In the present paper, the problem of light reflection from a birefringent medium and thin film is considered. First, the analytical equations governing the propagation of a plane and harmonic electromagnetic wave in an infinite, birefringent, linear, non-dispersive, non-absorbing, and non-magnetic medium is derived from Maxwell equations. Then, using phase matching condition and boundary condit...

the asymmetric problem of rocking rotation of a circular rigid disk embedded in a finite depth of a transversely isotropic half-space is analytically addressed. the rigid disk is assumed to be in frictionless contact with the elastic half-space. by virtue of appropriate green's functions, the mixed boundary value problem is written as a dual integral equation. employing further mathematica...

The response of a unidirectional composite plate of infirritc lateral dimensions to localized dynamic surface sourws is investigated through theoretical modeling and laboratory tests. In the theoretical sitnulations, the material ofthc plate is assumed to be dissipative and transversely isotropic with its symmetry axis parallel to the fibers. The source is assumed to hsrve an arbitrary spatial ...

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The freque...

This article presents decoupling n-times absorbing boundary conditions designed to model acoustic and elastic wave propagation in a 2D transversely isotropic (TI) medium. More general n-times boundary conditions with absorbing parameters are also obtained by cascading first-order differential operators with parameters. These boundary conditions are approximated with simple finite-difference sch...

In paper the problem of reflection and refraction a plane harmonic sound wave by homogeneous isotropic elastic plate with an continuously inhomogeneous anisotropic coating is considered. It assumed that adjoin to ideal fluids. The propagation small perturbations in fluid case steady state oscillations described Helmholtz’s equation. waves uniform scalar vector equations for longitudinal transve...

We present a simple iterative scheme to solve numerically a regularized internal wave model describing the large amplitude motion of the interface between two layers of different densities. Compared with the original strongly nonlinear internal wave model of Miyata [10] and Choi and Camassa [2], the regularized model adopted here suppresses shear instability associated with a velocity jump acro...