The eigenvalues of the equation for height factors in tropospheric propagation of radio waves
Abstract
The distance of propagation of radio waves around the surface of a spherical earth surrounded by an atmosphere whose permittivity depends only on height is determined by the imaginary parts of the eigenvalues of the equation for the height factors. This paper derives simple inequalities defining the region of possible location of the eigenvalues with an analytical dependence of the permittivity of the troposphere on height, especially with an exponential dependence corresponding to the barometric height formula. The results obtained make it quite evident that previously reported efforts to explain longdistance tropospheric propagation within the limits of an averaged model of the troposphere are untenable.
 Publication:

Radiotekhnika i Elektronika
 Pub Date:
 April 1975
 Bibcode:
 1975RaEl...20..673B
 Keywords:

 Differential Equations;
 Eigenvalues;
 Radio Transmission;
 Tropospheric Waves;
 Atmospheric Models;
 Atmospheric Refraction;
 Height;
 Ionospheric Propagation;
 Permittivity;
 Communications and Radar