采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: I|Oco?Q"
%Display the Zernike function Z(n=5,m=1) |7qt/z
clc "r9Rr_,
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clear 82r8K|L.<y
a=5;%%%%%%%%%%Z的阶数下标 a3@E`Z
b=1;%%%%%%%%%%Z的阶数的上标 M<vPE4TIr*
x = -1:0.01:1; PTQ#8(_,
[X,Y] = meshgrid(x,x); "-~7lY%
[theta,r] = cart2pol(X,Y); [h/T IGE\
idx = r<=1; B
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z = nan(size(X)); lSxb:$g
z(idx) = zernfun(a,b,r(idx),theta(idx)); [&)]-2w2
figure(1) LgqQr6y"
pcolor(x,x,z), shading interp r/Y J, 2!
axis square, colorbar akj<*,
xlabel('X'); spEdq}
ylabel('Y'); ci0A!wWD
title(['Zernike function Z^a_b','(r,\theta)']) kK6OZhLH
figure(2) 'p@f5[t
mesh(x,x,z) ^_2c\mw_I
xlabel('X'); I2Xd"RHN
ylabel('Y'); 0=Z[6Q@:
title(['Zernike function Z^a_b','(r,\theta)'])