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

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   Message 12,371 of 12,750   
   ggherold@gmail.com to RichD   
   Re: Rayleigh vs. Nyquist   
   13 Dec 17 05:37:19   
   
   On Tuesday, December 12, 2017 at 6:36:45 PM UTC-5, RichD wrote:   
   > Consider the Nyquist criterion for sampling a continuous    
   > waveform - 2x bandwidth - then the Rayleigh resolution    
   > principle - peaks must separate by at least 1 wavelength.    
   Well lamda/ D (diameter of lens).  But sure it's a kinda a spacial    
   transform rather than time.     
      
   George h.    
   >    
   > 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   
      
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