In this paper, the localized TM surface waves of a nonlinear self-focusingleft-handed slab sandwiched between a uniform medium and a one-dimensionalphotonic crystal (1D PC) is analytically investigated. Our method is based on the firstintegral of the nonlinear Maxwell's equations. For the TM surface waves, the presenceof two electric field components makes the analysis difficult. Therefore, we ...

the present paper studies the possibility of propagation of torsional surface waves in an inhomogeneous anisotropic layer lying between two heterogeneous half-spaces (upper and lower half-space). both the half-spaces are assumed to be under compressive initial stress. the study reveals that under the assumed conditions, a torsional surface wave propagates in the medium. the dispersion relation ...

the main objective of this project was to investigate the behavior and the damaging effects of hot tear segregationsin the continuously cast steel blooms on the final product quality. to achieve this aim, plant data from three differenttypes of steels were used. investigations using the scanning electron microscope (sem) equipped with energydispersive x-ray spectroscopy (eds) probe and metallog...

This paper presents a procedural model for breaking ocean waves that is intended to be used for interactive visualization. The movement as well as the appearance of the waves is modelled by a set of functions in dependence of time and space. This continuous surface description allowes it to calculate all properties of every point (including foam) on the ocean surface at every time without any i...

Three-dimensional (3D) continuous microparticle focusing has been achieved in a single-layer polydimethylsiloxane (PDMS) microfluidic channel using a standing surface acoustic wave (SSAW). The SSAW was generated by the interference of two identical surface acoustic waves (SAWs) created by two parallel interdigital transducers (IDTs) on a piezoelectric substrate with a microchannel precisely bon...

This paper is devoted to study a problem of plane waves reflection at a traction-free surface of a pre-stressed functionally graded piezoelectric material (FGPM). The effects of initial stress and material gradient on the reflection of plane waves are studied in this paper. Secular equation has been derived analytically for the pre-stressed FGPM half-space and used to show the existence of two ...

The d-dimensional discrete Schrödinger operator whose potential is supported on the subspace Zd2 of Zd is considered: H = Ha+VM , where Ha = H0+Va, H0 is the d-dimensional discrete Laplacian, Va is a constant “surface” potential, Va(x) = aδ(x1), x = (x1, x2), x1 ∈ Zd1 , x2 ∈ Zd2 , d1 + d2 = d, and VM (x) = gδ(x1) tanπ(α · x2 + ω) with α ∈ Rd2 , ω ∈ [0, 1). It is proved that if the components of...

We study the discrete Schrödinger operator H in Zd with the surface potential of the form V (x) = gδ(x1) tan π(α · x2 + ω), where for x ∈ Zd we write x = (x1, x2), x1 ∈ Zd1, x2 ∈ Zd2 , α ∈ Rd2 , ω ∈ [0, 1). We first consider the case where the components of the vector α are rationally independent, i.e. the case of the quasi periodic potential. We prove that the spectrum of H on the interval [−d...