采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 7%f&M>/
%Display the Zernike function Z(n=5,m=1) kF(n!2"W
clc 0:w "M< 80
clear M?m,EQh.
a=5;%%%%%%%%%%Z的阶数下标 1W7% 1 FA
b=1;%%%%%%%%%%Z的阶数的上标 Ar*^ ; /
x = -1:0.01:1; `F<jLU^3
[X,Y] = meshgrid(x,x); ,XDRO./+T
[theta,r] = cart2pol(X,Y); W-NDBP:
idx = r<=1; Q></`QWpoB
z = nan(size(X)); / 0 O= (
z(idx) = zernfun(a,b,r(idx),theta(idx)); p
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figure(1) )nL`H^
pcolor(x,x,z), shading interp ^8.]d~j
axis square, colorbar >B]'fUt5a
xlabel('X'); I:K"'R^
ylabel('Y'); ^[:p|U2mA
title(['Zernike function Z^a_b','(r,\theta)']) !;?+>R)h
figure(2) cufH?Xg<
mesh(x,x,z) M5gWD==uP
xlabel('X'); |$?bc3
ylabel('Y'); `tP 7ncky
title(['Zernike function Z^a_b','(r,\theta)'])
