Transient waves in nonstationary media
Författare
Summary, in English
This paper treats propagation of transient waves in nonstationary media, which has many applications in, for example, electromagnetics and acoustics. The underlying hyperbolic equation is a general, homogeneous, linear, first-order 2×2 system of equations. The coefficients in this system depend on one spatial coordinate and time. Furthermore, memory effects are modeled by integral kernels, which, in addition to the spatial dependence, are functions of two different time coordinates. These integrals generalize the convolution integrals, frequently used as a model for memory effects in the medium. Specifically, the scattering problem for this system of equations is addressed. This problem is solved by a generalization of the wave splitting concept, originally developed for wave propagation in media which are invariant under time translations, and by an imbedding or a Green's functions technique. More explicitly, the imbedding equation for the reflection kernel and the Green's functions (propagator kernels) equations are derived. Special attention is paid to the problem of nonstationary characteristics. A few numerical examples illustrate this problem.
Publiceringsår
1996
Språk
Engelska
Sidor
2229-2252
Publikation/Tidskrift/Serie
Journal of Mathematical Physics
Volym
37
Issue
5
Dokumenttyp
Artikel i tidskrift
Förlag
American Institute of Physics (AIP)
Ämne
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Forskningsgrupp
- Electromagnetic theory
ISBN/ISSN/Övrigt
- ISSN: 0022-2488