采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: a&UzIFdB
%Display the Zernike function Z(n=5,m=1) g@T}h[
clc vPc*x5w-
clear q;UGiB^(A
a=5;%%%%%%%%%%Z的阶数下标 |* ^LsuFb
b=1;%%%%%%%%%%Z的阶数的上标 @DF7j|]tV
x = -1:0.01:1; >|yP`m
[X,Y] = meshgrid(x,x); ]"~
x
[theta,r] = cart2pol(X,Y); `WnsM;1Y"
idx = r<=1; OzwJ 52
z = nan(size(X)); Hp>L}5 y[
z(idx) = zernfun(a,b,r(idx),theta(idx)); C!ch
!E#
figure(1) r-yUWIr
S
pcolor(x,x,z), shading interp *,IK4F6>:
axis square, colorbar v5@M 34
xlabel('X'); ;FW <%
ylabel('Y'); -/V(Z+dj
title(['Zernike function Z^a_b','(r,\theta)']) (m6V)y
figure(2) o8|qT)O@U
mesh(x,x,z) ifu!6_b.
xlabel('X'); '#h ORQB
ylabel('Y'); \KzJNCOT
title(['Zernike function Z^a_b','(r,\theta)'])