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OpticalSystem.m
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OpticalSystem.m
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% OpticalSystem.m
% Fundamental class for optical system
%
% properties
% object object plane
% surfaceList inner surfaces
% imagePlane image plane
% stop stop surface
%
classdef OpticalSystem < handle
properties
stop;
aperture;
fov;
wvl;
description='New Lens';
end
properties(private)
object = Surface;
surfaceList = Surface;
imagePlane = Surface;
end
properties (GetAccess= public, SetAccess= protected)
% entrance pupil
pupil;
end
properties (Dependent)
surfaceCount;
fieldCount;
wavelengthCount;
maxField;
efl;
fno;
end
methods
function self = OpticalSystem()
% constructor
%
if nargin == 0
self.surfaceList(1) = Surface();
self.stop = 1;
self.aperture.type = 'FNO';
self.aperture.value = 3.0;
%self.setAperture('FNO', 3);
self.fov.type ='Angle';
self.fov.data = Field;
self.wvl.data = [Spectral.C, Spectral.d, Spectral.F];
self.wvl.color = {'r','k', 'c'};
self.wvl.primary = 2;
end
end
function val = get.surfaceCount(self)
val = size(self.surfaceList,1);
end
function val = get.fieldCount(self)
val = size(self.fov.data,2);
end
function val = get.wavelengthCount(self)
val = size(self.wvl.data,2);
end
function val = get.efl(self)
abcd = self.ABCD(1, self.surfaceCount);
val = -1/abcd(1,2);
end
function val = get.fno(self)
val = self.efl/self.pupil.diameter;
end
function val = get.maxField(self)
val = 0.0;
for i = 1 : self.fieldCount
if (val < self.fov.data(i).y)
val = self.fov.data(i).y;
end
end
end
function disp(self)
% disp
% Display system data
% override function of 'disp'
%
fprintf('Description: %s\n', self.description);
fprintf('Focal Length: %f\n', self.efl);
fprintf('Entrance Pupil Diameter: %f\n', self.pupil.diameter);
fprintf('Entrance Pupil Distance: %f\n', self.pupil.distance);
fprintf('F/# : %f\n', self.fno);
fprintf('---\n');
fprintf('System Configuration\n');
fprintf('Field of View : %s\n', self.fov.type);
for i = 1:self.fieldCount
fprintf(' F%d : %f %f\n',i, self.field(i).x, self.field(i).y);
end
fprintf('Wavelength\n');
for i = 1: self.wavelengthCount
fprintf(' W%d : %f\n', i, self.wvl.data(i));
end
fprintf('---\n');
fprintf('System Data:\n');
fprintf('%2s %12s %12s %12s\n', 'S', 'R', 'D', 'N');
for i = 1:size(self.surfaceList)
s = self.surfaceList(i);
fprintf('%2d %12f %12f %12f\n',i, s.radius, s.distance, s.material.nd);
end
end
function s = surface(self, n=1)
%
% surface aliase
%
if n < 1
s = self.object;
elseif n > self.surfaceCount
s = self.imagePlane;
else
s = self.surfaceList(n);
end
end
function f = field(self, n=1)
%
% field aliase
%
f = self.fov.data(n);
end
function self = addSurface(self, r= Inf, d= 0.0, m= Material(), ap= Inf)
s = Surface(r,d,m,ap);
row = size(self.surfaceList,1);
self.surfaceList(row+1,1) = s;
end
function self = setFieldOfView(self, fldType= 'Angle', flds= [], colors=[])
self.fov.type = fldType;
for i=1:size(flds,2)
self.fov.data(i).y = flds(i);
self.fov.data(i).chiefRayDirection = [0, sin(deg2rad(flds(i))), cos(deg2rad(flds(i)))];
self.fov.data(i).color = colors{i};
end
end
function self = setWavelength(self, wvls=[], colors={}, primary=2)
