采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： dBb
&sA-A
%Display the Zernike function Z(n=5,m=1) 6R'z3[K9
clc ? )V|L~/
clear ./i 5VBP5
a=5;%%%%%%%%%%Z的阶数下标 tYUg%2G
b=1;%%%%%%%%%%Z的阶数的上标 vp&N)t_
x = -1:0.01:1; `;HZO8
[X,Y] = meshgrid(x,x); &1Cif$Y4w
[theta,r] = cart2pol(X,Y); ^`+Kjhht
idx = r<=1; a%*W(
4=Y
z = nan(size(X)); j^6,V\;l
z(idx) = zernfun(a,b,r(idx),theta(idx)); =k\Qx),Ir
figure(1) E>i sl"
pcolor(x,x,z), shading interp ]Wg&r Y0
axis square, colorbar #7Jvk_r9Y
xlabel('X'); r< OqI*7
ylabel('Y'); M~l\rg8
title(['Zernike function Z^a_b','(r,\theta)']) `dJ?j[P,p
figure(2) V i<6i0
mesh(x,x,z) z `:tl 7
xlabel('X'); 5gKXe4}\/|
ylabel('Y'); 3DOc,}nI~@
title(['Zernike function Z^a_b','(r,\theta)'])
