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% ##########################################
% Sample Solution
clear;
lambda= 1.064E-6 ;
Ltot= 1.010675025828971 ;
r0= 1.0E+100 ;
w0= 2.563E-5 ;
x0= 0 ;
focal_length1 = .075;
focal_length2 = .075;
focal_length3 = .203;
lns1.abcd=abcd_lens( focal_length1 ) ;
lns1.x= 0.21358727296049 ;
lns2.abcd=abcd_lens( focal_length2 ) ;
lns2.x= 0.40361319425309 ;
lns3.abcd=abcd_lens( focal_length3 ) ;
lns3.x= 0.80361319425309 ;
wf= 3.709E-5 ;
rf= 1.0E+100 ;
xf= Ltot;
q0=wr2q(w0,r0,lambda);
x0=0;
qf=wr2q(wf,rf,lambda);
xf=Ltot;
optics={lns1,lns2,lns3};
figure(1)
w_final_handmade = solution_visualization(q0,x0, qf, xf, optics, lambda);
title('Hand made');
% ##########################################
%Initialize sample arrays
sample_energy = [];
sample_x = [];
possible_soln = [];
possible_lens_pos = [];
lens_size = .03;
%Lens permutations
lens_permutations = perms( [ focal_length1, focal_length2, focal_length3 ]);
n_shuffles=10;
%Check if permutation has duplicates
lens_permutations = unique(lens_permutations,'rows');
n_perms = size(lens_permutations,1);
for i = 1:n_perms
lenses_choice=lens_permutations(i,:)
for iteration = 1:n_shuffles
optics_x_rand = sort(lens_size+(xf-2*lens_size)*rand(1,3));
fitness_simplified=@(x) fitness(q0, qf, Ltot, x, lenses_choice, lambda );
[x_sol, energy]=fminsearch(fitness_simplified, optics_x_rand, optimset('TolX',1e-8,'TolFun',1e-8,'MaxFunEvals',1e8,'MaxIter',2000));
sample_energy = [sample_energy; energy];
sample_x = [sample_x; x_sol];
%Return final Waist of trial
q_f_trial = gbeam_propagation(Ltot,q0,x0,optics_placer(x_sol, lenses_choice));
[waist, Radius] = q2wr(q_f_trial, lambda);
%If it is a good solution, add to list of possible solutions
waist_desired = wf;
compare_waist = abs(waist - waist_desired);
tolerance = 1E-6;
if compare_waist < tolerance
possible_soln = [possible_soln; x_sol];
possible_lens_pos = [possible_lens_pos; lenses_choice];
end
%Visualize solution
figure(2)
solution_visualization(q0,x0, qf, xf, optics_placer(x_sol, lenses_choice), lambda);
title('Testing Points');
drawnow;
end
end
%Display solution with lowest energy
[energy_min, index_of_energy_min] = min(sample_energy(:));
x_sol = sample_x(index_of_energy_min,:);
lenses_choice=lens_permutations(ceil(index_of_energy_min/n_shuffles),:);
figure(2)
w_final_trial = solution_visualization(q0,x0, qf, xf, optics_placer(x_sol, lenses_choice), lambda);
title('Optimized made');
%Truncate other possible solutions to an accuracy of n decimal places
n=4;
possible_soln = round(possible_soln*10^n)./10^n;
[possible_soln, index] = unique(possible_soln,'rows'); %Unique solutions only
rounded_x_sol = round(x_sol*10^n)./10^n;
remove_index = find(ismember(possible_soln, rounded_x_sol,'rows'),1);
possible_soln(remove_index,:) = [];
index(remove_index,:) = [];
%Visualize other solutions
n_possible_soln = size(possible_soln,1);
for n_graph = 1:n_possible_soln
figure(n_graph+2)
w_final_trial = solution_visualization(q0,x0, qf, xf, optics_placer(possible_soln(n_graph,:), possible_lens_pos(index(n_graph),:)), lambda);
title('Other Solutions');
end
w_final_handmade;
x_sol
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