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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(2):285-313; doi:10.1093/qjmam/23.2.285
© 1970 by Oxford University Press
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RADIATION CONDITION FOR A MAGNETOPLASMA MEDIUM

S. R. SESHADRI and T. T. WU

( Department of Electrical Engineering, The University of Wisconsin Madison
Division of Engineering and Applied Physics, Harvard University Cambridge, Massachusetts )

This paper is concerned with the radiation condition for an unbounded magneto-plasma which is both anisotropic and dispersive. The usual form of the celebrated Sommerfeld radiation condition pertains to an isotropic and non-dispersive medium and is not applicable to a magnetoplasma. A technique based on the principle of causality for the resolution of the consequent ambiguity is discussed. The branch-points and the associated branch-cuts of the integrands in the Fourier integral representations of the two modes which compose the actual field component in a steady-state problem are examined with particular emphasis on certain of the branch-points which have been overlooked in the existing literature.


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