采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Lb;zBmwB
%Display the Zernike function Z(n=5,m=1) %Eb%V ($
clc _<a7CCg
clear cU{e`<xjA
a=5;%%%%%%%%%%Z的阶数下标 F%i^XA]a*
b=1;%%%%%%%%%%Z的阶数的上标 -8r
x = -1:0.01:1; iXjo[Rz^C
[X,Y] = meshgrid(x,x); A,%C,*)Cg
[theta,r] = cart2pol(X,Y); ;QW3CEaUq
idx = r<=1; AtF3%Zv2
z = nan(size(X)); ,z;ky5Ct
z(idx) = zernfun(a,b,r(idx),theta(idx)); aYuD>rD
figure(1) zX0mdx<|<
pcolor(x,x,z), shading interp 4'-|UPhx
axis square, colorbar Si_%Rr&jW
xlabel('X'); taFn![}/!g
ylabel('Y'); :JfE QIN
title(['Zernike function Z^a_b','(r,\theta)']) 9G{;?c
figure(2) D\[h:8k
mesh(x,x,z) 6KVnnK
xlabel('X'); E<C&Cjz:H
ylabel('Y'); E2cB U{x
title(['Zernike function Z^a_b','(r,\theta)'])