated_beam];
+% % waist at end matches desired waist
+ coef = 10;
+ waist_desired = 3.709E-5;
+
+ penalty_waist = coef *((waist_desired-w(end))^2)^.5;
+
+ Energy = Energy + penalty_waist;
+
+ %intialize intermediate points between lenses
+% q_intermediate = q_f_trial_forward((x2<x) & (x<x3));
+% lambda_over_waist_sq = (-imag(1./q_intermediate)); %with numerical factor
+%
+% coef = 1e-3;
+% penalty_not_collimated_beam = coef * sum(exp((std(lambda_over_waist_sq)/mean(lambda_over_waist_sq)/abs(optics_positions(2) - optics_positions(3)))));
+% Energy = Energy + penalty_not_collimated_beam;
+%
+ Penalty = [ penalty_lenses_too_closely_spaced; penalty_lenses_outside_optical_path; penalty_not_collimated_beam; penalty_waist];
end
diff --git a/fitter_check.m b/fitter_check.m
index f70ded6..c4c5fbf 100644
--- a/fitter_check.m
+++ b/fitter_check.m
@@ -1,5 +1,6 @@
%Permute all possible lens combinations out of set of lenses
-lens_set = [.075, .203];
+lens_set = [.075, .203, .05, .03];
+lens_set = [.075,.203];
lens_permutations = pick(lens_set,3,'or');
%Pre-defined Constants
@@ -13,32 +14,23 @@ rf= 1.0E+100 ;
xf= Ltot;
q0=wr2q(w0,r0,lambda);
qf=wr2q(wf,rf,lambda);
-lens_width = .03;
-show_lens_width = 1;
-show_lens_position = 1;
-display_prop = [show_lens_width, show_lens_position];
%End list
%Mode match
-[ possible_lens_placement, initial_lens_placement, possible_lens_set, possible_sample_energy] = mode_match( q0, qf, Ltot, lambda, lens_permutations, lens_width );
+[ possible_lens_placement, possible_lens_set, possible_sample_energy] = mode_match( q0, qf, Ltot, lambda, lens_permutations );
%Remove similar solutions
n_truncate = 3; %number of digits in truncated solution
[ possible_lens_placement_uniq, possible_lens_placement, possible_sample_energy, possible_lens_set, index ] = remove_similar_soln( possible_sample_energy, possible_lens_placement, possible_lens_set, n_truncate );
-n_visualizations = 5; %number of best solutions to visualize
-n_hist = 10000; %number of sample points in histogram
-stability_max = 1; %max stability (y-axis) shown on energy vs. stability graph
+n_visualizations = 2; %number of best solutions to visualize
+pick_visualization( possible_sample_energy, possible_lens_placement_uniq, possible_lens_placement, possible_lens_set, index, n_visualizations, q0, qf, Ltot, lambda );
-pick_visualization( possible_sample_energy, possible_lens_placement_uniq, possible_lens_placement, possible_lens_set, index, n_visualizations, q0, qf, Ltot, lambda, lens_width, display_prop );
-[stability] = stability_visualization( possible_lens_placement_uniq, q0, qf, xf, possible_lens_placement, possible_lens_set, lambda, n_visualizations, n_hist, index );
-energy_vs_stability( possible_sample_energy, stability, index, stability_max)
+%Visualize fitness function for fixed f2 and f3
+lens_set = [.075, .075, .203];
+f2= 0.40361319425309 ;
+f3= 0.80361319425309 ;
-% %Visualize fitness function for fixed f2 and f3
-% lens_set = [.075, .075, .203];
-% f2= 0.40361319425309 ;
-% f3= 0.80361319425309 ;
-%
-% fitness_simplified=@(x) fitness(q0, qf, Ltot, [x, f2, f3], lens_set, lambda );
-% figure(6)
-% ezplot(fitness_simplified, [0,Ltot]) \ No newline at end of file
+fitness_simplified=@(x) fitness(q0, qf, Ltot, [x, f2, f3], lens_set, lambda );
+figure(6)
+ezplot(fitness_simplified, [0,Ltot]) \ No newline at end of file
diff --git a/gbeam_propagation.m b/gbeam_propagation.m
index 585048d..d81f70e 100644
--- a/gbeam_propagation.m
+++ b/gbeam_propagation.m
@@ -1,4 +1,4 @@
-function [q] = gbeam_propagation(x_pos, q_in, x_in, optics_elements)
