Determining of Echoing Area Characteristics of Various Objects - Infinite Systems of Linear Equations in an Infinite Number of Unknowns

Abstract

The solution of a large class of physical problems, including diffraction of electromagnetic waves by periodic structures, or combinations of simple scatterers, and resonance phenomena in enclosed spaces, lead to infinite systems of linear equations in an infinite number of unknowns. Conventional methods of solving finite sets of linear equations must be extended with care to the infinite system. This report is a brief summary of available information on the solution of such infinite systems, with emphasis on the important distinctions between the finite and infinite cases.

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Document Details

Document Type
Technical Report
Publication Date
May 12, 1951
Accession Number
ADA800239

Entities

People

  • Edward M. Kennaugh
  • Edward R. Fadell
  • J. E. Adney Jr.

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algebra
  • Coefficients
  • Complex Numbers
  • Contracts
  • Convergence
  • Electrical Engineering
  • Engineering
  • Equations
  • Government Procurement
  • Governments
  • Law
  • Linear Algebraic Equations
  • Mathematics
  • New Jersey
  • Numbers
  • Sequences
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Radar Systems Engineering.
  • Regression Analysis.

Technology Areas

  • Space