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Area Oscillations, signals and related devices / Oscillations and waves

IEV ref 702-02-22

Symbol
| v g | MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaaemaabaGabmODayaalaWaaSbaaSqaaiaabEgaaeqaaaGccaGLhWUaayjcSdaaaa@3A9C@

en
group velocity
the velocity vector at a point, in a propagation medium, of a signal which may be ideally represented by two superimposed sinusoidal waves of equal amplitude and slightly different frequencies approaching a common limiting value

Note – In the most general case the reciprocal of the magnitude | v g | MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaaemaabaGabmODayaalaWaaSbaaSqaaiaabEgaaeqaaaGccaGLhWUaayjcSdaaaa@3A9C@ of the group velocity vector is equal to the derivative of the reciprocal of the wavelength λ with respect to the frequency f:

1 | v g | = d( λ 1 ) df MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaalaaabaGaaGymaaqaamaaemaabaGabmODayaalaWaaSbaaSqaaiaabEgaaeqaaaGccaGLhWUaayjcSdaaaiabg2da9maalaaabaGaaeizamaabmaabaGaeq4UdW2aaWbaaSqabeaacqGHsislcaaIXaaaaaGccaGLOaGaayzkaaaabaGaaeizaiaadAgaaaaaaa@4452@


fr
vitesse de groupe, f
vecteur vitesse de déplacement, en un point d'un milieu de propagation, d'un signal qui peut être représenté idéalement par la superposition de deux ondes sinusoïdales de même amplitude dont les fréquences tendent vers une limite commune

Note – Dans le cas le plus général l'inverse de la norme | v g | MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaaemaabaGabmODayaalaWaaSbaaSqaaiaabEgaaeqaaaGccaGLhWUaayjcSdaaaa@3A9C@ du vecteur vitesse de groupe est égal à la dérivée de l'inverse de la longueur d'onde λ par rapport à la fréquence f:

1 | v g | = d( λ 1 ) df MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaalaaabaGaaGymaaqaamaaemaabaGabmODayaalaWaaSbaaSqaaiaabEgaaeqaaaGccaGLhWUaayjcSdaaaiabg2da9maalaaabaGaaeizamaabmaabaGaeq4UdW2aaWbaaSqabeaacqGHsislcaaIXaaaaaGccaGLOaGaayzkaaaabaGaaeizaiaadAgaaaaaaa@4452@


ar
سرعة المجموعة

de
Gruppengeschwindigkeit, f

es
velocidad de grupo

it
velocità di gruppo

ko
군속도

ja
群速度

pl
prędkość grupowa

pt
velocidade de grupo

sv
grupphastighet

Publication date: 1992-03
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