采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： G
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%Display the Zernike function Z(n=5,m=1) D{9a'0J
clc MVatV[G
clear QE<Z@/V*a
a=5;%%%%%%%%%%Z的阶数下标
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b=1;%%%%%%%%%%Z的阶数的上标 I2}W /}
x = -1:0.01:1; N,t9X7G&
[X,Y] = meshgrid(x,x); KbJ6U75|f
[theta,r] = cart2pol(X,Y); rcnH ^P
idx = r<=1; PZ[-a-p40
z = nan(size(X)); ZvY"yl ?e
z(idx) = zernfun(a,b,r(idx),theta(idx)); U#<d",I
figure(1) fif;n[<
pcolor(x,x,z), shading interp +]l?JKV
axis square, colorbar YOxgpQ:i
xlabel('X'); FlO?E3d
ylabel('Y'); SX3'|'-
title(['Zernike function Z^a_b','(r,\theta)']) EPo)7<|>
figure(2) 8)B{x[?|
mesh(x,x,z) X)g
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xlabel('X'); A#>wbHjWF
ylabel('Y'); ]+lT*6P*
title(['Zernike function Z^a_b','(r,\theta)'])
