采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Mf?4 `LM
%Display the Zernike function Z(n=5,m=1) mWZVO,t$
clc kY|<1Ht
clear #N*~Q
a=5;%%%%%%%%%%Z的阶数下标 ,\VNs'j
b=1;%%%%%%%%%%Z的阶数的上标 cB|](gWS~
x = -1:0.01:1; W_?S^>?l/
[X,Y] = meshgrid(x,x); \eN }V
[theta,r] = cart2pol(X,Y); Ox58L>:0m
idx = r<=1; uJi|@{V
z = nan(size(X)); b( wiJ&t
z(idx) = zernfun(a,b,r(idx),theta(idx)); E]bjI$j
figure(1) C3|M\[*fp
pcolor(x,x,z), shading interp ^+-i7`|=
axis square, colorbar \5Hfe;ny-~
xlabel('X'); 4]Krx
m`8
ylabel('Y'); %.]qkGZe#
title(['Zernike function Z^a_b','(r,\theta)']) 8kk$:8
figure(2) K1Uur>Pk%
mesh(x,x,z) d35 ,[
xlabel('X'); S^ 3I" B
ylabel('Y'); zH.7!jeE
title(['Zernike function Z^a_b','(r,\theta)'])