采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： $"/UK3|d
%Display the Zernike function Z(n=5,m=1) yb69Q#V2
clc ~D*b3K 8X
clear X2i*iW<
a=5;%%%%%%%%%%Z的阶数下标 |pBMrN+is
b=1;%%%%%%%%%%Z的阶数的上标 &j3`
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x = -1:0.01:1; nl aG<L#
[X,Y] = meshgrid(x,x); I=U+GY:
[theta,r] = cart2pol(X,Y); 8B j4 _!g
idx = r<=1; kzMa+(fu
z = nan(size(X)); 4 ^4d9?c
z(idx) = zernfun(a,b,r(idx),theta(idx)); i[PvDv"n
figure(1) o\&~CW~@~
pcolor(x,x,z), shading interp C9o$9 l+B
axis square, colorbar WPtMds4
xlabel('X'); Og=[4?Kpk
ylabel('Y'); {wcO[bN
title(['Zernike function Z^a_b','(r,\theta)']) J6DnPaw-G
figure(2) Sobtz}A*
mesh(x,x,z) d`85P+Qen|
xlabel('X');
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ylabel('Y'); mqdO u{kQ
title(['Zernike function Z^a_b','(r,\theta)'])
