采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： r niM[7K
%Display the Zernike function Z(n=5,m=1) _i+@HXR &
clc }Rw ,4
clear P Y^#hC5:
a=5;%%%%%%%%%%Z的阶数下标 =zyA~}M2
b=1;%%%%%%%%%%Z的阶数的上标 b[<RcM{r}
x = -1:0.01:1; m<-ShRr*b
[X,Y] = meshgrid(x,x); MWh Y&I+
[theta,r] = cart2pol(X,Y); ?qaWt/m
idx = r<=1; )?$[iu7 s
z = nan(size(X)); w]0@V}}u$o
z(idx) = zernfun(a,b,r(idx),theta(idx)); f
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figure(1) 1[SG.
pcolor(x,x,z), shading interp K] (*l"'U5
axis square, colorbar (jc& Fk
xlabel('X'); @vt.Db
ylabel('Y');
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title(['Zernike function Z^a_b','(r,\theta)']) "r-P[EKpL
figure(2) H;1@]|sH#
mesh(x,x,z) IW0S*mO$
xlabel('X'); T+<.KvO-
ylabel('Y'); z sg\|=P
title(['Zernike function Z^a_b','(r,\theta)'])
