Berlin 2005 – scientific programme
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AK: Akustik
AK 2: Hochfrequenzakustik - akustische Oberfl
ächenwellen (Sitzungsorganisation: Eduard Chilla, Teltow)
AK 2.1: Talk
Friday, March 4, 2005, 14:30–14:45, TU EB222
Surface and plate waves in the piezoelectric systems with random rough boundaries — •A.V. Osetrov1 and E. Chilla2 — 1St. Petersburg State Electrotechnical University,Prof. Popov 5, 197376 St. Petersburg, Russia — 2Vectron International, Tele Filter GmbH, Potsdamer Str. 18, D-14513 Teltow, Germany
Theoretical and numerical solution was proposed for finding of surface and plate waves in piezoelectric half-infinite as well as and finite planar systems with random rough boundaries. No restrictions are introduced for the system material, hence arbitrary crystal class, cut of material, and direction of wave propagation can be investigated. The way of solution is well known transfer matrix approach, which was extended for the random rough boundary. Mechanical boundary conditions are free or clamped boundary, electrical boundary conditions are open or shorted boundary. Theoretical consideration of wave propagation with rough boundary was made in a frame of Rayleigh hypothesis. Statistical properties of boundary are described by the space correlation function, ensemble expectation of roughness is supposed to be equal zero. Ensemble expectation of solution can be done analytically and results in integrals over waves with different wave numbers. Boundary roughness results in appearance of damping for the major wave with existence of spurious bulk, surface and plate waves. Moreover additional waves can exist in such systems.