Refractive index profiles with a local resonance based on Heun's equation
Abstract
The propagation of electromagnetic waves in inhomogeneous magnetoactive plasmas is studied. In particular, the so-called extraordinary mode is considered. The starting point is the Fuchsian equation with four singular points: Heun's equation. Transformations are developed that transform Heun's equation into a Helmholtz equation. In this way, refractive index profiles accommodating a local resonance are generated. These refractive index profiles are connected with plasma density profiles through the dispersion relation for the extraordinary mode. The thus generated plasma density profiles contain a number of adjustable parameters.
- Publication:
-
Radio Science
- Pub Date:
- January 1980
- DOI:
- 10.1029/RS015i001p00095
- Bibcode:
- 1980RaSc...15...95V
- Keywords:
-
- Cold Plasmas;
- Electromagnetic Wave Transmission;
- Nonuniform Plasmas;
- Plasma Resonance;
- Plasma-Electromagnetic Interaction;
- Refractivity;
- Atmospheric Refraction;
- Density Distribution;
- Differential Equations;
- Helmholtz Equations;
- Ionospheric Propagation;
- Plasma Density;
- Propagation Modes