THE DOMINANT CUTOFF WAVELENGTH OF A LUNAR LINE

Abstract

A method is presented for caculating the lowest cut-off wavelength of a new microwave transmission line, lunar line, which is formed by 2 eccentric circular metal tubes, connected with a metal bar or tangential to each other. The lunarshaped cross section is approximated by introucing a series of steps in the outer guide wallAND IS DIVIDED INTO M FAN-SHAPE REGIONS. The solution of this multiple-step waveguide is carried out by introducing the parameter alpha sub i for individual regions. The radial boundary conditions require a combination of Bessel's functions of non-integer order for each region. The common boundaries between regions give m integral equations. These integral equations are solved by assuming an electric field at the common boundary. The solution of the m-stepped waveguide resuls in a system of 2 m eqations containing beta sub c, rho sub i, and alpha sub i, 2 m unknowns. A successive approximation method is applied to obtain the cut-off wavelength. The calculated value is in close agreement with experimental results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1961
Accession Number
AD0260332

Entities

People

  • Akira Ishimaru
  • Ann Y. Hu

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Electric Cables
  • Electric Fields
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Microwave Transmission
  • Microwaves
  • Shape
  • Transmission Lines
  • Waveguides

Fields of Study

  • Physics

Readers

  • Microwave Engineering.
  • Space Exploration and Orbital Mechanics.
  • Statistical inference.

Technology Areas

  • Space