+function q = gbeam_propagation(x_pos, q_in, x_in, optics_elements)
% calculate the 'q' parameter of the Gaussian beam propagating through optical
% 'optics_elements' array along 'x' axis at points 'x_pos'
% takes the gaussian beam with initial q_in parameter at x_in
@@ -8,7 +8,7 @@ function [q] = gbeam_propagation(x_pos, q_in, x_in, optics_elements)
if any(x_pos >= x_in)
% Forward propagation to the right of x_in
- [q(x_pos >= x_in)] = gbeam_propagation_froward_only(x_pos(x_pos>=x_in), q_in, x_in, optics_elements);
+ q(x_pos >= x_in) = gbeam_propagation_froward_only(x_pos(x_pos>=x_in), q_in, x_in, optics_elements);
end
if any(x_pos < x_in)
@@ -45,10 +45,8 @@ function [q] = gbeam_propagation(x_pos, q_in, x_in, optics_elements)
% final assignment of the backwards propagating beam
% which we need to flip back
q(x_pos<x_in) = fliplr(q_backw);
- end
+ end
-
-
end
%!test
diff --git a/gbeam_propagation_froward_only.m b/gbeam_propagation_froward_only.m
index 2cdc1d8..afc1316 100644
--- a/gbeam_propagation_froward_only.m
+++ b/gbeam_propagation_froward_only.m
@@ -1,4 +1,4 @@
-function [q] = gbeam_propagation_froward_only(x_pos, q_in, x_in, optics_elements)
+function q = gbeam_propagation_froward_only(x_pos, q_in, x_in, optics_elements)
% calculate the 'q' parameter of the Gaussian beam propagating through optical
% 'optics_elements' only in the positive direction along 'x' axis at points 'x_pos'
% takes the gaussian beam with initial q_in parameter at x_in
@@ -8,10 +8,6 @@ function [q] = gbeam_propagation_froward_only(x_pos, q_in, x_in, optics_element
%
% all x_pos must be to the right of x_in
% x_pos must be monotonic!
-
- %Initialize q_lens (q at position of lens)
- q_lens = zeros(1,size(optics_elements,2));
-
if (any(x_pos < x_in))
error('all beam positions must be to the right of the x_in');
end
@@ -49,7 +45,8 @@ function [q] = gbeam_propagation_froward_only(x_pos, q_in, x_in, optics_element
index = (x_last_calc <= x_pos);
x=x_pos(index);
q(index)= q_after_free_space(q_last_calc,x-x_last_calc);
-
+
+
end
diff --git a/mode_match.m b/mode_match.m
index dafe209..0a36332 100644
--- a/mode_match.m
+++ b/mode_match.m
@@ -1,4 +1,4 @@
-function [ final_possible_lens_placement, initial_possible_lens_placement, possible_lens_set, possible_sample_energy] = mode_match( q0, qf, Ltot, lambda, lens_permutations, lens_width )
+function [ possible_lens_placement, possible_lens_set, possible_sample_energy] = mode_match( q0, qf, Ltot, lambda, lens_permutations )
%Shuffles lenses into random positions and stores possible solutions
% Shuffles over entire lens permutation array for n_shuffles times.
% Afterwards, solutions are sorted by Energy and truncated to n_truncate
@@ -6,10 +6,6 @@ function [ final_possible_lens_placement, initial_possible_lens_placement, possi
n_perms = size(lens_permutations,1);
n_shuffles=20; %number of random placements of lenses
-initial_MaxFunEvals = 1e8;
-initial_MaxIter = 10;
-final_MaxFunEvals = 1e8;
-final_MaxIter = 100;
%Initialize sample arrays
N = n_perms * n_shuffles;
@@ -18,33 +14,25 @@ possible_lens_set = zeros(N,3);
possible_sample_energy = zeros(N,1);
initial_rand_lens_placement=zeros(N,3);
+lens_size = .03; % physical size of the lens
+
for ip = 1:n_perms
f3=lens_permutations(ip,3);
x3=Ltot-f3; % last lense transfer collimated region to focused spot
for is = 1:n_shuffles
possible_lens_set((ip-1)*n_shuffles + is,:) = lens_permutations(ip,:);
- initial_rand_lens_placement_tmp = sort(lens_width+(x3-2*lens_width)*rand(1,2));
