采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： sq2:yt
%Display the Zernike function Z(n=5,m=1) 6MVu"0#
clc /"Vd( K2Z
clear <r#FI8P;X
a=5;%%%%%%%%%%Z的阶数下标 ?9\D (V
b=1;%%%%%%%%%%Z的阶数的上标 V;%ug'j
x = -1:0.01:1; L/ 7AGR|;C
[X,Y] = meshgrid(x,x); t%Jk3W/f
[theta,r] = cart2pol(X,Y); ,'s }g,L
idx = r<=1; SI!A?34
z = nan(size(X)); gQPw+0w
z(idx) = zernfun(a,b,r(idx),theta(idx)); `D77CC]vU
figure(1) s E[`x^1'8
pcolor(x,x,z), shading interp qzZ/%{A k
axis square, colorbar 2f[; U"
xlabel('X'); I }_}VSG(
ylabel('Y'); A0 8kwYxiW
title(['Zernike function Z^a_b','(r,\theta)']) wtYgHC}X
figure(2) 2=_$&oT**
mesh(x,x,z) $P{`-Y }a
xlabel('X'); | SOLC
ylabel('Y'); #yH+ENp0
title(['Zernike function Z^a_b','(r,\theta)'])
