From: dale.buralli@gmail.com   
      
   On Sunday, September 13, 2020 at 9:31:26 PM UTC-4, glen walpert wrote:   
   > On Sun, 13 Sep 2020 13:23:44 -0400, Phil Hobbs wrote:    
   >    
   > > Both Smith and Buchdahl have discussions about calculating higher-order    
   > > aberrations using the paraxial description of an optical system.    
   > >    
   > > They're both pretty dense.    
   > >    
   > > Anybody here have a reference to an easier-to-digest version? (I'm    
   > > finishing up the third edition of Building Electro-Optical Systems, and    
   > > would really like to include something on this.)    
   > >    
   > > Cheers    
   > >    
   > > Phil Hobbs   
   > Kingslake - Lens Design Fundamentals 2nd edition might be a possibility.    
   > I don't have it, but I do have a course handout from U of R "Geometrical    
   > Optics" by Michael Lea which covers third order aberrations by ynu    
   > paraxial raytracing, same method as used by Kingslake, and I could scan    
   > that chapter and send it to you if you are interested. These    
   > calculations are complex enough that they are inherently a bit dense    
   > IMO. For 5th and 7th order aberrations Buchdahl might be the only good    
   > option, but I expect that is beyond what you need.    
   >    
   > Regards,    
   > Glen   
      
   As far as explicit formulae for the fifth-order aberrations (and seventh-order   
   spherical), probably the most readable account is M.P. Rimmer's MS thesis from   
   the University of Rochester (1963). I don't think that there is much in the   
   way of derivations;    
   it's primarily a presentation of Buchdahl's results in a notation and sign   
   convention more familiar to the optical engineering community (at least that   
   part of the community that graduated from the Institute of Optics). There's an   
   extremely good chance    
   that if your optical design program computes fifth-order aberrations, the   
   calculations came from Rimmer's thesis.   
      
   Dale Buralli   
      
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