A RADAR REFRACTION CORRECTION FOR SYMMETRIC AND NONSYMMETRIC TROPOSPHERIC INDEX DISTRIBUTIONS

Abstract

The purpose of this study is to approach the mathematics of the refraction problem from the basic differential equation of the ray path in a variable-velocity type of medium. The rue refraction mechanism, the gradient of the refractive index along the ray path irrespective of the symmetric properties of the medium is emphasized. In order to emphasize the source of ray theory, the radar refraction problem is initiated from an assumed field solution of MAXWELL'S EQUATIONS. A discussion of methods applicable to an atmosphere characterized by spherical symmetry is given. The concept is applied to the spherically symmetric atmosphere to fcilitate a detailed exaination of the approxmations made in the development of the method as well as to indicate the applicability of the concept to this widely used model. Initial investigation indicates excellent results are obtained at launch angles of 1 degree or less when true range is assumed known and the target position error due to bending is desired in the sphercally symmetric atmosphere characterized by regions of constant dn/dR. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1961
Accession Number
AD0287484

Entities

People

  • Donald C. Thorn
  • Ralph J. Rainey

Organizations

  • University of New Mexico

Tags

DTIC Thesaurus Topics

  • Atmospheres
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Refraction
  • Refractive Index
  • Symmetry

Fields of Study

  • Physics

Readers

  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.