采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 7B s:u
%Display the Zernike function Z(n=5,m=1) Uw5AHq).
clc TRzL":
clear XN %tcaY
a=5;%%%%%%%%%%Z的阶数下标 f2 .|[
b=1;%%%%%%%%%%Z的阶数的上标 t4[<N
x = -1:0.01:1; [L`w nP
[X,Y] = meshgrid(x,x); )1iqM]~;B
[theta,r] = cart2pol(X,Y); `c.P`@KA
idx = r<=1; LE]mguvs
z = nan(size(X)); ~/m=Q<cV
z(idx) = zernfun(a,b,r(idx),theta(idx)); 8kYI ~
figure(1) O;8 3A
pcolor(x,x,z), shading interp ApSzkPv*
axis square, colorbar zkb[u"
xlabel('X'); Mv_-JE9#>o
ylabel('Y'); oUNuM%g9Dy
title(['Zernike function Z^a_b','(r,\theta)']) <; P40jDL
figure(2) Q4e+vBECkq
mesh(x,x,z) HF;$Wf+=J
xlabel('X'); q<Z`<e
ylabel('Y'); }BN!Xa
title(['Zernike function Z^a_b','(r,\theta)'])
