采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： cZ2kYn 8
%Display the Zernike function Z(n=5,m=1) 8;+B*+%@n
clc -K3^BZ H I
clear *=I}Qh( 1
a=5;%%%%%%%%%%Z的阶数下标 |='z{WS
b=1;%%%%%%%%%%Z的阶数的上标 c5D)
x = -1:0.01:1; V1 3N}]
[X,Y] = meshgrid(x,x); 5E zw
~hn
[theta,r] = cart2pol(X,Y); r 0iK
idx = r<=1; S9~ +c
z = nan(size(X)); 2 vWx)Drb6
z(idx) = zernfun(a,b,r(idx),theta(idx)); zM(vr"U
figure(1) !~rY1T~
pcolor(x,x,z), shading interp ~U @;gLoD
axis square, colorbar %~E ?Z!_W
xlabel('X'); O%5
r[
ylabel('Y'); J2xw) +
title(['Zernike function Z^a_b','(r,\theta)']) vR H d&0
figure(2) \(^nSy&N
mesh(x,x,z) j;-1J_e5
xlabel('X'); g9Xu@N;bL
ylabel('Y'); vPTM
title(['Zernike function Z^a_b','(r,\theta)'])
