DIFFRACTION BY A PERFECTLY CONDUCTING SEMI-INFINITE SCREEN IN AN ANISOTROPIC PLASMA

Abstract

The scattering of a plane electromagnetic wave by a perfectly conducting semi-infinite screen embedded in a homogeneous plasma is investigated. A uniform magnetic field is assumed to be impressed externally in a direction parallel to the edge of the half-plane. The plasma is idealized by a dielectric characterized by a tensor dielectric constant. The direction of the incident wave is assumed to be in a plane perpendicular to that of the screen. This vector problem is separable into two equivalent scalar problems for which either the electric or the magnetic vector is parallel to the edge of the half-plane. It is found that for the case of the E-mode, the magnetic vector parallel to the edge of the halfplane satisfies a simple wave-equation and a new type of impedance boundary condition on the screen. This problem is formulated in terms of an integral equation which specifies the current induced on the screen. The integral equation is of the Wiener-Hopf type and is solved by the usual function-theoretic methods. A surface wave is found to exist for one orientation of the external magnetic field and the characteristics of this surface wave are determined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1962
Accession Number
AD0291918

Entities

People

  • A.k. Rajagopal
  • S.r. Seshadri

Organizations

  • Harvard University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Dielectric Permittivity
  • Diffraction
  • Equations
  • Impedance
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • Mathematics
  • Orientation (Direction)
  • Scattering
  • Surface Waves
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Plasma Physics / Magnetohydrodynamics