IEC 60050 - International Electrotechnical Vocabulary

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IEVref:	103-10-18		ID:
Language:	en		Status: Standard

Term:	propagation coefficient
Synonym1:
Synonym2:
Synonym3:
Symbol:	$\underline{γ}$
Definition:	complex quantity $\underline{γ} = α + j β$ appearing in the complex representation of a wave $A_{0} exp (- \underline{γ} x + j ω t + j ϑ_{0})$ , where its real part $A_{0} exp (- α x) cos (- β x + ω t + ϑ_{0})$ 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 $ϑ_{0}$ Note 1 to entry: The concept of propagation coefficient has a meaning only when $A_{0}$ and $\underline{γ}$ 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
Replaces:
Internal notes:	2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
CO remarks:
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VT remarks:
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γ _ =α+jβ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaiabg2da9iabeg7aHjabgUcaRiaabQgacqaHYoGyaaa@3D1F@ A 0 exp(− γ _ x+jω t+j ϑ 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbqacaaIWaaaleqaaKqzafGaaeyzaiaabIhacaqGWbGccaGGOaGa eyOeI0YaaWaaaeaacqaHZoWzaaGaaGjcVlaadIhacqGHRaWkjugqbi aabQgakiabeM8a3jaayIW7caWG0bGaey4kaSscLbuacaqGQbGaeqy0 dOKcdaWgaaWcbaqcLbqacaaIWaaajugqbeqaaiaacMcaaaa@4EA6@ A 0 exp(−α x)cos(−β x+ω t+ ϑ 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbqacaaIWaaaleqaaKqzafGaaeyzaiaabIhacaqGWbGccaGGOaGa eyOeI0IaeqySdeMaaGjcVlaadIhacaGGPaqcLbuacaqGJbGaae4Bai aabohakiaacIcacqGHsislcqaHYoGycaaMi8UaamiEaiabgUcaRiab eM8a3jaayIW7caWG0bGaey4kaSscLbuacqaHrpGskmaaBaaaleaaju gabiaaicdaaKqzafqabaGaaiykaaaa@55F7@ xω 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}

and

\underline{γ}

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.