采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： yn&AMq
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%Display the Zernike function Z(n=5,m=1) |,zcrOo]
clc sj;8[Xy's
clear Q `$Q(/
a=5;%%%%%%%%%%Z的阶数下标 ao NTRJ c$
b=1;%%%%%%%%%%Z的阶数的上标 VAkZ@
u3'~
x = -1:0.01:1; 3$Ecq|4J:
[X,Y] = meshgrid(x,x); ^qNh)?V?]I
[theta,r] = cart2pol(X,Y); Wtl0qug
idx = r<=1; ;zy[xg.7
z = nan(size(X)); =)Z!qjf1U
z(idx) = zernfun(a,b,r(idx),theta(idx)); O6rrv,+_L
figure(1) *"rgK|CM$
pcolor(x,x,z), shading interp 1d4 9z9F
axis square, colorbar yX: A?U
xlabel('X'); "=~P &Mi_
ylabel('Y'); .ZSG nbJ
title(['Zernike function Z^a_b','(r,\theta)']) .<`W2*1
figure(2) -$pS
{q;
mesh(x,x,z) &cj/8 A5-
xlabel('X'); oicett=5
ylabel('Y'); {0(:7IY,
title(['Zernike function Z^a_b','(r,\theta)'])
