采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： W7\s=t\
%Display the Zernike function Z(n=5,m=1) }K
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clc &j bZL5
clear KOYU'hw
a=5;%%%%%%%%%%Z的阶数下标 PP]Z~ne0X
b=1;%%%%%%%%%%Z的阶数的上标 =>y%Aj&4
x = -1:0.01:1; Te\i;7;4u
[X,Y] = meshgrid(x,x); >[$ j(k^
[theta,r] = cart2pol(X,Y); 5 3g(:eB
idx = r<=1; L}*s_'_e^>
z = nan(size(X)); =!?4$vW
z(idx) = zernfun(a,b,r(idx),theta(idx)); "8BZj;yS
figure(1) p7Q}xx
pcolor(x,x,z), shading interp ees ^ j4
axis square, colorbar ZQ MK1
xlabel('X'); y)Y0SY1 \j
ylabel('Y'); eG\|E3 Cb9
title(['Zernike function Z^a_b','(r,\theta)']) `A\|qH5`W
figure(2) nQHQVcDs8
mesh(x,x,z) *(w#*,lv
xlabel('X'); (E*pM$
ylabel('Y'); x%$as;
title(['Zernike function Z^a_b','(r,\theta)'])
