Mathematical descriptions of opacity

In summary, the conversation discusses the relationship between refractive index and angular wavenumber in non-attenuating media. It is stated that all media are attenuating, with non-attenuating media being an approximation. The refractive index is frequency dependent and may vary based on the parameters of the beam.
  • #1
alikazemi7
8
0
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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  • #2
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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Related to Mathematical descriptions of opacity

1. What is opacity in mathematical terms?

Opacity in mathematical terms refers to the measure of how much a material or substance blocks the transmission of light. It is typically represented as a decimal or percentage, with 0% being completely transparent and 100% being completely opaque.

2. How is opacity calculated?

Opacity is calculated by measuring the amount of light that passes through a material and comparing it to the amount of light that would pass through if the material were not present. This can be done using a variety of methods, including spectrophotometry and turbidity measurements.

3. What factors affect the opacity of a material?

The opacity of a material can be affected by a variety of factors, including its thickness, density, and chemical composition. Other factors such as temperature, pressure, and wavelength of light can also impact the opacity of a material.

4. How is opacity related to transparency?

Opacity and transparency are opposite properties, with opacity referring to the amount of light that is blocked by a material and transparency referring to the amount of light that is able to pass through a material. In mathematical terms, opacity and transparency are represented as complementary values, with a higher opacity resulting in a lower transparency and vice versa.

5. How are mathematical descriptions of opacity used in science and engineering?

Mathematical descriptions of opacity are used in various scientific and engineering fields, such as optics, materials science, and atmospheric science. These descriptions are used to quantify and predict the behavior of light passing through different materials, which can be useful in designing and optimizing various technologies and processes.

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