8/7/15 yesterday Scott helped me through the math of how we going to find out where focal point should be when we shoot a laser at the Big Display wafer while sending in a chirped signal. The code/math we used is documented below, with “%” denoting a comment. The graph the is plotted shows the focal point in mm.

  clear all;
  L_mirror = 2.5; %in mm. L_mirror (length of the mirror on the wafer) 
  in_angle = 20*pi/180 % must be in radians
  current_pos = L_mirror.*(1-[0:.1:1]); %"current_pos" is the y-intercept.
  out_angle = asin(635e-6.*[50e6:10e6:150e6]./3900000 + sin(in_angle));
  %defraction equation for out_angle taken from the textbook "Holographic
  %Imaging" by Stephen A. Benton and V. Michael Bove Jr., Chapter 8 pg. 78
  %equation 8. Equation is sin(out_angle) = wavelength*frequency + sin(in_angle);
  current_slope = tan(out_angle);
  x = [0:1000];
  for i=[1:11]
      y(i,:) = current_slope(i).*x + current_pos(i);
      %y = mx + b
  end
  plot(x,y);
  %the higher the frequency, the higher the out_angle
  %the greater the range of frequencies, the shorter the focal length.
  %the lower the frequency, the shorter the focal length
  %as L_mirror goes down, f_length goes down