Generalized characteristic functions applied to propagation in bounded inhomogeneous anisotropic media - Reciprocity and energy relationships

Details Generalized characteristic functions applied to propagation in bounded inhomogeneous anisotropic media - Reciprocity and energy relationships Generalized characteristic functions applied to propagation in bounded inhomogeneous anisotropic media - Reciprocity and energy relationships

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jatp...41..565b&link_type=abstract

Journal of Atmospheric and Terrestrial Physics, vol. 41, June 1979, p.565-578. Research supported by the University of Nebraska

Mathematics

Anisotropic Media, Plasma-Electromagnetic Interaction, Radio Transmission, Wave Propagation, Ionospheric Propagation, Matrices (Mathematics), Nonuniform Plasmas, Scattering Coefficients, Transformations (Mathematics), Traveling Waves, Wave Reflection

Scientific paper

The problems of radio wave propagation, in bounded inhomogeneous anisotropic media, can be expressed as sets of four simultaneous first order differential equations with variable coefficients. A nonsingular transformation matrix which consists of generalized characteristic vectors is introduced to diagonalize the coefficient matrix even when two or more of its characteristic values are equal. Thus, the original set of differential equations for the transverse electromagnetic field components are converted into loosely coupled generalized characteristic functions. These generalized characteristic solutions are suitable for regions where there is strong coupling between the upward and downward traveling ordinary and extraordinary waves. In this work, numerical solutions are presented for the transmission and reflection scattering coefficients that characterize a bounded inhomogeneous plasma in an arbitrarily oriented magnetic field. These numerical solutions for arbitrary excitations are shown to be consistent with the adjoint reciprocity conditions for dissipative anisotropic media and also with energy conservation for nondissipative media.

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