采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 0 ~nub
%Display the Zernike function Z(n=5,m=1) 14Jkr)N
clc s !HOrhV
clear H[iR8<rhQ
a=5;%%%%%%%%%%Z的阶数下标 !o`h*G-x
b=1;%%%%%%%%%%Z的阶数的上标 ^{+_PWn
x = -1:0.01:1; 5SHZRF(. 2
[X,Y] = meshgrid(x,x); pU@ &-
[theta,r] = cart2pol(X,Y); =&?BPhJE
idx = r<=1; G + Zm
z = nan(size(X)); )m(?U
z(idx) = zernfun(a,b,r(idx),theta(idx)); jL#`CD
figure(1) b,RQ" {
pcolor(x,x,z), shading interp >o!~ T}J7
axis square, colorbar vF$sVu|B
xlabel('X'); 6t ` cY
ylabel('Y'); hdH}4W
title(['Zernike function Z^a_b','(r,\theta)']) H}}C>p"!,
figure(2) *Ag,/Cm]
mesh(x,x,z) sxU
0Fg
xlabel('X'); 10e~Yc
ylabel('Y'); Z[zRZ2'i5
title(['Zernike function Z^a_b','(r,\theta)'])
