How Does Temporal Coherence Relate to Spectral Width in Absorption Features?

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Temporal coherence in a frequency spectrum is fundamentally linked to the coherence time derived from the spectral width of absorption features. The relationship indicates that the temporal coherence cannot be shorter than the coherence time associated with these features. The discussion references Thomas temperature coherence and longitudinal coherence, emphasizing a statistical basis for these concepts. By analyzing wavelength distributions, one can derive the coherence properties over multiple periods. Overall, the coherence characteristics are crucial for understanding absorption features in spectral analysis.
Thomas Smid
To spin my last post a bit further:

It appears that one could say then that the temporal coherence of a
given frequency spectrum can not be less than the coherence time
associated with the spectral width of any absorption features in the
spectrum.

Thomas
 
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temperature coherence or longitudinal coherence

assume the wave length has a uniform distribution from lamda to lamda+deltalamda

then after N period, N.*lamda=(N+1)*(lamda+deltalamda), N can be found, and N.*lamda is about the longitudinal coherence or temperal coherence.
As I read elsewhere, this concept is essentially a statistical consequence...

Thomas Smid said:
To spin my last post a bit further:

It appears that one could say then that the temporal coherence of a
given frequency spectrum can not be less than the coherence time
associated with the spectral width of any absorption features in the
spectrum.

Thomas
 
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