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function [Energy, Waist, Penalty] = fitness( q_0, q_final, x_final, optics_positions, optics_focal_length, lambda )
%Outputs fitness of suggested solution
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;
%
% penalty calculation
% do not put lenses too close to each other and end positions
lens_size=0.03;
d(1)=abs(x1-x2);
d(2)=abs(x2-x3);
d(3)=abs(x1-x3);
d_from_start=abs(x0-optics_positions);
d_from_end=abs(x_final-optics_positions);
d=cat(2, d, d_from_start, d_from_end);
coef = 1;
penalty_lenses_too_closely_spaced =coef*sum( exp(-(d/(lens_size)).^12) );
Energy = Energy + penalty_lenses_too_closely_spaced;
% make sure that lenses are between ends
d_from_start=(x0-optics_positions);
d_from_end=(optics_positions-x_final);
d = cat(2, d_from_start, d_from_end);
coef = 1e-2;
distance_scaling=100;
penalty_lenses_outside_optical_path = coef * sum(1 + tanh(distance_scaling*d));
Energy = Energy + penalty_lenses_outside_optical_path;
% make collimated region between 2nd and 3rd lens
[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;
% % 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
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