采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： p8s:g~ W
%Display the Zernike function Z(n=5,m=1) Z%GTnG|rG
clc [D5t{ [i
clear "Jjs"7
a=5;%%%%%%%%%%Z的阶数下标 sC[yI Up
b=1;%%%%%%%%%%Z的阶数的上标 3E
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x = -1:0.01:1; &z"krM]G
[X,Y] = meshgrid(x,x); bYz&P`o}
[theta,r] = cart2pol(X,Y); CG'.:` t
idx = r<=1; 9h/>QLx
z = nan(size(X)); R<i38/ ~G
z(idx) = zernfun(a,b,r(idx),theta(idx)); DK0.R]&4(
figure(1) 3] 1-M
pcolor(x,x,z), shading interp "EU{8b
axis square, colorbar 7Cjd.0T=(
xlabel('X'); rF\ "w0J_
ylabel('Y'); $A3<G-4O
title(['Zernike function Z^a_b','(r,\theta)']) ++L?+^h
figure(2) ! _2 n
mesh(x,x,z) B2Xn?i3 l
xlabel('X'); syip; ;
ylabel('Y'); Ll MpS<2NO
title(['Zernike function Z^a_b','(r,\theta)'])
