采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： >eWORf>7
%Display the Zernike function Z(n=5,m=1) O4cBn{Dq9
clc B9wQ;[gQB
clear T>|Y_3YO_a
a=5;%%%%%%%%%%Z的阶数下标 N , ,[V
b=1;%%%%%%%%%%Z的阶数的上标 XZ<8M}Lg
x = -1:0.01:1; |$C fm}
[X,Y] = meshgrid(x,x); u{ cb[M
[theta,r] = cart2pol(X,Y); v0( _4U]/
idx = r<=1; 8p#V4liE
z = nan(size(X)); (6i4N2
z(idx) = zernfun(a,b,r(idx),theta(idx)); =@D H hg
figure(1) b!qlucA eE
pcolor(x,x,z), shading interp _ BoA&Ism
axis square, colorbar 9&zQ 5L>
xlabel('X'); q ,+29
ylabel('Y'); XUA %3Xr
title(['Zernike function Z^a_b','(r,\theta)']) q|
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figure(2) uR.`8s |
mesh(x,x,z) y+
4#Iy
xlabel('X'); o$ #q/L
ylabel('Y'); vDyGxU!#\
title(['Zernike function Z^a_b','(r,\theta)'])
