Is the Refractive Index Constant Despite Rising Extinction Coefficient?

In summary, it is possible for the refractive index to remain constant while the extinction coefficient rises as a function of frequency. This typically occurs at the absorption edge of transmission spectra of a semiconductor. This is due to the relationship between the index of refraction and absorption, which is described by the Kramers Kronig relations. These relations allow for the determination of a material's full complex refractive index as a function of wavelength from an absorption spectrum of the material. For more information, see the Wikipedia articles on refractive index and the Kramers Kronig relations.
  • #1
Ravian
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is it possible the refractive index remains constant while its extinction co-efficient rises as function of frequency? if yes when does this typical arise? i imagine that this can happen at the absorption edge of transmission spectra of a semiconductor but i don't find any explanation to this.
 
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  • #2
The index of refraction and the absorption are related through the Kramers Kronig relations. If the index of refraction is independent of frequency (wavelength), then the absorption coefficient has to be independent of frequency also.

See

http://en.wikipedia.org/wiki/Refractive_index

"The real and imaginary parts of the complex refractive index are related through use of the Kramers–Kronig relations. For example, one can determine a material's full complex refractive index as a function of wavelength from an absorption spectrum of the material."

Also see this Wikipedia article on the Kramers Kronig relations.

http://en.wikipedia.org/wiki/Kramers–Kronig_relation

Bob S
 

Related to Is the Refractive Index Constant Despite Rising Extinction Coefficient?

1. What is the complex refractive index?

The complex refractive index is a parameter that describes how light behaves when passing through a material. It consists of two components: the real part, which describes the material's ability to bend light or its refractive index, and the imaginary part, which describes how much light is absorbed by the material.

2. How is the complex refractive index measured?

The complex refractive index is typically measured using a technique called spectroscopy, which involves shining light of different wavelengths onto a material and measuring how much light is reflected or transmitted. The ratio of the reflected or transmitted light to the incident light gives the real and imaginary parts of the complex refractive index, respectively.

3. What factors affect the complex refractive index?

The complex refractive index of a material is influenced by various factors, including its chemical composition, physical structure, and environmental conditions such as temperature and pressure. It can also vary with the wavelength of light and the angle at which it passes through the material.

4. How does the complex refractive index impact the behavior of light?

The complex refractive index plays a crucial role in determining how light interacts with a material. It affects the material's ability to bend light, reflect or transmit it, and absorb certain wavelengths. The imaginary part of the complex refractive index, which represents absorption, is particularly important in determining the material's color and transparency.

5. What are the applications of the complex refractive index?

The complex refractive index is a vital parameter in various fields, including optics, materials science, and chemistry. It is used to design and optimize optical components such as lenses and mirrors, study the properties of materials, and develop new materials with desirable optical properties. It also has applications in industries such as healthcare, electronics, and energy.

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