THE IMPEDANCE OF ELLIPTIC WAVEGUIDE (FOR THE H SUB EL MODE),

Abstract

The report presents two methods for obtaining the impedances of elliptic waveguide: (1) using the exact theory, and (2) an approximate method using trial fields. In the exact solution the integrals involving Mathieu functions were solved by computer using the Gaussian quadratures method. The exact and the approximate results are plotted for comparison. The expressions giving the approximate impedances are within 6% of the exact values in all cases. The exact cut-off wavelength was obtained from the boundary conditions. Kihara's cut-off wavelength is also compared to the exact wavelength obtained in this study. The approximate wavelength is within 1%. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 11, 1959
Accession Number
AD0654410

Entities

People

  • G. R. Valenzuela

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Computers
  • Gaussian Quadrature
  • Impedance
  • Integrals
  • Mathematics
  • Waveguides

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Microwave Engineering.