采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: SaiYdJ
%Display the Zernike function Z(n=5,m=1) J9XV:)Yv#
clc >(eR0.x
clear qaEWK0
a=5;%%%%%%%%%%Z的阶数下标 e4Xo(EY &
b=1;%%%%%%%%%%Z的阶数的上标 HQ`A.E2
x = -1:0.01:1; _>i<` k
[X,Y] = meshgrid(x,x); SOQR(UT
[theta,r] = cart2pol(X,Y); ^LAdN8Cbb
idx = r<=1;
bC%}1wwh
z = nan(size(X)); GE |P )VO
z(idx) = zernfun(a,b,r(idx),theta(idx)); 1eMaKT_=
figure(1) zmh5x{US1
pcolor(x,x,z), shading interp Q7SRf$4
axis square, colorbar d6{0[T^L
xlabel('X'); F/0x`l
ylabel('Y'); S<"`9r)av
title(['Zernike function Z^a_b','(r,\theta)']) 4zx_L8#Z
figure(2) :1e'22[=.
mesh(x,x,z) 'kk
B>g7B
xlabel('X'); l8By2{pN
ylabel('Y'); J]qx4c
title(['Zernike function Z^a_b','(r,\theta)'])