Two-Layer Model of Line-of-Sight Refractive Multipath Propagation,

Abstract

The two-layer model of the line-of-sight refractive multipath propagation was examined by employing the earth-flattening system of coordinates and the result was compared with an unpublished result carried out by other workers who studied the problem in the ray-straightening system. That these results should be identical is self-evident in principle provided the analysis is carried out rigorously. However, different approximations are used in the two methods, so it must still be demonstrated that the two methods given the same result in practice as well as in theory. The atmosphere is assumed to consist of two layers. The lower layer, which is immediately above the earth's surface, is a non-ducting one, typically the standard atmosphere, with a constant thickness, and the upper one is a ducting layer of sufficient thickness. On the condition that the height above the earth's surface and the elevation angle of the ray remain sufficiently small throughout the ray trajectory, it can be shown that the ray path in either layer may be approximated as a circular arc of appropriate radius. A comparison of our quartic equation from the Earth Flattening Method with the similar equation obtained from the Ray-Straightening Method shows that the two equations are essentially identical. Moreover, the results for the transit time between the terminals and the intensity of the received signals are also shown to be essentially the same.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA130474

Entities

People

  • Koichi Mano

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Amplitude
  • Angle Of Arrival
  • Cartesian Coordinates
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Equations
  • Euler Equations
  • Geometry
  • Line Of Sight
  • Multipath Transmission
  • Partial Differential Equations
  • Quadratic Equations
  • Quartic Equations
  • Radio Equipment
  • Refractive Index
  • Wave Equations

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Space Exploration and Orbital Mechanics.
  • Theoretical Analysis.