Refractive index profiles with a local resonance based on Heun's equation
Article first published online: 7 DEC 2012
Copyright 1980 by the American Geophysical Union.
Volume 15, Issue 1, pages 95–103, January-February 1980
How to Cite
1980), Refractive index profiles with a local resonance based on Heun's equation, Radio Sci., 15(1), 95–103, doi:10.1029/RS015i001p00095., and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Received: 12 APR 1979
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.