The numerical calculation of wave-fields, relexion coefficients and polarizations for long radio waves in the lower ionosphere. I
- 11 March 1965
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 257 (1079) , 219-241
- https://doi.org/10.1098/rsta.1965.0004
Abstract
The wave-fields inside a horizontally stratified ionosphere produced by a radio wave incident at any angle from below are calculated by integrating the governing differential equations. An improved method of obtaining two independent solutions of these equations is described in some detail. For the first solution, the polarization of the wave incident on to the ionosphere from below is chosen so that no energy is propagated to great heights (i.e. no energy in the ‘whistler mode’) ; the second solution has the incident polarization chosen to maximize this energy. In each case, a complex reflexion coefficient is derived from the relative amplitude and phases of the upgoing and downgoing waves in free space below the ionosphere, and the polarizations of the downgoing wave are also studied. The method which is usable on a small computer, is applicable for any angles of incidence, azimuth and dip, and for any height variation of the model ionosphere.Keywords
This publication has 8 references indexed in Scilit:
- The numerical calculation of wave-fields, reflexion coefficients and polarizations for long radio waves in the lower ionosphere. IIPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1965
- The numerical solution of differential equations governing the reflexion of long radio waves from the ionosphere. IVProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961
- The numerical solution of differential equations governing the reflexion of long radio waves from the ionosphere. IIIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1959
- Runge-Kutta Methods for Integrating Differential Equations on High Speed Digital ComputersThe Computer Journal, 1958
- The numerical solution of differential equations governing reflexion of long radio waves from the ionosphereProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955
- A reciprocity theorem on the propagation of radio waves via the ionosphereMathematical Proceedings of the Cambridge Philosophical Society, 1954
- Coupled forms of the differential equations governing radio propagation in the ionosphereMathematical Proceedings of the Cambridge Philosophical Society, 1954
- Propagation of wave-packets incident obliquely upon a stratified doubly refracting ionospherePhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1938