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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              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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