The Asymptotic Behavior of an Exponential-Type Series.

Abstract

The limit of a certain function of three variables is shown to be exponential in one variable and independent of the other two. The function is a generalization of an infinite series arising in the calculation of backscattering of sharp laser pulses in an infinite cloud of isotropic scatterers. Convexity of the function in a particular region enables the evaluation of the asymptotic behavior without extensive algebraic manipulations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA162574

Entities

People

  • Charles S. Kenney
  • William O. Alltop

Organizations

  • Naval Air Weapons Station China Lake

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Backscattering
  • Classification
  • Electromagnetic Radiation
  • Electromagnetic Scattering
  • Equations
  • Infinite Series
  • Intensity
  • Laser Pulses
  • Mathematics
  • Monitoring
  • Scattering
  • Security
  • Test And Evaluation
  • Wave Phenomena

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Directed Energy