Linear interaction of electromagnetic waves in an inhomogeneous magnetoactive plasma

Bellyustin, N. S.

doi:10.1007/bf02121373

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2002

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“…Extensive studies are available on the propagation of waves of different nature in a neighborhood of the points where the phase velocity curves intersect or are in close proximity to each other. The case of radio waves in the ionosphere was discussed in [7][8][9][10]; acoustic waves in a liquid layer were dealt with in [11]; the interaction of elastic body and surface waves in a slightly anisotropic inhomogeneous medium was described in [12,13]. We also mention [14,15], which have a purely mathematical motivation.…”

Section: Introductionmentioning

confidence: 99%

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Perel

Fialkovsky

Kiselev

2002

Journal of Mathematical Sciences

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Propagation of modal solutions in a smoothly inhomogeneous Timoshenko beam is considered. An asymptotic description is given to the interaction of high-frequency bending and shear modes that occurs if their phase velocities intersect at some point at a nonzero angle. A similar problem on the propagation of discontinuities is also considered. The results are presented in the generalized form, so that they have applications to problems on the interaction of other types of waves, e.g., water waves, electromagnetic waves, etc. Bibliography: 19 titles.

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