采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： lV: R8^d
%Display the Zernike function Z(n=5,m=1) R)"Ds} 1G
clc ( YF`#v6
clear F``$}]9KHD
a=5;%%%%%%%%%%Z的阶数下标 ~z$ vF
b=1;%%%%%%%%%%Z的阶数的上标 1D&Q{?RM
x = -1:0.01:1; %kS +n_*
[X,Y] = meshgrid(x,x); YQv N;W
[theta,r] = cart2pol(X,Y); y 5 $h
idx = r<=1; ZWQrG'$?o8
z = nan(size(X)); +N: K V}K
z(idx) = zernfun(a,b,r(idx),theta(idx)); yjaX\Wb[z[
figure(1) !s0 6uh
pcolor(x,x,z), shading interp
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axis square, colorbar Wp`wIe6
xlabel('X'); {1;j1|CI
ylabel('Y'); X(U
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title(['Zernike function Z^a_b','(r,\theta)']) oJ\U F S
figure(2) d>*?C!xE
mesh(x,x,z)
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xlabel('X'); w7 cciD|
ylabel('Y'); MU4/arXy
title(['Zernike function Z^a_b','(r,\theta)'])
