采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： s-Tv8goNV
%Display the Zernike function Z(n=5,m=1) wc4{)qDE
clc `l[c_%Bm
clear xO mi\VbM
a=5;%%%%%%%%%%Z的阶数下标 KRRdX x\~
b=1;%%%%%%%%%%Z的阶数的上标 ;$wVu|&
x = -1:0.01:1; m&,(Jla
[X,Y] = meshgrid(x,x); Z=o2H Bm7
[theta,r] = cart2pol(X,Y); z$. 88 ^
idx = r<=1; qfm|@v|De5
z = nan(size(X)); y?? XIsF
z(idx) = zernfun(a,b,r(idx),theta(idx)); WP'!*[z
figure(1) YPk fx
pcolor(x,x,z), shading interp
dkTX
axis square, colorbar -C]5>& W
xlabel('X'); jm/`iXnMf
ylabel('Y'); bK&+5t&
title(['Zernike function Z^a_b','(r,\theta)']) eru.m+\
figure(2) K is"L(C
mesh(x,x,z) SoK
i E
xlabel('X'); {cVEmvE8
ylabel('Y'); Iit; F
title(['Zernike function Z^a_b','(r,\theta)'])
