采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ,#;%ILF4%
%Display the Zernike function Z(n=5,m=1) P5{|U"Y_
clc {p#[.E8
clear M`{x*qR
a=5;%%%%%%%%%%Z的阶数下标 ;533;(d* o
b=1;%%%%%%%%%%Z的阶数的上标 ODE9@]a
x = -1:0.01:1; K5(:UIWx
[X,Y] = meshgrid(x,x); ~xz3- a/
[theta,r] = cart2pol(X,Y); eq>E<X#<
idx = r<=1; E*rnk4Y
z = nan(size(X)); %*4Gx +b
z(idx) = zernfun(a,b,r(idx),theta(idx)); %) A-zzj
figure(1) /y2 upu*!
pcolor(x,x,z), shading interp '& ~ A
axis square, colorbar doJ\7c5uU
xlabel('X'); K.CwtUt`54
ylabel('Y'); TM_ MJp
title(['Zernike function Z^a_b','(r,\theta)']) SVvR]T&_
figure(2) zD8q(]: A
mesh(x,x,z) I^'U_"vB
xlabel('X'); ^"Y5V5
ylabel('Y'); -t28"jyj
title(['Zernike function Z^a_b','(r,\theta)'])
