采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: {+@bZ}57
%Display the Zernike function Z(n=5,m=1) q?ix$nKOv
clc S1?-I_t+]
clear ',S'.U
a=5;%%%%%%%%%%Z的阶数下标 NrJKbk^4u/
b=1;%%%%%%%%%%Z的阶数的上标 @|tL8?
x = -1:0.01:1; ~JH:EB:
[X,Y] = meshgrid(x,x); to$h2#i_
[theta,r] = cart2pol(X,Y); @i*|s~15
idx = r<=1; Y(d$
z = nan(size(X)); pt}X>ph{
z(idx) = zernfun(a,b,r(idx),theta(idx)); f1(+
bE%
figure(1) jNC4_q&
pcolor(x,x,z), shading interp 0MdDXG-7
axis square, colorbar 'Un" rts
xlabel('X'); eET}r24
ylabel('Y'); GbaEgA'fa
title(['Zernike function Z^a_b','(r,\theta)']) @#-q^}3
figure(2) $81*^
mesh(x,x,z) `FC(
xlabel('X'); HC}YY2
ylabel('Y'); J`^I./
title(['Zernike function Z^a_b','(r,\theta)'])