SCATTERING BY SPHERICALLY SYMMETRIC INHOMOGENEITIES.

Abstract

The Jost function formulation of quantum scattering theory is applied to classical problems involving the scattering of a scalar plane wave by a medium in which the velocity is a function only of the spherical radial coordinate. This technique is used to solve the radial differential equation for scattering from a constant spherical inhomogeneity and from two constant concentric spherical inhomogeneous layers and is compared with the standard method of partial waves for these two cases. The radial equation can be converted into an integral equation incorporating the Jost boundary conditions. The l=0 partial wave integral equation for a constant inhomogeneity is solved using an iteration procedure (the first two iterations are considered). (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 07, 1969
Accession Number
AD0696528

Entities

People

  • George V. Frisk

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Plane Waves
  • Scattering
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.
  • Linear Algebra
  • Seismology

Technology Areas

  • Quantum Computing