Abstract
The propagation of acoustic waves in a homogeneous isotropic semiconducting layer sandwiched between two homogeneous transversely isotropic piezoelectric halfspaces has been investigated. The mathematical model of the problem is depicted by a set of partial differential equations of motion, Gauss equation in piezoelectric material and electron diffusion equation in semiconductor along with the boundary conditions to be satisfied at the piezoelectric-semiconductor interfaces. The secular equations describing the symmetric and asymmetric modes of wave propagation have been derived in compact form after obtaining the analytical expressions for various field quantities that govern the wave motion. The complex secular equation has been solved numerically using functional interaction method along with irreducible cardano method. The computer simulated results are obtained with the help of MATLAB software for 6 mm cadmium selenide (CdSe) piezoelectric material and n-type silicon (Si) semiconductor in respect of dispersion curve, attenuation and specific loss factor of energy dissipation for symmetric (sym) and asymmetric (asym) modes of wave propagation. The study may find applications in non-destructive testing, resonators, waveguides etc.
Highlights
Lord Rayleigh [1] was the first who described the surface acoustic waves in connections with earthquake problems
The computer simulated results are obtained with the help of MATLAB software for 6mm cadmium selenide (CdSe) piezoelectric material and n-type silicon (Si) semiconductor in respect of dispersion curve, attenuation and specific loss factor of energy dissipation for symmetric and asymmetric modes of wave propagation
We present the discussion of the results obtained through computer simulations from the analytical developments in the previous sections for a sandwich structure consisting of n-type silicon Si layer and cadmium selenide CdSe halfspaces, whose material parameters and constants are defined as [11]: 1) Piezoelectric halfspace: c11 7.41 1010 Nm 2, c13 3.93 1010 Nm 2, c33 8.36 1010 Nm 2, c44 1.32 1010 Nm 2, e31 0.160 Cm 2, e33 0.347 Cm 2, e15 0.138 Cm 2, 11 8.26 1011 C2 N 1m 2
Summary
Lord Rayleigh [1] was the first who described the surface acoustic waves in connections with earthquake problems. White [5] predicted that an acoustic wave propagating in a piezoelectric semiconductor can be amplified under the effect of a dc electric field. Sharma et al [11] have analyzed the propagation of surface waves in a piezoelectric halfspace coated with a semiconductor layer. Wu and Zhu [12] studied the Lamb wave propagation in a plate bordered with inviscid liquid layers and found that the acoustic impedance approach is valid when the plate thickness is much smaller than the wavelength of transverse wave in the solid. Sharma and Pathania [13] studied thermoelastic waves in a homogeneous isotropic plate bordered with inviscid liquid layers. Keeping in view the wide range applications and above referred work an attempt is made to study the acoustic waves in a sandwich structure consisting of semiconducting layer between two piezoelectric halfspaces. The effect of variation of semiconducting layer thickness on the considered wave fields has been taken in account to show the wave guide nature of the thin layer composite structure
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