Signal Processing Studies and Analysis. Volume VII. Three-Dimensional Electromagnetic Short Pulse Inverse Scattering with Equatorial Derivative Scattering Data.

Abstract

It has previously been shown that the general solution to the three dimensional Electromagnetic Short Pulse Inverse scattering problem for perfectly conducting, arbitrarily shaped scatterers, can be represented uniquely by a three dimensional Fourier transform; more specifically, that the quotient of the monostatically far-scattered spectra to the incident spectra (in three dimensional wave number k-space) and the characteristic function (in three dimension space) of the scatterer are three dimensional Fourier transform pairs. One of the three dimensional functions involved is a characteristic function (i.e.: the characteristic function of the scatterer, which in unity inside and zero outside the surface of the scatterer respectively), thus lending the three dimensional Fourier transform relationship additional restrictive properties. The above mentioned additional restrictive properties lent to the three dimensional Fourier transform relationship are developed in this paper yielding a complete three dimensional solution for the geometry of an arbitrarily shaped scatterer in terms of two dimensional k-space scattering data and its orthogonal derivatives. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0845127

Entities

People

  • Norbert N. Borjarski

Organizations

  • SRC Inc.

Tags

DTIC Thesaurus Topics

  • Diffraction
  • Geometry
  • Inverse Scattering
  • Mathematics
  • Scattering
  • Signal Processing
  • Spectra
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Space