Nonlinear dispersive wave equations arise naturally in scientific and engineering fields such as fluid dynamics, electromagnetic theory, quantum mechanics, optical communication, nonlinear optics etc. Many important questions (both in theory and applications) are related to the interaction of two effects: energy spreading (dispersion, diffraction) and energy concentrating (nonlinear self-trappi...

Diffraction loss and the shadow of diffraction, which account for the growth of trees based on wireless sensors, longdistance, real-time, and accurate automatic acquisition of environmental information, were presented to meet the requirements for a wireless sensor network in a forest. Considering electromagnetic wave propagation, which accounts for the scattering and absorption behavior of plan...

A superoscillation wave is a special superposition of propagating electromagnetic (EM) waves which varies with sub-diffraction resolution inside a fixed region. This special property allows superoscillation waves to carry sub-diffraction details of an object into the far-field, and makes it an attractive candidate technology for super-resolution devices. However, the Shannon limit seemingly req...

The problem of plane-wave diffraction on semi-infinite orthorhombic electromagnetic photonic crystals of a general kind is considered. Boundary conditions are obtained in the form of infinite system of equations relating amplitudes of incident wave, eigenmodes excited in the crystal, and scattered spatial harmonics. The generalized Ewald-Oseen extinction principle is formulated on the base of d...

Manuscript received September 11, 2011 * Corresponding author; E-mail: [email protected] Abstract— The diffraction fields and the shadow of standing tree diffraction are solved by using polygons to approximately take the place and approximation as approximate substitutes of for the circle. The algorithm model of ray path tracing is computed by tracing the ray path on standing tree. Considering el...

This paper presents an extension to electromagnetic fields of the wave automaton, which was introduced in recent years for describing wave propagation in inhomogeneous media. Using elementary processes obeying a discrete Huygens’ principle and satisfying fundamental symmetries such as time reversal and reciprocity, this new wave automaton is capable of modeling Maxwell’s equations in 3+1 dimens...

The diffraction of electromagnetic and light waves by an aperture in a plane conducting screen is a classical boundary value problem. As is well known, theoretical analysis aims at a solution of the vector Maxwell equations, which incorporates a prescribed form of excitation and satisfies appropriate boundary conditions on the screen and in the aperture. A small measure of progress towards this...

The Richards-Wolf approach to analyze tight focusing by high numerical aperture aplanatic optical systems can only be applied to incident waves having a planar (or negligibly curved) wavefront at the entrance pupil. In some cases, however, such as certain singular beams, the incident wave can be represented by a wavefront with, approximately, piecewise constant phase. For wavefronts of this kin...

We analyze the propagation of electromagnetic modes guided by periodic plasmonic structures. We use full-wave solutions of Maxwell equations to calculate dispersion of these modes and derive analytical description of their optical properties. Finally, we demonstrate that, at a certain frequency range that can be controlled by the geometry, diffraction of these guided states is strongly suppress...