Correlation length from intensity profile

In summary, the conversation discusses calculating the correlation length of a rough surface using the intensity profile of diffuse and specular reflectance. By fitting with a Gaussian curve, the FWHM of the intensity profile is calculated. It is generally accepted that correlation length is equal to 2/FWHM, but it was also found that correlation length can be equal to 2*pi/FWHM under certain conditions. The speaker also asks for clarification on the distribution of the diffuse intensity and if a specular component would affect it.
  • #1
marif
1
0
I want to calculate the correlation length of a rough surface from the intensity profile of diffuse and specular reflectance from that rough surface.

By fitting with the Gaussian curve, I calculated FWHM of the intensity profile.Generally it is considered thatcorrelation length = 2/FWHMI also found that, correlation length = 2*pi/FWHMUnder what conditions of the rough surface, the correlation length = 2*pi/FWHMThanks for any help.
 
  • #3
I'm not an expert in this area, but since you've received no answers I'll try to help. Do you know that your diffuse intensity is Gaussian distributed, or did you just choose that distribution? I would expect it to be Rayleigh distributed, and if you add a specular component it would become a Rician distribution.
 

1. What is correlation length from intensity profile?

Correlation length from intensity profile is a measurement used in physics and materials science to quantify the spatial extent of fluctuations in a system. It is a statistical measure that describes the distance over which the intensity of a signal or property is correlated or related to itself.

2. How is correlation length from intensity profile calculated?

The correlation length from intensity profile is typically calculated by taking the Fourier transform of the intensity profile and then finding the peak frequency. The inverse of this peak frequency gives the correlation length, which is a measure of the size of the fluctuations in the system.

3. What does a larger correlation length indicate?

A larger correlation length indicates a more ordered and correlated system, where fluctuations are present over longer distances. This could be indicative of a phase transition or critical point in the system.

4. How is correlation length from intensity profile used in materials science?

In materials science, correlation length from intensity profile is used to understand the microstructure of materials and how it affects their properties. It can also provide insights into phase transitions, defects, and other physical phenomena in materials.

5. Can correlation length from intensity profile be measured in non-uniform systems?

Yes, correlation length from intensity profile can be measured in non-uniform systems. However, the interpretation of the results may be more complex as the correlation length may vary in different regions of the system. Specialized techniques, such as local correlation length analysis, may be used to measure the correlation length in non-uniform systems.

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