function [ output_args ] = self_gbeam_propagation( w0, x_lens, f, x0, lambda )
%SELF_GBEAM_PROPAGATION Summary of this function goes here
%   Detailed explanation goes here

n_lens = 3;

w = w0;
w_pos = x0;

for i = 1:n_lens
    x_from_next_lens = x_lens(i) - w_pos(i);
    [w_new, s_new] = gaussian_focus(w(i), x_from_next_lens, f(i), lambda);
    w(i+1) = w_new;
    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'); 






end