Mode Coupling in VLF/LF Atmospheric Noise Models

Abstract

Tractable formulas are derived and tested for coupling among VLF/LF waveguide modes that occurs at boundaries separating regions of different ground conductivity. Although algebraically complicated, the formulas are easily programmed and require less computer running time than numerical mode-coupling algorithms used in exact computer codes. The formulas have two desirable features; (1) computational simplicity and (2) dependence on ground conductivity on either side of a transition (while depending only slightly on the conductivity variation within the transition itself). The formulas are subjected to three approximations, valid under most circumstances: (1) substitution of an equivalent parallel-plate waveguide for the actual waveguide in the short spatial interval that contains the conductivity boundary, (2) application of the WKB approximation, requiring that all conductivity changes in the transition zone be gradual (occurring over at least 1/6 wavelength), and (3) neglection of phase (only the magnitudes of the modes are used when performing certain numerical operations). Although derived for inclusion in future computer models of VLF/LF worldwide atmospheric noise, the mode-coupling formulas can be used in any application involving such a large number of propagation paths that the length of computer running time becomes a problem. Keywords: VLF/LF Propagation; Ground conductivity; Long-Wave communication; Strategic communication; Waveguide.

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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1987
Accession Number
ADA197639

Entities

People

  • C. R. Warber
  • E. C.

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Classification
  • Computers
  • Differential Equations
  • Electric Fields
  • Electrical Properties
  • Equations
  • New York
  • Nonlinear Differential Equations
  • North America
  • Radiation
  • Radio Waves
  • Refractive Index
  • Scattering
  • Security
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering