A full-wave analysis of an inhomogeneous waveguide region with both planar and circular cylindrical boundaries is presented in this paper. Circular cylindrical modal functions are used to represent the fields. Field matching on the planar walls and apertures is rigorously achieved by the finite plane-wave series expansion of each modal field, whereas the addition theorem for cylindrical waves i...

A dielectric plasmonic photonic crystal for manipulating surface plasmon polariton SPP fields has been designed, fabricated, and tested. The band structure of SPP fields inside the plasmonic photonic crystal has been calculated using the plane wave expansion method and validated by full wave numerical simulations. The fabricated device was characterized using our far-field SPP imaging technique...

In this work G'/G-expansion method has been employed to solve (2+1)-dimensional dispersive long wave equation. It is shown that G'/G-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.

Small elastic vibrations of two particulate composites that are caused by a non-plane time-harmonic wave are investigated. Effects of the adhesive interface and distinct periodic structures on the transmission and reflection of acoustic waves are rigorously analyzed. A two-scale asymptotic expansion with interfacial correctors is introduced to account for the macroand micromechanical effects on...

Contents 1 Introduction 143 2 Derivation of NLSE from wave propagation 144 3 Derivation of NLSE from BEC 146 3.1 Dimensionless GPE 148 3.2 Reduction to lower dimension 148 4 The NLSE and variational formulation 150 4.1 Conservation laws 150 4.2 Lagrangian structure 151 4.3 Hamiltonian structure 152 4.4 Variance identity 153 5 Plane and solitary wave solutions of NLSE 157 6 Existence/blowup resu...

Breaking waves have ability to transport large quantities of sediment and significant impact on coastal structures morphology. Hence, modeling of wave breaking is an important subject in coastal and marine engineering. In this research, the periodic wave breaking process on a plane slope is studied experimentally and numerically. Laboratory experiments were conducted to record water surface ele...

In this paper, the reflection and refraction of longitudinal wave from a plane surface separating a micropolar viscoelastic solid half space and a fluid saturated incompressible half space is studied. A longitudinal wave (P-wave) impinges obliquely at the interface. Amplitude ratios for various reflected and transmitted waves have been obtained. Then these amplitude ratios have been computed nu...

The aim of this paper is to discuss simulation methods of diffraction of electromagnetic waves on biperiodic structures. The region with complicated structures is discretised by Nédélec Finite Elements. In the unbounded homogeneous regions above and below, a plane wave expansion containing the exact far-field pattern is applied. A consistent coupling is achieved by the method of Nitsche. By num...

When plane-wave destruction (PWD) is implemented by implicit finite differences, the local slope is estimated by an iterative algorithm. We propose an analytical estimator of the local slope that is based on convergence analysis of the iterative algorithm. Using the analytical estimator, we design a noniterative method to estimate slopes by a three-point PWD filter. Compared with the iterative ...

In this paper, a new all-optical switching structure is proposed and analyzed. Switching is accomplished by embedded Kerr nonlinear rods in the coupling region of a photonic crystal directional coupler. We show that by modifying the supermodes dispersion curves, the switch length can be reduced 22% with respect to similar structures. Finite-Difference TimeDomain and Plane Wave Expansion methods...