采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: H[hJUR+#
%Display the Zernike function Z(n=5,m=1) lC#wh2B6
clc jVnTpa!A
clear |^-D&C(Eu
a=5;%%%%%%%%%%Z的阶数下标 ,^G+<T6
b=1;%%%%%%%%%%Z的阶数的上标 H/{@eaV
x = -1:0.01:1; Bg),Q8\I
[X,Y] = meshgrid(x,x); ntH`\ )xi
[theta,r] = cart2pol(X,Y); lPZ>#
idx = r<=1; }@HgF M"
z = nan(size(X)); :j`f%Vg~x
z(idx) = zernfun(a,b,r(idx),theta(idx)); `"65 _?B i
figure(1) ^gcB+
pcolor(x,x,z), shading interp 32K& IfV
axis square, colorbar X[$h &]
xlabel('X'); YA
pC|R,^
ylabel('Y'); "9P @bA
title(['Zernike function Z^a_b','(r,\theta)']) 4tkT\.
figure(2) KD A8x W
mesh(x,x,z) HK :K~h
xlabel('X'); /!0&b?
ylabel('Y'); +#,J`fV%
title(['Zernike function Z^a_b','(r,\theta)'])