采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： _S7M5{U_
%Display the Zernike function Z(n=5,m=1) k kuQ"^<J
clc t.i9!'Y ]
clear DG%%]
a=5;%%%%%%%%%%Z的阶数下标 T W;;OS[
b=1;%%%%%%%%%%Z的阶数的上标 WSX@0A.&)
x = -1:0.01:1; g {f >j d
[X,Y] = meshgrid(x,x); Z6
|'k:R8
[theta,r] = cart2pol(X,Y); d$C|hT
idx = r<=1; I}CA-8
z = nan(size(X)); P(gID
z(idx) = zernfun(a,b,r(idx),theta(idx)); R< YY f^y
figure(1) GzE3B';g
pcolor(x,x,z), shading interp
{83He@
axis square, colorbar P+c Fp7nC
xlabel('X'); 2wim P8
ylabel('Y'); 9G\3 hL ]
title(['Zernike function Z^a_b','(r,\theta)']) q@!H^hd}
figure(2) GeW$lA I
mesh(x,x,z) U=<.P;+f9
xlabel('X'); as47eZ0\
ylabel('Y'); ~{tZ ;YZ
title(['Zernike function Z^a_b','(r,\theta)'])
