Correlation length from intensity profile

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SUMMARY

The discussion focuses on calculating the correlation length of a rough surface using the intensity profile of diffuse and specular reflectance. The user calculated the Full Width at Half Maximum (FWHM) of the intensity profile by fitting it with a Gaussian curve. It is established that the correlation length can be defined as correlation length = 2/FWHM or correlation length = 2*pi/FWHM under specific conditions. The conversation also highlights the importance of understanding the distribution of the diffuse intensity, suggesting it may be Rayleigh distributed rather than Gaussian.

PREREQUISITES
  • Understanding of Gaussian and Rayleigh distributions
  • Familiarity with Full Width at Half Maximum (FWHM) calculations
  • Knowledge of diffuse and specular reflectance concepts
  • Basic principles of surface roughness characterization
NEXT STEPS
  • Research the differences between Gaussian, Rayleigh, and Rician distributions
  • Learn about advanced fitting techniques for intensity profiles
  • Explore methods for measuring surface roughness quantitatively
  • Investigate the implications of correlation length in material science
USEFUL FOR

Researchers and engineers in materials science, physicists studying surface properties, and anyone involved in optical characterization of rough surfaces.

marif
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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.
 
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.
 

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