+ initial_rand_lens_placement_tmp = sort(lens_size+(x3-2*lens_size)*rand(1,2));
initial_rand_lens_placement((ip-1)*n_shuffles + is,:) = [initial_rand_lens_placement_tmp, x3];
end
end
-
-
-
parfor i = 1:N
+
fitness_simplified=@(x) fitness(q0, qf, Ltot, x, possible_lens_set(i,:), lambda );
- [ x_sol, energy ] = find_min(i, initial_rand_lens_placement, fitness_simplified, initial_MaxFunEvals, initial_MaxIter )
-
- initial_possible_lens_placement(i,:) =x_sol;
+ [x_sol, energy]=fminsearch(fitness_simplified, initial_rand_lens_placement(i,:), optimset('TolFun',1e-5,'MaxFunEvals',1e8,'MaxIter',200));
-end
-
-parfor i = 1:N
- fitness_simplified=@(x) fitness(q0, qf, Ltot, x, possible_lens_set(i,:), lambda );
- [ x_sol, energy ] = find_min(i, initial_possible_lens_placement, fitness_simplified, final_MaxFunEvals, final_MaxIter )
-
- final_possible_lens_placement(i,:) =x_sol;
+ possible_lens_placement(i,:) =x_sol;
possible_sample_energy(i) = energy;
end
diff --git a/pick_visualization.m b/pick_visualization.m
index 26bd2a6..602e509 100644
--- a/pick_visualization.m
+++ b/pick_visualization.m
@@ -1,4 +1,4 @@
-function [ ] = pick_visualization( fitness_energy, possible_lens_placement_uniq, possible_lens_placement, possible_lens_set, index, n_visualizations, q0, qf, Ltot, lambda, lens_width, display_prop )
+function [ ] = pick_visualization( fitness_energy, possible_lens_placement_uniq, possible_lens_placement, possible_lens_set, index, n_visualizations, q0, qf, Ltot, lambda )
%Picks n_visualizations of sets of data and graphs each
x0 = 0;
@@ -6,11 +6,11 @@ n_possible_lens_placement = min(n_visualizations,size(possible_lens_placement_un
for n_graph = 1:n_possible_lens_placement
figure(n_graph)
- [w_final_trial, r_final_trial] = solution_visualization(q0, x0, qf, Ltot, optics_placer(possible_lens_placement(index(n_graph),:), possible_lens_set(index(n_graph),:)), lambda, lens_width, display_prop);
+ [w_final_trial, r_final_trial] = solution_visualization(q0, x0, qf, Ltot, optics_placer(possible_lens_placement(index(n_graph),:), possible_lens_set(index(n_graph),:)), lambda);
- str1=sprintf('\n (red) f_1 = %0.4f, x_1 = %0.4f\n',possible_lens_set(index(n_graph),1),possible_lens_placement(index(n_graph),1));
- str2=sprintf(' (green) f_2 = %0.4f, x_2 = %0.4f\n',possible_lens_set(index(n_graph),2),possible_lens_placement(index(n_graph),2));
- str3=sprintf(' (blue) f_3 = %0.4f, x_3 = %0.4f\n',possible_lens_set(index(n_graph),3),possible_lens_placement(index(n_graph),3));
+ str1=sprintf('\n f_1 = %0.4f, x_1 = %0.4f\n',possible_lens_set(index(n_graph),1),possible_lens_placement(index(n_graph),1));
+ str2=sprintf('f_2 = %0.4f, x_2 = %0.4f\n',possible_lens_set(index(n_graph),2),possible_lens_placement(index(n_graph),2));
+ str3=sprintf('f_3 = %0.4f, x_3 = %0.4f\n',possible_lens_set(index(n_graph),3),possible_lens_placement(index(n_graph),3));
tstr='Solution #';
str_w = ['w_{final}= ',num2str(w_final_trial)];
str_r = [', r_{final}= ',num2str(r_final_trial)];
diff --git a/self_gbeam_propagation.m b/self_gbeam_propagation.m
index 807303c..10bcf05 100644
--- a/self_gbeam_propagation.m
+++ b/self_gbeam_propagation.m
@@ -1,4 +1,4 @@
-function [ output_args ] = self_gbeam_propagation( w0, x_lens, f, x0, lambda )
+function [ w, w_pos ] = self_gbeam_propagation( w0, x_lens, f, x0, lambda )
%SELF_GBEAM_PROPAGATION Summary of this function goes here
% Detailed explanation goes here
@@ -14,31 +14,28 @@ for i = 1:n_lens
w_pos(i+1) = x_lens(i) + s_new;
end
-x_pos= x_lens;
-x(1)=w_pos(1);
-waist_prop(1)=w(1);
-
-x_temp=linspace(x0 ,x_pos(1));
