Wave Propagation in a Plasma Based On the Cold Plasma Model
Wave Propagation in a Plasma Based On the Cold Plasma Model
H Weitzner
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Our goal is to uncover enough Information about the equations so that we may propose plausible methods for determining solutions without intervening slab or geometrical optics aporoximations. We would also like to make contact, where possible, with scattering and wave propagation problems in other areas of physics in order to validate any proposed solution methods. We start from the time harmonic variation form of Maxwell's equations V X E = -IB (1) V X R = in = ie(r, oj)-E (2) where e is the u...sual cold plasma dielectric tensor. In this form of Maxwell's equations we have assumed that r is non-dimensional and measured in units of c/w. For the cold plasma model e is hermitian and with coordinates in which the magnetic field is in the z direction - - (j) where v° -ibj a^ \ (3) -12- J Pi c . And where to (r) is the plasma frequency of the j — species and Q (r) is the corresponding cyclotron frequency. We could easily include a tensor permeability as well as tensor dielectric, but no new ideas are involved and there is little relevance to plasma physics.
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