采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ;l>
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%Display the Zernike function Z(n=5,m=1) yi<&'L;
clc @;kw6f:{d
clear @?iLz7SPk
a=5;%%%%%%%%%%Z的阶数下标 v ~. X
b=1;%%%%%%%%%%Z的阶数的上标 (-*NRY3*
x = -1:0.01:1; r@FdxsCnGM
[X,Y] = meshgrid(x,x); Mf7Q +_!
[theta,r] = cart2pol(X,Y); }qmBn`3R
idx = r<=1; K];nM}<
z = nan(size(X)); 4O_z|K_ k|
z(idx) = zernfun(a,b,r(idx),theta(idx)); _F>1b16:/P
figure(1) vF"<r,pg
pcolor(x,x,z), shading interp `?LQd2p
axis square, colorbar 7IW:,=Zk8+
xlabel('X'); JPfNf3<@My
ylabel('Y'); \eF5* {9
title(['Zernike function Z^a_b','(r,\theta)']) B+S
& vV
figure(2) # m?GBr%k
mesh(x,x,z) jUt rFl
xlabel('X'); ;~T)pG8IS
ylabel('Y'); _'<V<OjVM!
title(['Zernike function Z^a_b','(r,\theta)'])
