采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 5 ]:fkx
%Display the Zernike function Z(n=5,m=1) 8|.( Y
clc 'C]zB'H=
clear &dp(CH<De
a=5;%%%%%%%%%%Z的阶数下标 ib /B!?/
b=1;%%%%%%%%%%Z的阶数的上标 br .jj
x = -1:0.01:1; T?N' k=
[X,Y] = meshgrid(x,x); puG$\D-[
[theta,r] = cart2pol(X,Y); ^D S9D:oE
idx = r<=1; ,+3l9F uQ
z = nan(size(X)); y>'^<xk
z(idx) = zernfun(a,b,r(idx),theta(idx)); W @Y$ !V<
figure(1) {# ; e{v
pcolor(x,x,z), shading interp -\b~ R7VQ
axis square, colorbar ?5K. #>{
xlabel('X'); =O?<WJoK
ylabel('Y'); 9` f]Rf"
title(['Zernike function Z^a_b','(r,\theta)']) bU/5ug.
figure(2) 12gcma }
mesh(x,x,z) bLUn>ch
xlabel('X'); ~e@ QJ=r
ylabel('Y'); n,hHh=.Fu
title(['Zernike function Z^a_b','(r,\theta)'])