self.wvl.data = wvls;
self.wvl.color = colors;
self.wvl.primary = 2;
end
function self = setAperture(self, apeType = 'FNO', val = 2.0)
self.aperture.type = apeType;
self.aperture.value = val;
if apeType == 'FNO'
abcd = self.ABCD(1, self.surfaceCount);
efl = -1/abcd(1,2);
self.pupil.diameter = efl/self.aperture.value;
elseif apeType == 'EPD'
self.pupil.diameter = val;
%else if apeType == 'STO'
% set aperture to stop surface
end
% update pupil position
if self.stop == 1
self.pupil.distance = 0;
else
abcd = self.ABCD(1,self.stop);
% [nu; y] at first surface
nuy1 = inv(abcd)*[-1;0];
self.pupil.distance = -nuy1(2)/nuy1(1);
end
end
function self = setStop(self, nsto=1)
self.stop = nsto;
end
function self = setVignetting(self)
%
% set vignetting factor
%
% Not confident on this implementation, shoul search references
%
eps = 0.001;
for f = 1:self.fieldCount
% reset
self.fov.data(f).vdy = 0;
self.fov.data(f).vcy = 0;
self.fov.data(f).vdx = 0;
self.fov.data(f).vcx = 0;
% upper marginal
k = 0;
pa = 0.0;
pb = 1.0;
while 1
k = k+1;
pm = (pb+pa)/2;
[r,pass] = raytrace(self,0.0,pm,f,2);
if pass
pa = pm;
else
pb = pm;
end
if or((pb-pa) < eps, k > 20)
break;
end
end
yum = (pb+pa)/2;
% lower marginal
k = 0;
pa = 0.0;
pb = -1.0;
while 1
k = k+1;
pm = (pb+pa)/2;
[r,pass] = raytrace(self,0.0,pm,f,2);
if pass
pa = pm;
else
pb = pm;
end
if or((pa-pb) < eps, k > 20)
break;
end
end
ylm = (pb+pa)/2;
self.fov.data(f).vdy = (yum+ylm)/2;
self.fov.data(f).vcy = 1-(yum-ylm)/2;
% sagittal
% upper marginal
k = 0;
pa = 0.0;
pb = 1.0;
while 1
k = k+1;
pm = (pb+pa)/2;
[r,pass] = raytrace(self,pm,0.0,f,2);
if pass
pa = pm;
else
pb = pm;
end
if or((pb-pa) < eps, k > 20)
break;
end
end
xum = (pb+pa)/2;
% lower marginal
k = 0;
pa = 0.0;
pb = -1.0;
while 1
k = k+1;
pm = (pb+pa)/2;
[r,pass] = raytrace(self,pm,0.0,f,2);
if pass
pa = pm;
else
pb = pm;
end
if or((pa-pb) < eps, k > 20)
break;
end
end
xlm = (pb+pa)/2;
self.fov.data(f).vdx = (xum+xlm)/2;
self.fov.data(f).vcx = 1-(xum-xlm)/2;
% set reference rays
self.fov.data(f).ray2 = raytrace(self,0.0, 1.0,f,self.wvl.primary);
self.fov.data(f).ray3 = raytrace(self,0.0,-1.0,f,self.wvl.primary);
self.fov.data(f).ray1 = raytrace(self,0.0, 0.0,f,self.wvl.primary);
% search chief ray
end
end
function M = ABCD(self, s1, s2)
%
% calculate ABCD matrix
%
% Usage
% T = ABCD(s1,s2)
%
% Input
% s1 start surface number
% s2 end surface number
%
if s1 == s2
M = eye(2);
else
wvlmicron = self.wvl.data(self.wvl.primary)/1000;
M = eye(2);
k = s2;
c = self.surface(k).curvature;
t = self.surface(k).distance;
nin = self.surface(k-1).material.index(wvlmicron);
nout = self.surface(k).material.index(wvlmicron);
phi = (nout - nin)*c;
RefM = [1 -phi;0 1];
M = RefM*M;
for k = (s2-1):-1:s1
c = self.surface(k).curvature;
t = self.surface(k).distance;
nin = self.surface(k-1).material.index(wvlmicron);
nout = self.surface(k).material.index(wvlmicron);
phi = (nout - nin)*c;
% refract at i
RefM = [1 -phi; 0 1];
% transfer from (i-1) to i
TrnsM = [1 0; t/nout 1];
M = M*TrnsM * RefM;
end
end % end if
end
function oal = track(self, s1, s2)
% track
% Return on-axis length from s1 to s2
%
oal = 0;
if s1 < s2
for i = s1:s2-1
oal = oal + self.surface(i).distance;
end
end
end
end % end methods
end % end class