-waist_prop=[waist_prop w(1)*sqrt(1+((x_temp-w_pos(1))/(pi*w(1)^2/lambda)).^2)];
-x=[x x_temp];
-
-for i=1:n_lens
- if i == 3
- break
- end
- x_temp=linspace(x_pos(i),x_pos(i+1));
- waist_prop=[waist_prop w(i)*sqrt(1+((x_temp-w_pos(i))/(pi*w(i)^2/lambda)).^2)];
- x=[x x_temp];
-end
-
-x_temp=linspace(x_pos(end),x_pos(end)+abs(f(end)));
-waist_prop=[waist_prop w(end)*sqrt(1+((x_temp-w_pos(end))/(pi*w(end)^2/lambda)).^2)];
-x=[x x_temp];
-
-
-figure(1)
-plot(x,waist_prop,'r',x,-waist_prop,'r');
-
+% x_pos= x_lens;
+% x(1)=w_pos(1);
+% waist_prop(1)=w(1);
+%
+% x_temp=linspace(x0 ,x_pos(1));
+% waist_prop=[waist_prop, w(1)*sqrt(1+((x_temp-w_pos(1))/(pi*w(1)^2/lambda)).^2)];
+% x=[x x_temp];
+%
+% for i=1:n_lens
+% x_temp=linspace(x_pos(i),x_pos(i+1));
+% waist_prop=[waist_prop, w(i)*sqrt(1+((x_temp-w_pos(i))/(pi*w(i)^2/lambda)).^2)];
+% x=[x x_temp];
+% end
+%
+% x_temp=linspace(x_pos(end),x_pos(end)+abs(f(end)));
+% waist_prop=[waist_prop, w(end)*sqrt(1+((x_temp-w_pos(end))/(pi*w(end)^2/lambda)).^2)];
+% x=[x x_temp];
+%
+%
+% figure(1)
+% plot(x,waist_prop,'r',x,-waist_prop,'r');
+%
diff --git a/solution_visualization.m b/solution_visualization.m
index 2b4158c..2cf8ce7 100644
--- a/solution_visualization.m
+++ b/solution_visualization.m
@@ -1,19 +1,11 @@
-function [waste_at_the_end, radius_at_the_end, waist_at_lens_position] = solution_visualization(q0,x0, qf, xf, optics, lambda, lens_width, display_prop)
+function [waste_at_the_end, radius_at_the_end] = solution_visualization(q0,x0, qf, xf, optics, lambda)
%Propagates beam with given input parameters
% Forward propagation and backward propagation are taken in order to
% visualize reasonable solutions.
-%Array of lens positions
-n_lens = size(optics,2);
-
-for i = 1:n_lens
- lens_position(i) = optics{i}.x;
-end
-
x=linspace(x0,xf,1000); % we will calculate beam profile between x0 and xf
-
%Forward propagation
-q_forward =gbeam_propagation(x,q0,x0,optics);
+q_forward=gbeam_propagation(x,q0,x0,optics);
[w_forward,r_forward]=q2wr(q_forward, lambda);
%Backward propagation
@@ -21,53 +13,13 @@ q_backward=gbeam_propagation(x,qf,xf,optics);
[w_backward,r_backward]=q2wr(q_backward, lambda);
%Plot beam profile
-subplot(2,1,1); plot ( ...
- x,w_forward, '-r', ...
- x,-w_forward, '-r', ...
- x, w_backward, '-.b', ...
- x, -w_backward, '-.b')
-legend({'forward propagation', '', 'backward propagation', ''})
-
-%Find q and waist at lens positions
-waist_at_lens_position = zeros(1,n_lens);
-q_lens = zeros(1,n_lens);
-
-for i = 1:n_lens
- q_lens(i) = gbeam_propagation(lens_position(i),q0,x0,optics);
-end
-
-
-for i = 1:n_lens
- waist_at_lens_position(i) = q2wr(q_lens(i), lambda);
-end
-
-
-%Plot lenses
-color = ['m' 'g' 'c'];
-
-if display_prop(1) == 1
- for i = 1:n_lens
- half_width = lens_width/2;
- corrected_lens_position = lens_position(i)-half_width;
- corrected_waist = waist_at_lens_position(i)*2;
- rectangle('Position', [corrected_lens_position,-waist_at_lens_position(i),lens_width,corrected_waist], 'EdgeColor', color(i), 'LineWidth',1);
- end
-end
-
-if display_prop(2) == 1
- for i = 1:n_lens
- x1 = optics{i}.x;
- y1 = waist_at_lens_position(i);
- x2 = x1;
- y2 = -waist_at_lens_position(i);
-
- line([x1;x2], [y1;y2], 'LineWidth', 3, 'Color', color(i));
- end
-end
-
+plot ( ...
+ x,w_forward, '-r', ...
+ x,-w_forward, '-r', ...
+ x, w_backward, '-.b', ...
+ x, -w_backward, '-.b')
+legend({'forward propagation', '', 'backward propagation', ''})
[waste_at_the_end,radius_at_the_end] = q2wr(q_forward(end), lambda);
-
-
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-16 07:28:54 +0000