Download PDF by Don Dissanayake: Acoustic Waves

By Don Dissanayake

ISBN-10: 9533071117

ISBN-13: 9789533071114

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A novel approach for modeling and simulation of electromagnetic waves in anisotropic dielectrics. Int. J. ; Guo, S. H. (2006). Piezoelectromagnetic waves guided by the surface of a ceramic cylinder. China 1. Introduction Natural multilayers can be frequently observed, like the layered soils and rocks for example (Kausel & Roesset, 1981; Kennett, 1983). They are also increasingly used as artificial materials and structures in engineering practices for their high performances (Nayfeh, 1995). For instances, cross-ply and fibrous laminated composites have been applied in naval vessels, aeronautical and astronautical vehicles, and so on for the sake of high strength and light weight (Nayfeh, 1995); piezoelectric thin film systems have been used in various surface acoustic wave (SAW) and bulk acoustic wave (BAW) devices in electronics and information technology in order to accomplish smaller size, lower energy consumption, higher operating frequency and sensitivity, greater bandwidth, and enhanced reception characteristics (Auld, 1990; Adler, 2000).

3 Modal equation of electromagnetic waves in piezoelectric solids When electromagnetic waves are involved, the complete set of Maxwell equation needs to be used, coupled to the static mechanical equations as follows Δ i*σ i * = 0 {Δ } E * I * I {Δ } H * I i = 1, 2," , m { } I = 1−n (156) { } I =1−n (157) = −∇t ϑI* BI* * I (155) = ∇t φI* DI* Substituting Eq. 4 Eigen properties of polarized ceramics In this section, we discuss the propagation laws of piezoelectromagnetic waves in an polarrized ceramics poled in the x3 -direction.

2. The top and bottom surfaces of the multilayered anisotropic structure vˆ 12 (0) = TE vˆ 1E , Tv vˆ ( N + 1) N (0) = TE vˆ (EN + 1) (22) where TE =< TuE , Tσ E > is a transformation matrix with TuE = I nv /2 and Tσ E = −I nv /2 ; Tv =< Tu , Tσ > is also a transformation matrix, with Tu =< −1,1, −1 > and Tσ =< 1, −1,1 > for elastic layers and Tu =< −1,1, −1, −1 > and Tσ =< 1, −1,1,1 > for piezoelectric layers. Here < ⋅ > denotes the (block) diagonal matrix with elements (or sub-matrices) only on the main diagonal and I nv /2 represents the identity matrix of order nv / 2 .

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Acoustic Waves by Don Dissanayake

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