采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ,m-z D
%Display the Zernike function Z(n=5,m=1) 37 hs/=x
clc "F(LTppy
clear W)dQ yZ>J
a=5;%%%%%%%%%%Z的阶数下标 |0A"3w
b=1;%%%%%%%%%%Z的阶数的上标 S`oADy
x = -1:0.01:1; T[}A7a 6g_
[X,Y] = meshgrid(x,x); @_Ko<fKSX
[theta,r] = cart2pol(X,Y);
`.dX@ <
idx = r<=1; }Km+5 'G'U
z = nan(size(X)); YRXXutm
z(idx) = zernfun(a,b,r(idx),theta(idx)); uT'}_2=:
figure(1) g-0?8q5T6
pcolor(x,x,z), shading interp j@xerY
axis square, colorbar #V[j Q Vl
xlabel('X'); >+iJ(jqq
ylabel('Y'); lWr{v\L'
title(['Zernike function Z^a_b','(r,\theta)']) w-%V9]J1
figure(2) WgxGx`Y)
mesh(x,x,z) eSNw AExm
xlabel('X'); .E'T fa
ylabel('Y'); d
NQ?8P-&
title(['Zernike function Z^a_b','(r,\theta)'])
