Mathematical descriptions of opacity

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SUMMARY

The discussion centers on the mathematical descriptions of opacity, specifically the distinction between attenuating and non-attenuating media. It is established that non-attenuating media can be approximated using the refractive index and angular wavenumber, while all media exhibit some level of attenuation. The refractive index is confirmed to be frequency-dependent, with varying degrees of attenuation across different frequency ranges. Additionally, the complex refractive index is influenced by parameters such as intensity, polarization, and propagation direction.

PREREQUISITES
  • Understanding of complex refractive index concepts
  • Familiarity with angular wavenumber in optics
  • Knowledge of frequency-dependent attenuation in media
  • Basic principles of light propagation and polarization
NEXT STEPS
  • Research the relationship between refractive index and angular wavenumber in non-attenuating media
  • Explore the effects of frequency on attenuation in various materials
  • Study the impact of intensity and polarization on the complex refractive index
  • Investigate mathematical models for describing opacity in different media
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Physicists, optical engineers, and researchers in materials science who are studying light propagation, attenuation, and the mathematical modeling of optical properties in various media.

alikazemi7
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Hi
https://en.wikipedia.org/wiki/Mathematical_descriptions_of_opacity
it is mentioned above that "in non attenuating media, the refractive index and angular wavenumber are related by:
bd8c0089cfae6165ed1a32b96f65eaa5.png

A complex refractive index can therefore be defined in terms of the complex angular wavenumber defined above:

46a6d845fa2e547d5ee234bd2aa87129.png

where n is the refractive index of the medium."
Is it right to say that some mediums are attenuating and some non attenuating? and we use
bd8c0089cfae6165ed1a32b96f65eaa5.png
for non attenuating mediums and
46a6d845fa2e547d5ee234bd2aa87129.png
for attenuating mediums?
or non attenuating situations is just an approximation and all media are attenuating?
 
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All media are attenuating and non attenuating media are just an approximation.
The refractive index is frequency dependent and a media may strongly attenuate in a frequency range and slightly attenuate in other range. Moreover, the (complex) refractive index may depend in general on all parameters of the beam: the intensity, polarization or propagation direction.
 
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