Inverse Scattering Theory and Profile Reconstruction.

Abstract

An analytic method for the reconstruction of the profiles of refractive indices of inhomogeneous, stratified regions is presented. The reflection coefficient, r(k), for time-harmonic electromagnetic waves is represented as a rational function of k, the wave number. One-dimensional inverse scattering theory has been applied to obtain analytic, closed-form expressions for the profile functions, q(x), from r(k). The profile reconstruction method is demonstrated with a three-pole r(k), the yields q(x) which resembles an ionospheric electron density profile previously analyzed by direct scattering methods. The present communication generalizes previous results to oblique incidence and compares several q(x) obtained from different rational approximations to r(k). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 17, 1979
Accession Number
ADA068331

Entities

People

  • Arthur K. Jordan
  • Saeyoung Ahn

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analytic Functions
  • Complex Variables
  • Continuous Spectra
  • Differential Equations
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetic Scattering
  • Electron Density
  • Electrons
  • Equations
  • Integral Equations
  • Inverse Scattering
  • Physical Properties
  • Rational Functions
  • Refractive Index
  • Scattering
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Microelectronics