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IEVref:103-10-18ID:
Language:enStatus: Standard
Term: propagation coefficient
Synonym1:
Synonym2:
Synonym3:
Symbol: γ _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaaaa@3707@
Definition: complex quantity γ _ =α+jβ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaiabg2da9iabeg7aHjabgUcaRiaabQgacqaHYoGyaaa@3D1F@ appearing in the complex representation of a wave A 0 exp( γ _ x+jωt+j ϑ 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbqacaaIWaaaleqaaKqzafGaaeyzaiaabIhacaqGWbGccaGGOaGa eyOeI0YaaWaaaeaacqaHZoWzaaGaaGjcVlaadIhacqGHRaWkjugqbi aabQgakiabeM8a3jaayIW7caWG0bGaey4kaSscLbuacaqGQbGaeqy0 dOKcdaWgaaWcbaqcLbqacaaIWaaajugqbeqaaiaacMcaaaa@4EA6@ , where its real part A 0 exp(αx)cos(βx+ωt+ ϑ 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbqacaaIWaaaleqaaKqzafGaaeyzaiaabIhacaqGWbGccaGGOaGa eyOeI0IaeqySdeMaaGjcVlaadIhacaGGPaqcLbuacaqGJbGaae4Bai aabohakiaacIcacqGHsislcqaHYoGycaaMi8UaamiEaiabgUcaRiab eM8a3jaayIW7caWG0bGaey4kaSscLbuacqaHrpGskmaaBaaaleaaju gabiaaicdaaKqzafqabaGaaiykaaaa@55F7@ represents, along a line parallel to the x-axis, a characteristic quantity of a guided sinusoidal wave or a plane sinusoidal wave, at angular frequency ω and initial phase ϑ 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiabeg9aknaaBaaale aajugabiaaicdaaSqabaaaaa@385B@

Note 1 to entry: The concept of propagation coefficient has a meaning only when A 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbmacaaIWaaaleqaaaaa@3838@ and γ _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaaaa@370A@ are substantially independent of x.

Note 2 to entry: The propagation coefficient has the dimension of reciprocal length and is usually a function of frequency.


Publication date:2009-12
Source:
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
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