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A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The entries of the scattering matrix, as…

光学 · 物理学 2022-06-29 Hongyao Wu , Lijun Yuan , Ya Yan Lu

The performance of collaborative beamforming is analyzed using the theory of random arrays. The statistical average and distribution of the beampattern of randomly generated phased arrays is derived in the framework of wireless ad hoc…

信息论 · 计算机科学 2016-08-31 Hideki Ochiai , Patrick Mitran , H. Vincent Poor , Vahid Tarokh

We consider the problem of embedding a dynamic network, to obtain time-evolving vector representations of each node, which can then be used to describe changes in behaviour of individual nodes, communities, or the entire graph. Given this…

机器学习 · 统计学 2022-01-21 Ian Gallagher , Andrew Jones , Patrick Rubin-Delanchy

We report on the creation of new lasing modes with spatially nonuniform distributions of optical gain in a one-dimensional random structure. It is demonstrated numerically that even without gain saturation and mode competition, the spatial…

光学 · 物理学 2009-11-12 Jonathan Andreasen , Hui Cao

The nonreciprocal wave propagation in PT-symmetric periodic stack of binary dielectric layers characterised by balances loss and gain is analysed. The main mechanisms and resonant properties of the scattered plane waves are illustrated by…

光学 · 物理学 2015-05-12 Oksana Shramkova , Giorgos Tsironis

We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response…

斑图形成与孤子 · 物理学 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

Nodes in ad hoc networks with randomly oriented directional antenna patterns typically have fewer short links and more long links which can bridge together otherwise isolated subnetworks. This network feature is known to improve overall…

信息论 · 计算机科学 2017-06-29 Orestis Georgiou , Carl P. Dettmann , Justin P. Coon

Coherent control has enabled various novel phenomena in wave scattering. We introduce an effect called coherent orthogonal scattering, where the output wave becomes orthogonal to the reference output state without scatterers. This effect…

光学 · 物理学 2024-08-13 Cheng Guo , Shanhui Fan

We study mechanical structures composed of spatial four-bar linkages that are bistable, that is, they allow for two distinct configurations. They have an interpretation as quad nets in the Study quadric which can be used to prove existence…

度量几何 · 数学 2026-04-02 Gudrun Szewieczek , Daniel Huczala , Martin Pfurner , Hans-Peter Schröcker

We analyze the formation of one-dimensional localized patterns in a nonlinear dissipative medium including a set of two narrow "hot spots" (HSs), which carry the linear gain, local potential, cubic self-interaction, and cubic loss, while…

斑图形成与孤子 · 物理学 2011-12-09 Cheng Hou Tsang , Boris A. Malomed , Kwok Wing Chow

We review the properties of nonlinear, multidimensional localized waves whose stationary propagation is sustained by a dynamic equilibrium between self-focusing and nonlinear losses. Their finite-energy versions preserve light bullet…

光学 · 物理学 2017-12-27 Miguel A. Porras

This paper is concerned with the characterization of the relationship between topology and traffic dynamics. We use a model of network generation that allows the transition from random to scale free networks. Specifically, we consider three…

网络与互联网体系结构 · 计算机科学 2007-05-23 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

We observe linear and nonlinear light localization at the edges and in the corners of truncated moir\'e lattices created by the superposition of periodic mutually-twisted at Pythagorean angles square sublattices. Experimentally exciting…

We study the propagation of solitons on complex chains built by inserting finite graphs at two sites of an unbranched chain. We compare numerical findings with the results of an analytical linear approximation scheme describing the…

斑图形成与孤子 · 物理学 2007-05-23 R. Burioni , D. Cassi , P. Sodano , A. Trombettoni , A. Vezzani

We report the experimental observation of nonlinear light localization and edge soliton formation at the edges of fs-laser written trimer waveguide arrays, where transition from non-topological to topological phases is controlled by the…

We investigate the dynamical response of a mass defect in a one-dimensional non-loaded horizontal chain of identical spheres which interact via the nonlinear Hertz potential. Our experiments show that the interaction of a solitary wave with…

材料科学 · 物理学 2015-05-13 S. Job , F. Santibanez , F. Tapia , F. Melo

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

统计力学 · 物理学 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

We develop the theory of a special type of scattering state in which a set of asymptotic channels are chosen as inputs and the complementary set as outputs, and there is zero reflection back into the input channels. In general an infinite…

光学 · 物理学 2020-12-09 William R. Sweeney , Chia Wei Hsu , A. Douglas Stone

The coexistence of semiconducting (2H) and metallic (1T) phases of MoS$_{2}$ monolayers have further pushed their strong potential for applications in the next generation of electronic devices based on the two-dimensional lateral…

计算物理 · 物理学 2021-12-01 Mohammad Bahmani , Mahdi Ghorbani-Asl , Thomas Frauenheim

Tunneling conductance spectra of normal metal/insulator/superconductor (N/I/S) junctions are calculated to determine the potential of tunneling spectroscopy in investigations of topological superconductivity. Peculiar feature of topological…