Comparison of One-Way Wave Propagation Algorithms in Underwater Acoustics - Error Estimates and Sensitivity

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 acoustic, electromagnetic, and seismic direct and inverse wave propagation problems. This seems to be an appropriate approach for ocean seismo-acoustic modeling, which is characterized by rapidly changing, multidimensional environments extending over many wavelengths. Much of the mathematical development can indeed be motivated by the well-known parabolic (paraxial) approximation. Combining wave field splitting, invariant imbedding, and phase space (pseudo-differential and Fourier integral operator) methods has led to the development of both one- and two-way direct Helmholtz solvers, in addition to providing the framework for multidimensional profile reconstruction algorithms based on exact solution methods.

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Document Details

Document Type
Technical Report
Publication Date
Jan 06, 1992
Accession Number
ADA245660

Entities

People

  • Louis Fishman

Organizations

  • Colorado School of Mines

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Inverse Problems
  • Inverse Scattering
  • Partial Differential Equations
  • Path Integrals
  • Physical Theories
  • Physics Laboratories
  • Underwater Acoustics
  • Wave Equations
  • Wave Propagation

Readers

  • Linear Algebra
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space