采用matlab編程，其主函數(shù)如下，可以模擬各階的zernike多項式： @C7#
xGD  
%Display the Zernike function Z(n=5,m=1) E.t9F3
  
      clc 8&f}GdZh  
      clear f!eC|:D  
      a=5;%%%%%%%%%%Z的階數(shù)下標 pu,/GBG_  
      b=1;%%%%%%%%%%Z的階數(shù)的上標 WUMx:a0!  
      x = -1:0.01:1; JaiYVx(  
      [X,Y] = meshgrid(x,x); 4f'WF5S/}8  
      [theta,r] = cart2pol(X,Y); y2o?a6`  
      idx = r<=1; {HlUV33O  
      z = nan(size(X)); Y?R;Y:u3Z  
      z(idx) = zernfun(a,b,r(idx),theta(idx)); DTI+VY.W^  
      figure(1) `{<2{}2M  
      pcolor(x,x,z), shading interp `N;u#z  
      axis square, colorbar hQ#'_%:  
      xlabel('X'); :Dw;RcZQ  
      ylabel('Y'); ?7YX@x  
      title(['Zernike function Z^a_b','(r,\theta)']) V :*GG+4  
      figure(2) (;+JM*c2N  
      mesh(x,x,z) Y:ZI9JK?  
      xlabel('X'); m%'9z