Phase Space and Path Integral Methods Applied to Direct and Inverse Ocean Seismo-Acoustic Modeling

Abstract

The long-range objective is to develop and apply microscopic phase space methods and global path integral constructions to gain a deeper theoretical and computational understanding of electromagnetic, seismic, and acoustic direct and inverse wave propagation problems. Specifically, this project focuses on the development of new multidimensional algorithms for direct (forward) acoustic propagation and generalized acoustic tomography at the level of the reduced scalar Helmholtz equation. The introduction and widespread application of the parabolic (paraxial) approximation marked a significant advance in wave propagation modeling for ocean seismo-acoustic and other strong channeling environments. In many respects, this is a most natural motivation for the application of phase space factorization and path integral methods to the Helmholtz equation. (JHD)

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Document Details

Document Type
Technical Report
Publication Date
Nov 15, 1989
Accession Number
ADA214777

Entities

People

  • Louis Fishman

Organizations

  • Colorado School of Mines

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Tomography
  • Acoustics
  • Algorithms
  • Computational Science
  • Computations
  • Equations
  • Frequency
  • Helmholtz Equations
  • Integrals
  • Inverse Scattering
  • Mathematics
  • Path Integrals
  • Square Roots
  • Underwater Acoustics
  • Wave Phenomena
  • Wave Propagation

Readers

  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space