Generalized Fourier transforms for the acoustic pressure and velocity in compressible dissipative stratified media

a b s t r a c tIn the present study, a generalized Fourier transform for time harmonic elastic wave propagation in a half space is developed. The generalized Fourier transform is obtained from the spectral representation of the operator derived from the elastic wave equation. By means of the generalized Fourier transform, a volume integral equation method for the analysis of scattered elastic waves is presented. The proposed method is based on the Krylov subspace iteration technique. During the iterative process, the discrete generalized Fourier transform is used, where the derivation of a huge and dense matrix from the volume integral equation is not necessary.

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Generalized Fourier transforms for the acoustic pressure and velocity in compressible dissipative stratified media

Cited by 4 publications

References 19 publications

Full wave solutions for the scattering of acoustic waves excited by arbitrary source distributions in irregular layered media

Full wave solutions for the scattering of acoustic waves excited by arbitrary source distributions in irregular layered media

Scattering of acoustic waves in irregular layered media: full wave solutions

Generalized Fourier transform and its application to the volume integral equation for elastic wave propagation in a half space

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