采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： xrXfLujn%
%Display the Zernike function Z(n=5,m=1) Gr&)5hm$
clc /K@_O\+;Q
clear 8)NQt$lWp
a=5;%%%%%%%%%%Z的阶数下标 feSj3,<!
b=1;%%%%%%%%%%Z的阶数的上标 4
8}\
x = -1:0.01:1; ZFJ qI
[X,Y] = meshgrid(x,x); _3;vir%)
[theta,r] = cart2pol(X,Y); K5h2 ~
idx = r<=1; (i 3=XfZ!C
z = nan(size(X)); ^|P/D
z(idx) = zernfun(a,b,r(idx),theta(idx)); prdlV)LTpY
figure(1) RF#S=X 6
pcolor(x,x,z), shading interp z;V Ai=m
q
axis square, colorbar @`IMR$'
xlabel('X'); PsV1btq]
ylabel('Y'); 1-h"1UN2E
title(['Zernike function Z^a_b','(r,\theta)']) Y`U[Y Hx
figure(2) Xf "B\%,(`
mesh(x,x,z) +s`HTf
xlabel('X'); +(pFU\&U3H
ylabel('Y'); h &k*i
title(['Zernike function Z^a_b','(r,\theta)'])
