PROPAGATION OF TRANSIENT WAVES THROUGH A STRATIFIED FLUID MEDIUM: WAVELET ANALYSIS OF A NONASYMPTOTIC DECOMPOSITION OF THE PROPAGATOR . Part 1. SPHERICAL WAVES THROUGH A TWO-LAYERED SYSTEM

Ginette Saracco (1, 2, 3, 4)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 Penn State - Pennsylvania State University
3 GR - Géosciences Rennes
4 CEREGE - Centre européen de recherche et d'enseignement des géosciences de l'environnement

The propagator for the problem of transient waves in a stratified fluid medium has a natural decomposition into three contributions. These contributions are studied in detail by analytic and numerical methods and the results are compared with experiment. Since the individual contributions have dispersive character, they are analyzed with the help of continuous wavelet transforms.

Mots clés: nonasymptotic decomposition; complex wavelet transform; Morlet wavelet; wave equation; Green's Function; inhomogeous wave; evanescent wave; specular wave; wave-front; branch point; surface wave; transient regime; time-frequency domain; time-scale domain

Domaines: Acoustique [physics.class-ph]; Théorie spectrale [math.SP]

Ginette Saracco. PROPAGATION OF TRANSIENT WAVES THROUGH A STRATIFIED FLUID MEDIUM: WAVELET ANALYSIS OF A NONASYMPTOTIC DECOMPOSITION OF THE PROPAGATOR . Part 1. SPHERICAL WAVES THROUGH A TWO-LAYERED SYSTEM. Journal of the Acoustical Society of America, 1994, 95 (3), pp.1191-1205. ⟨10.1121/1.408563⟩. ⟨hal-00549907v2⟩