"The source problem"---transient waves propagating frominternal sources in non-stationary media.

Research output: Contribution to journalArticle

Abstract

Direct scattering of propagating transient waves originating from internal sources in non-stationary, inhomogeneous, dispersive, stratified media is investigated. The starting point is a general, inhomogeneous, linear, first order 2 X 2 system of equations. Particular solutions are obtained, as integrals of fundamental waves from point sources distributed throughout the medium. First, resolvent kernels are used to construct time-dependent fundamental wave functions at the location of the point source. Wave propagators, closely related to the Green functions, at all times advance these time-dependent waves into the surrounding medium. The propagator equations and the propagation of propagator kernel discontinuities along the characteristics of these equations are essential in the distributional proof, which is outlined. As an illustration, three special problems are studied; the inhomogeneous, second order wave equation, and source problems in homogeneous and time-invariant media.

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Subject classification (UKÄ) – MANDATORY

  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Other Electrical Engineering, Electronic Engineering, Information Engineering
Original languageEnglish
Pages (from-to)43-68
JournalWave Motion
Volume26
Issue number1
Publication statusPublished - 1997
Publication categoryResearch
Peer-reviewedYes

Related research output

Ingegerd Åberg, 1997, Department of Electromagnetic Theory, Lund Institute of Technology. 200 p.

Research output: ThesisDoctoral Thesis (compilation)

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