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We study the possibility for the implementation of linear wave structures on discrete grids with various dimensions. The systems of the first order differential equations for the set of virtual functions, describing the wave propagation,…

数值分析 · 数学 2019-01-01 Sergey Dvornikov , Maxim Dvornikov

We rigorously calculate the propagation and scattering of electromagnetic waves by rectangular and random arrays of dielectric cylinders in a uniform medium. For regular arrays, the band structures are computed and complete bandgaps are…

无序系统与神经网络 · 物理学 2009-11-07 Bikash C. Gupta , Yu-Yu Chen , Zhen Ye

This chapter is a pedagogical review of methods and results for studying wave propagation in one-dimensional complex structures. We describe and compare the tight-binding, scattering matrix, transfer matrix and Riccati formalisms. We…

光学 · 物理学 2012-11-02 Eric Akkermans , Gerald Dunne , Eli Levy

Slow waves and tunneling waves can meet at the cutoff wavelengths and/or transmission band edges of optical and quantum mechanical waveguides. The experimental investigation of this phenomenon, previously performed using various optical…

光学 · 物理学 2020-02-19 Yong Yang , M. Sumetsky

The interference at a wireless node s can be modelled by the number of wireless nodes whose transmission ranges cover s. Given a set of positions for wireless nodes, the interference minimization problem is to assign a transmission radius…

计算几何 · 计算机科学 2011-11-30 Majid Khabbazian , Stephane Durocher , Alireza Haghnegahdar

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

偏微分方程分析 · 数学 2018-12-05 Liliana Borcea , Josselin Garnier

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

软凝聚态物质 · 物理学 2021-01-26 Vladislav A. Yastrebov

This work describes a novel image analysis approach to characterize the uniformity of objects in agglomerates by using the propagation of normal wavefronts. The problem of width uniformity is discussed and its importance for the…

无序系统与神经网络 · 物理学 2009-11-10 Luciano da F. Costa , Giancarlo Mutinari , David Schubert

Epitaxial graphene mesas and ribbons are investigated using terahertz (THz) nearfield microscopy to probe surface plasmon excitation and THz transmission properties on the sub-wavelength scale. The THz near-field images show variation of…

介观与纳米尺度物理 · 物理学 2015-06-16 Oleg Mitrofanov , Wenlong Yu , Robert J. Thompson , Yuxuan Jiang , Igal Brener , Wei Pan , Claire Berger , Walter A. de Heer , Zhigang Jiang

Multiple Mach-Zehnder interferometers are constructed using fiber-Bragg grating couplers, y-branches, silicon waveguides, and/or broadband splitters in silicon on insulator strip waveguides to test the effect of variation in waveguide…

光学 · 物理学 2025-07-03 Cael Warner

The present paper is concerned with diffusion processes running on tubular domains with conditions on nonreaching the boundary, respectively, reflecting at the boundary, and corresponding processes in the limit where the thin tubular…

概率论 · 数学 2012-10-15 Sergio Albeverio , Seiichiro Kusuoka

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

经典物理 · 物理学 2021-09-15 Farhang Loran , Ali Mostafazadeh

This paper investigates the propagation characteristics of circular waveguides whose interior surface is coated with a thin metamaterial liner possessing dispersive, negative, and near-zero permittivity. A field analysis of this system…

光学 · 物理学 2014-05-13 Justin G. Pollock , Ashwin K. Iyer

We study the propagation of discrete solitons on chains of coupled optical waveguides where finite networks of waveguides are inserted at some points. By properly selecting the topology of these networks, it is possible to control the…

统计力学 · 物理学 2007-05-23 R. Burioni , D. Cassi , P. Sodano , A. Trombettoni , A. Vezzani

In this work, we present a computational analysis of the planar wave propagation behavior of a one-dimensional periodic multi-stable cellular material. Wave propagation in these materials is interesting because they combine the ability of…

应用物理 · 物理学 2019-11-19 Camilo Valencia , David Restrepo , Nilesh D. mankame , Pablo D. Zavattieri , Juan Gomez

The transmittance of intersection between narrow quantum strips is studied. It is assumed that strip widths are less than the electron wavelength, so that they are tunnel conductors. In this assumption the Schr\"odinger equation is reduced…

介观与纳米尺度物理 · 物理学 2026-05-06 L. Braginsky , M. V. Entin

Effective interface conditions for a periodically voided thin layer separating two homogeneous bulk regions are derived for the elastic wave equation by taking the simultaneous limit of vanishing layer periodicity and layer thickness. The…

偏微分方程分析 · 数学 2026-03-30 Markus Gahn , Tanja Lochner , Malte A. Peter

Motivated by phenomenological questions in quantum gravity, we consider the propagation of a scalar field on a random lattice. We describe a procedure to calculate the dispersion relation for the field by taking a limit of a periodic…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Hanno Sahlmann

We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the beam intensity in the nonlocal medium is derived thereby which…

斑图形成与孤子 · 物理学 2021-11-10 Houria Triki , Vladimir I. Kruglov

The propagation of waves in highly inhomogeneous media is a problem of interest in multiple fields including seismology, acoustics and electromagnetism. It is also relevant for technological applications such as the design of sound…

无序系统与神经网络 · 物理学 2013-05-29 Antonio M. Garcia-Garcia , Emilio Cuevas