Seismic imaging, one-way wave equations, pseudodifferential operators, path integrals, and all that Jazz

Ojenie Artoun, Diana David-rus, Matthew Emmett, Lou Fishman, Sandra Fital, Chad Hogan, Jisun Lim, Enkeleida Lushi, Vesselin Marinov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this report we summarize an extension of Fourier analysis for the solution of the wave equation with a non-constant coefficient corresponding to an inhomogeneous medium. The underlying physics of the problem is exploited to link pseudodifferential operators and phase space path integrals to obtain a marching algorithm that incorporates the backward scattering into the evolution of the wave. This allows us to successfully apply single-sweep, one-way marching methods in inherently two-way environments, which was not achieved before through other methods for this problem.

Original languageEnglish (US)
Title of host publicationMATHEMATICAL MODELING OF WAVE PHENOMENA
Subtitle of host publication2nd Conference on Mathematical Modeling of Wave Phenomena
Pages286-295
Number of pages10
DOIs
StatePublished - May 5 2006
Externally publishedYes
EventMATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena - Vaxjo, Sweden
Duration: Aug 14 2005Aug 19 2005

Publication series

NameAIP Conference Proceedings
Volume834
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceMATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena
CountrySweden
CityVaxjo
Period8/14/058/19/05

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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