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   sci.optics      Discussion relating to the science of op      12,750 messages   

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   Message 12,370 of 12,750   
   RichD to All   
   Rayleigh vs. Nyquist   
   12 Dec 17 15:36:43   
   
   From: r_delaney2001@yahoo.com   
      
   Consider the Nyquist criterion for sampling a continuous    
   waveform - 2x bandwidth - then the Rayleigh resolution    
   principle - peaks must separate by at least 1 wavelength.     
      
   Don't these look much analogous?     
   Especially as λ = 1/f   
      
   Ruminating  a bit more... Nyquist sampling can be    
   viewed as a mandate to sample each period, at least    
   twice.  And, Rayleigh mandates that the image be    
   'sampled' twice, in the sense of a peak and trough.   
      
   It strikes me they may be equivalent, in some deeper    
   sense.  Has anyone ever tried to derive such a result,    
   mathematically?   
      
   I can't be the first to ever conjecture this -     
      
   --   
   Rich   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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