采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Zo`_vx/{j
%Display the Zernike function Z(n=5,m=1) !:baG]Y
clc _59f.FsVR
clear "rA-u)Te
a=5;%%%%%%%%%%Z的阶数下标 g|TWoRx:
b=1;%%%%%%%%%%Z的阶数的上标 H Q :Y:
x = -1:0.01:1; R`KlG/Tk
[X,Y] = meshgrid(x,x); L _D #
[theta,r] = cart2pol(X,Y); cY]BtJ#
idx = r<=1; D,\hRQ
z = nan(size(X)); vB<9M-sa0
z(idx) = zernfun(a,b,r(idx),theta(idx)); F
~SA3M:
figure(1) 45Hbg
pcolor(x,x,z), shading interp k@Qd:I;;
axis square, colorbar L9{y1'')
xlabel('X'); q?y-s
ylabel('Y'); ;"B@QPX
title(['Zernike function Z^a_b','(r,\theta)']) jZr"d*Y
figure(2) L8,/
mesh(x,x,z) d0V*[{
xlabel('X'); +?)R}\\
ylabel('Y'); (1e,9!?
title(['Zernike function Z^a_b','(r,\theta)'])