% Illustration of Snell's law
function main()
n1=1.0;
n2=1.5;
figure(1); clf; hold on; axis equal; axis off;
sign = -1;% is the source up or down?
O=[0, -1*sign];
k=500;
% KSmrq's colors
red = [0.867 0.06 0.14];
blue = [0, 129, 205]/256;
green = [0, 200, 70]/256;
yellow = [254, 194, 0]/256;
white = 0.99*[1, 1, 1];
black = [0, 0, 0];
gray = 0.5*white;
color1=red;
color2=blue;
color3=gray;
lw = 4;
plot_line=0;
Theta=linspace(0, 2*pi, k);
V=0*Theta; W=0*Theta;
S0=4;
spacing=0.45;
p=floor(S0/spacing);
S=linspace(0, S0, p+1)+0.1*spacing;
% plot the interface between diellectrics
L=3.8;
plot([-L, L], [0, 0], 'color', color3, 'linewidth', lw);
% plot a ray
plot_line=1;
s=5.2;
theta=pi/3; wfr(s, theta, n1, n2, O, sign, plot_line, color1, lw);
% plot the wafefronts
plot_line=0;
for i=1:p
for j=1:k
s=S(i);
theta=Theta(j);
[V(j), W(j)]=wfr(s, theta, n1, n2, O, sign, plot_line, color1, lw);
end
plot(V, W, 'color', color2, 'linewidth', lw);
end
% dummy point to enlarge the bounding box
plot(0, S0+1.5*spacing, '*', 'color', white);
saveas(gcf, 'Snells_law_wavefronts.eps', 'psc2')
function [a, b]=wfr(s, theta, n1, n2, O, sign, plot_line, color1, lw);
X=O+s*[sin(theta), sign*cos(theta)];
if( sign*X(2) > 0 )
t=-sign*O(2)/cos(theta);
X0=O+t*[sin(theta), sign*cos(theta)];
if (plot_line == 1)
plot([O(1), X0(1)], [O(2), X0(2)], 'color', color1, 'linewidth', lw, 'linestyle', '--');
end
d = norm(O-X0);
r = (s-d)*(n2/n1)^(sign);
theta2=asin(n1*sin(theta)/n2);
XE=X0+r*[sin(theta2), sign*cos(theta2)];
else
XE = X;
end
a = XE(1);
b = XE(2);
if (plot_line==1)
plot([X0(1), XE(1)], [X0(2), XE(2)], 'color', color1, 'linewidth', lw, 'linestyle', '--');
end