Queries, comments, suggestions? Please contact us.



Area Mathematics - Functions / Mathematical concepts related to waves

IEV ref103-10-18

Symbol
γ _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaaaa@3707@

en
propagation coefficient
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.


fr
exposant linéique de propagation, m
grandeur complexe γ _ =α+jβ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaiabg2da9iabeg7aHjabgUcaRiaabQgacqaHYoGyaaa@3D1F@ figurant dans la représentation complexe d’une onde 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@ , lorsque sa partie réelle 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@ représente, le long d'une droite parallèle à l'axe des x, une grandeur caractéristique d'une onde guidée ou d'une onde plane sinusoïdale de pulsation ω et de phase à l'origine ϑ 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiabeg9aknaaBaaale aajugabiaaicdaaSqabaaaaa@385B@

Note 1 à l'article: Le concept d'exposant linéique de propagation n'a de sens que lorsque A 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbmacaaIWaaaleqaaaaa@3838@ et γ _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiWacmWacmaadaGadeaabaGaaqaaaOqaamaamaaabaGaeq4SdC gaaaaa@370A@ sont en principe indépendants de x.

Note 2 à l'article: L'exposant linéique de propagation a les dimensions de l'inverse d'une longueur et est généralement fonction de la fréquence.


ar
معامل الانتشار

de
Ausbreitungskoeffizient, m

es
coeficiente de propagación

it
coefficiente di propagazione

ja
伝播係数

pl
tamowność liniowa
współczynnik propagacji

pt
coeficiente de propagação

sr
коефицијент простирања, м јд

sv
utbredningskoefficient

zh
传播系数

Publication date: 2009-12
Copyright © IEC 2017. All Rights Reserved.