Scattering From a Lossless Sphere

Abstract

This report describes the results of a study of the fundamental issues in electromagnetic scattering theory with an emphasis on pole behaviors of a lossless sphere arising from the singularity expansion method (SEM). Mie theory is used to solve the acoustic and electromagnetic scattering problems for spheres with lossless boundary conditions and an incident plane wave. It is shown that, for certain lossless sheet impedance boundary conditions there exist second order poles for both cases. The general procedure to directly construct lossless sheet impedance boundary conditions that will produce high order poles is discussed, in addition to the difficulties that subsequently arise. For the electromagnetic scattering case, Foster's theorem is imposed on the impedance condition to ensure that a lossless scattering problem is obtained. The validity of the forward scattering theorem associated with the SEM is studied as well.

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Document Details

Document Type
Technical Report
Publication Date
Mar 13, 2009
Accession Number
ADA495402

Entities

People

  • Carl E. Baum
  • Edl Schamiloglu
  • Thomas Hagstrom
  • Xi Chen

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Impedance
  • Acoustic Scattering
  • Boundaries
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetic Scattering
  • Electromagnetism
  • Forward Scattering
  • Impedance
  • Magnetic Fields
  • Plane Waves
  • Spherical Harmonics
  • Three Dimensional
  • Transmission Lines
  • Wave Equations
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Microwave Engineering.