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Abstract |
Second Harmonics of Non-Linear SH and
P-SV Normal Waves in Monocrystal Germanium Plate Waveguide
K.Kurennaya, V.A.Shpack (Department of
Elasticity Theory and Computational Mathematics, Donetsk National University,
Donetsk, Ukraine)
e-mail:
storozhev@matfak.dongu.donetsk.ua
The
results of hybrid numerical-analytical analysis of spectral boundary problems
of higher harmonics of monochromatic traveling and edges standing normal waves,
and also higher combinative harmonicses of interacting normal waves in cubic
crystal laminas - waveguides of three-dimensional geometry are presented. The
solutions of these problems for single-crystal waveguides of a cubic system are
constructed in an analytic form with draft on funds of computer support of
analytical transformations. The properties of second harmonics of monochromatic
normal waves and combination-frequencies harmonics of normal SH and P-SV waves
along the directions of elastic symmetry of a crystal lamina are investigated
and generalized. The amplitude-frequency dependences and distribution in depth
of power flows of traveling normal waves are investigated for second harmonics
in a waveguide from a cubic crystal of germanium with free flat edges. A
regularity of three-phonon interactions of second harmonics of normal waves,
which belong to different modes of the dispersion spectrum of crystal germanium
plate is investigated qualitatively and quantitatively.
Section
: 1