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Johnjbarton (talk | contribs) →Complex refractive index: name ref for reuse, add to the defined term with page number. |
Johnjbarton (talk | contribs) →Complex refractive index: delete content that does not verify. The MIT course notes say nothing about mass attenuation. |
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<math display="block">\underline{n} = n + i\kappa.</math>
Here, the real part {{mvar|n}} is the refractive index and indicates the [[phase velocity]], while the imaginary part {{mvar|κ}} is called the '''extinction coefficient'''
|url = http://web.mit.edu/course/6/6.732/www/6.732-pt2.pdf
|title = Solid State Physics Part II Optical Properties of Solids
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|archive-url = https://web.archive.org/web/20150724051216/http://web.mit.edu/course/6/6.732/www/6.732-pt2.pdf
|archive-date = 2015-07-24
}}</ref>{{rp|
That {{mvar|κ}} corresponds to absorption can be seen by inserting this refractive index into the expression for [[electric field]] of a [[plane wave|plane]] electromagnetic wave traveling in the {{mvar|x}}-direction. This can be done by relating the complex [[wave number]] {{mvar|{{uu|k}}}} to the complex refractive index {{mvar|{{uu|n}}}} through {{math|{{uu|''k''}} {{=}} 2π{{uu|''n''}}/''λ''{{sub|0}}}}, with {{math|''λ''{{sub|0}}}} being the vacuum wavelength; this can be inserted into the plane wave expression for a wave travelling in the {{mvar|x}}-direction as:
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