CHARACTERISTICS OF AN ELLIPTICAL ELECTRO-MAGNETIC RESONANT CAVITY OPERATING IN THE TE111 MODE

Abstract

Formulae are derived for the quality factor and resonant wave length of an elliptical resonant cavity operating in the TE sub 111 mode. Calculations are made and curves plotted for their variation with change in eccentricity for values of eccentricity less than 0.5. The necessary integrations are numerical using simplifying assumptions. For both the even and odd modes, the quality factor increased slightly as the eccentricity was increased from zero to a small value. A further increase in the eccentricity causes the quality factor for the even mode to decrease. The range of eccentricity (0 to 0.5) used was not sufficient to show the anticipated decrease for the odd mode. The eccentricity range considered was limited by the approximations used in the method of evaluation. The approximations were considered as fully justified for eccentricities less than 0.4 and subject to some error for eccentricities between 0.4 and 0.5.

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Document Details

Document Type
Technical Report
Publication Date
Apr 10, 1953
Accession Number
AD0008876

Entities

People

  • Theodore P. Higgins

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Cavity Resonators
  • Coordinate Systems
  • Electrical Engineering
  • Engineering
  • Equations
  • Frequency
  • Integral Equations
  • Interpolation
  • Mathematical Analysis
  • Military Research
  • Notation
  • Radiation
  • Two Dimensional
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

  • Aerospace Test and Evaluation
  • Plasma Physics / Magnetohydrodynamics
  • Structural Dynamics.