The computation of ELF radio wave fields in the earth-ionosphere duct
Abstract
A technique for computing the Legendre functions which arise in the theory of propagation of ELF radio waves in the earth-ionosphere duct is presented. Four different representations of the Legendre functions are given in terms of hypergeometric series. The technique is shown to provide high precision using a much small number of terms than that required by alternative methods.
- Publication:
-
Journal of Atmospheric and Terrestrial Physics
- Pub Date:
- March 1989
- Bibcode:
- 1989JATP...51..233J
- Keywords:
-
- Earth Ionosphere;
- Extremely Low Radio Frequencies;
- Ionospheric Propagation;
- Legendre Functions;
- Asymptotic Methods;
- Electric Dipoles;
- Hypergeometric Functions;
- Lower Ionosphere;
- Very Low Frequencies