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function [Energy, Waist, Penalty] = fitness( q_0, q_final, x_final, optics_positions, optics_focal_length, lambda )
%FITNESS Summary of this function goes here
% Detailed explanation goes here
x0 = 0;
Np=20;
x=linspace(x0,x_final,Np);
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;
Penalty_waist_mismatch = 0*Penalty_waist_mismatch + 1e9*sum(abs((Waist_trial_forward-Waist_trial_backward)))/Np;
Penalty_radius_mismatch = sum(abs((Radius_trial_forward-Radius_trial_backward)./max(Radius_trial_forward, Radius_trial_backward)))/Np;
Energy = 0*Penalty_radius_mismatch + Penalty_waist_mismatch;
% penalty calculation
% do not put lenses too close to each other and end positions
lens_size=0.03;
x1=optics_positions(1);
x2=optics_positions(2);
x3=optics_positions(3);
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
%intialize intermediate points between lenses
intermediate_positions = linspace(optics_positions(2), optics_positions(3),10);
f_q_x = @(x) gbeam_propagation(x,q_0,x0,optics_placer(optics_positions, optics_focal_length));
q_intermediate = arrayfun(f_q_x,intermediate_positions);
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_too_closely_spaced; penalty_not_collimated_beam];
end
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