采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： c\A
4-08
%Display the Zernike function Z(n=5,m=1) uH*moVw@5
clc 8J|2b; Vf
clear U9"g;t+/
a=5;%%%%%%%%%%Z的阶数下标 Qw>~] d,Z
b=1;%%%%%%%%%%Z的阶数的上标 _ L ?MYk D
x = -1:0.01:1; j.=&qYc0"
[X,Y] = meshgrid(x,x); r@")MOGc
[theta,r] = cart2pol(X,Y); H iAj3
idx = r<=1; slUnB6@Q
z = nan(size(X)); sg YPR
z(idx) = zernfun(a,b,r(idx),theta(idx)); jW]Q-
figure(1) 3dO~Na`S
pcolor(x,x,z), shading interp ;] v{3m
axis square, colorbar uuHg=8(
xlabel('X'); &/dYJv$[9
ylabel('Y'); "&Q sv-9t
title(['Zernike function Z^a_b','(r,\theta)']) hTfq>jIB_
figure(2) r2ZSkP.
mesh(x,x,z) 5&)T[Q X`
xlabel('X'); pLYLHS`*
ylabel('Y'); e= { ?d6
title(['Zernike function Z^a_b','(r,\theta)'])
