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IEVref:705-03-20ID:
Language:enStatus: Standard
Term: complex refractive index (in a given direction)
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Definition: a dimensionless complex scalar quantity n, characteristic of a medium at a given point and in a given direction, when there can exist in the medium a sinusoidal electromagnetic wave whose wave vector K _ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbba9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr0=vr0db8meqabaGacmaadaWaaiWabiabciaafiaakeaadaWhcaqaamaamaaabaGaam4saaaaaiaawEniaaaa@3C22@ has colinear real and imaginary parts K MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbba9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr0=vr0db8meWabaGacmGadiWaaiWabaabaiaafaaakeaadaWhcaqaaiqadUeagaqbaaGaay51Gaaaaa@3C1D@ and K MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbba9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr0=vr0db8meWabaGacmGadiWaaiWabaabaiaafaaakeaadaWhcaqaaiqadUeagaGbaaGaay51Gaaaaa@3C1E@ , in the given direction; this quantity is defined by the equation:

K _ = K +j K = n _ ω c 0 u MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aadaWhcaqaamaamaaabaGaam4saaaaaiaawEniaiabg2da9maaFiaa baGabm4sayaafaaacaGLxdcacqGHRaWkciGGQbWaa8HaaeaaceWGlb GbayaaaiaawEniaiabg2da9maamaaabaGaamOBaaaadaWcaaqaaiab eM8a3bqaaiaadogadaWgaaWcbaGaae4BaaqabaaaaOWaa8Haaeaaca WG1baacaGLxdcaaaa@4CBD@

where ω is the angular frequency, c0 is the velocity of propagation of electromagnetic waves in vacuum and u MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbba9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr0=vr0db8meWabaGacmaadaWaaiWabaabaiaafaaakeaadaWhcaqaaiaadseaaiaawEniaaaa@3C07@ is the unit vector in the given direction

NOTE 1 – For an isotropic medium, the complex refractive index is the square root of the product of the relative complex permittivity and the relative complex permeability.

NOTE 2 – For each direction in an anisotropic medium, there are generally two distinct wave vectors and two values of the complex refractive index.


Publication date:1995-09
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