XXXIII International Conference on Plasma Physics and CF, February 13 – 17, 2006, Zvenigorod
WAVE BEAMS IN SMOOTHLY INHOMOGENEOUS ANISOTROPIC AND
GYROTROPIC MEDIA (ABERRATION-FREE APPROXIMATION)
A.A. Balakin, M.A. Balakina, G.V. Permitin, A.I. Smirnov
IAP RAS, Nizhny Novgorod, Russia,e-mail: mina@appl.sci-nnov.ru
In the present work the quasioptical description of wave beams in smoothly inhomogeneous
anisotropic (including gyroptropic) media is considered. For every type of eigen waves (e.g.
ordinary and extraordinary) the representation of the field of electromagnetic wave beam in view of
vectorial operator acting on scalar potentials has been derived. The scalar equation for these
potentials has been formulated also. On formal view it coincides with “quantified” geometrical
optical Hamiltonian. In frames of aberration-free approximation and with account of the wave beam
localization in the vicinity of the bearing curve (the central geometrooptical ray or the so called
reference ray) the parabolic equation for slowly varying field envelope is derived in accompanying
curvilinear coordinates system attached to the reference ray [1, 2]. Analytical solutions of the
discussed equation both in general view (with using of Green function) and for model initial
distributions including Hermitian functions are presented. Results of numerical simulation of
aberration-free equation both in simplest model media and for “real” ITER-like parameters are
displayed also.
References.
[1]. Smirnov A.I., Petrov E. Yu., in Proc. of 26th EPS Conf. on Contr. Fusion and Plasma Physics,
Maastriht, 14 – 18.06.99, 1999, ECA Vol. 23J, 1797.
[2]. Permitin G.V., Smirnov A.I., Zh. Eksp. Teor. Fiz., 2001, 119, 16.
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