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

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By finding N, which is equal to the number of periods, and multiplying it by lambda, the longitudinal coherence or temporal coherence can be approximated. This concept is a statistical consequence. In summary, the conversation discussed the relationship between temporal coherence and spectral width, with Thomas explaining how to determine longitudinal coherence using a uniform wavelength distribution and N periods. This concept is a statistical consequence.
  • #1
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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  • #2
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
 

1. What is temporal coherence?

Temporal coherence refers to the measure of how well waves, such as light or sound, maintain a consistent phase relationship over time.

2. How is temporal coherence measured?

Temporal coherence is typically measured using an interferometer, which measures the interference pattern between two beams of light or sound waves.

3. What is the importance of temporal coherence in scientific research?

Temporal coherence is important in many scientific fields, such as optics, acoustics, and quantum mechanics. It allows researchers to study the behavior of waves and how they interact with each other and their environment.

4. How does temporal coherence affect the quality of images or signals?

The higher the temporal coherence, the better the quality of images or signals. This is because waves with high temporal coherence maintain a consistent phase relationship, resulting in a clearer and more defined image or signal.

5. What factors can affect temporal coherence?

Factors such as temperature, material properties, and external disturbances can affect temporal coherence. In optics, for example, fluctuations in temperature can cause changes in the refractive index of materials, impacting the coherence of light waves.

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