MULTIPLE SCATTERING BY ARBITRARY CONFIGURATIONS IN THREE DIMENSIONS

Abstract

A system of integral equations is derived in three dimensions which specifies the multiple scattering amplitudes for many objects in terms of corresponding functions for the isolated objects. For arbitrary configurations and large spacings, the amplitudes are expanded as series of single scattered functions and their derivatives; closed forms involving differential operators are derived for two objects. ForARBITRARY SPACINGS, THE AMPLITUDES ARE EXPANDED AS SERIES OF SPHERICAL HARMONICS TO OBTAIN ALGEBRAIC SETS OF EQUATIONS RELATING THE MULTIPLE AND SINGLE SCATTERING COEFFICIENTS. Series expansions are available for arbitrary configurations, and closed forms are given for two small objects. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0259945

Entities

People

  • Victor Twersky

Organizations

  • Sylvania Electric Products

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Coefficients
  • Equations
  • Functions (Mathematics)
  • Harmonics
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Scattering
  • Spherical Harmonics

Fields of Study

  • Mathematics
  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space
  • Space - Space Objects