采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： *{p& Fy55
%Display the Zernike function Z(n=5,m=1) O ]4
x;`)
clc 1SJHX1CxX
clear 4|o{_g[
a=5;%%%%%%%%%%Z的阶数下标 `sp'Cl!
b=1;%%%%%%%%%%Z的阶数的上标 (qc!-Isd~[
x = -1:0.01:1; ePcI^}{
[X,Y] = meshgrid(x,x); %imBGh
[theta,r] = cart2pol(X,Y); %n`iA7j$W
idx = r<=1; FoelOq6
z = nan(size(X)); W U4vb
z(idx) = zernfun(a,b,r(idx),theta(idx)); /IQ-|Qkg
figure(1) rsIPI69qJ.
pcolor(x,x,z), shading interp BNKo6:wy
axis square, colorbar 3M:B?2
xlabel('X'); Z?j= '/u>@
ylabel('Y'); G<WDyoN=O
title(['Zernike function Z^a_b','(r,\theta)']) _F$t#.o
figure(2) Nz;*;BQK:
mesh(x,x,z) @xM !:
xlabel('X'); JgjL$n; F
ylabel('Y'); OB
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title(['Zernike function Z^a_b','(r,\theta)'])
