Thanks for the interest. I hope my reply above gives a little more information.   
      
      
      
   On Friday, April 26, 2013 4:36:21 AM UTC+2, Salmon Egg wrote:   
   > In article <1fd34472-0c42-4f48-815c-6bcabc06e4a6@googlegroups.com>,   
   >    
   >  theot..me@gmail.com wrote:   
   >    
   >    
   >    
   > > I'm looking for a tutorial (primer) on how to use the Zernike coefficients    
   >    
   > > obtained from a Shack-Hartmann wavefront sensor.   
   >    
   > > For example, how to I use the x-tilt coefficient to work out how far my   
   beam    
   >    
   > > will shift?   
   >    
   >    
   >    
   > While not an expert on the subject, I would guess you do what you would    
   >    
   > do to expand any arbitrary function using an approprcate complete set of    
   >    
   > orthonormal functions.   
   >    
   >    
   >    
   > To me, the term "wavefront sensor" implies that you have data that tells    
   >    
   > you the wave front error as a function ต(x,y) of x and y. The trouble    
   >    
   > may be that you only have samples of ต. That means you either use an    
   >    
   > integration grid at those sample locations or some interpolation to get    
   >    
   > values at points needed for numerical integration.   
   >    
   >    
   >    
   > Look up some combination of Sturm-Louiville (sp), harmonic analysis,    
   >    
   > fourier series. IIRC there was a FORTRAN program out of U of Arizona    
   >    
   > that used Zygo interferometer data and converted it to aberration    
   >    
   > coefficients.   
   >    
   >    
   >    
   > --    
   >    
   >    
   >    
   > Sam   
   >    
   >    
   >    
   > Conservatives are against Darwinism but for natural selection.   
   >    
   > Liberals are for Darwinism but totally against any selection.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)