ON THE PRINCIPLE OF LIMITING ABSORPTION,

Abstract

In practical problems of electromagnetic theory the sources producing the electromagnetic field have a sinusoidal time dependence. The resulting electromagnetic field is assumed to have this time dependence and the problem becomes a simpler one which is essentially time independent. This method of analysis yields the steady state solution. A para1llel problem concerns the principle of limiting absorption. In practical problems this principle states that if a boundary value problem is solved for a medium which is slightly conducting and then the conductivity is allowed to approach zero, the resaulting limit of the solution is the solution of the same boundary value problem in a non-conducting medium. This principle is important since it is often simpler in the mathematical analysis to introduce an arcificial cooonductivity in order that a solution may be more readily analyzed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0421062

Entities

People

  • Clyde D. Hill
  • D. M. Eidus

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Absorption
  • Boundaries
  • Boundary Value Problems
  • Complex Variables
  • Conductivity
  • Electromagnetic Fields
  • Electromagnetism
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Steady State
  • Theorems
  • Time Dependence

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Aerospace Test and Evaluation
  • Optical Physics and Photonics.