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"The source problem" - Transient waves propagating from internal sources in non-stationary media

Författare

Summary, in English

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 × 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.

Publiceringsår

1995

Språk

Engelska

Publikation/Tidskrift/Serie

Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)

Dokumenttyp

Rapport

Förlag

[Publisher information missing]

Ämne

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Report number

TEAT-7044

Forskningsgrupp

  • Electromagnetic theory