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In this paper, the aperture field estimation technique and generalized adiabatic Floquet-wave expansion method is developed for two-dimensional temporally modulated anisotropic holograms. The determinant equations for propagation…

Applied Physics · Physics 2022-06-03 Amrollah Amini , Homayoon Oraizi , Mostafa Movahediqomi , Mohammad Moein Moeini

The nonlinear propagation of 3D wave-packets in a 1D Bragg-induced band-gap system, shows that tranverse effects (free space diffraction) affect the interplay of periodicity and nonlinearity, leading to the spontaneous formation of fast and…

Optics · Physics 2008-07-03 A. Di Falco , C. Conti , S. Trillo

This study explores the use of fractional calculus as a possible tool to model wave propagation in complex, heterogeneous media. We illustrate the methodology by focusing on elastic wave propagation in a one-dimensional periodic rod. The…

Classical Physics · Physics 2018-12-05 John Hollkamp , Mihir Sen , Fabio Semperlotti

Optical beams with certain asymmetric profiles, such as the Airy beam, can depart from rectilinear propagation and instead travel along curved (typically parabolic) trajectories. Here we show that sculpting the spatiotemporal spectrum of…

Optics · Physics 2025-09-03 Layton A. Hall , Ayman F. Abouraddy

In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct width, and current. We show that both global and bounded…

Fluid Dynamics · Physics 2021-12-08 Semyon Churilov , Yury Stepanyants

In this work, we investigate non-Hermitian acoustic waveguides designed with periodically applied feedback efforts using electrodynamic actuators. One-dimensional spectral (infinite-dimensional) and finite element (finite-dimensional)…

We provide a theoretical framework to mold time-modulated lattices with frequency conversion and wave-steering capabilities. We initially focus on 1D lattices, whereby a sufficiently slow time-modulation of the stiffness is employed to…

Applied Physics · Physics 2023-02-15 Jonatha Santini , Emanuele Riva

Dynamics of wavepackets in fractional Schrodinger equation is still an open problem. The difficulty stems from the fact that the fractional Laplacian derivative is essentially a nonlocal operator. We investigate analytically and…

Optics · Physics 2015-10-29 Yiqi Zhang , Xing Liu , Milivoj R. Belić , Weiping Zhong , Yanpeng Zhang , Min Xiao

This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we establish the modal expansion for the time-dependent field…

Analysis of PDEs · Mathematics 2022-04-12 Bochao Chen , Yixian Gao , Hongyu Liu

We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal that depending upon its initial speed, an incoming solitary…

Chaotic Dynamics · Physics 2022-11-23 Mohammed A. Mohammed , Piyush Grover

Solitons in a strongly nonlocal nonlinear medium have attracted considerable attention in recent years due to their unique and distinctive characteristics from those observed in the local nonlinear medium. In this work, we investigate the…

Pattern Formation and Solitons · Physics 2026-03-18 K L Mamatha , S Stalin , K Nithyanandan

The dispersion relation of spin waves can vary monotonically about the center of the Brillouin zone, allowing zero-momentum wavepackets to flow unidirectionally, which is of interest for applications. Techniques such as propagating spin…

Materials Science · Physics 2024-12-02 G. Y. Thiancourt , S. M. Ngom , N. Bardou , T. Devolder

We present a detailed study of the spin-wave dynamics in single Pt/Co/W and double Pt/Co/W/Co/Pt ferromagnetic layer systems. The dispersion of spin waves was measured by wavevector-resolved Brillouin light scattering spectroscopy while the…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Krzysztof Szulc , Simon Mendisch , Michał Mruczkiewicz , Francesca Casoli , Markus Becherer , Gianluca Gubbiotti

Time has emerged as a new degree of freedom for metamaterials, promising new pathways in wave control. However, electromagnetism suffers from limitations in the modulation speed of material parameters. Here we argue that these limitations…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 E. Galiffi , P. A. Huidobro , J. B. Pendry

We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schroedinger equations. We derive a nonlinear dispersion relation.…

Chaotic Dynamics · Physics 2007-05-23 P. K. Shukla , I. Kourakis , B. Eliasson , M. Marklund , L. Stenflo

We present an overview of recent advances in the understanding of optical beams in nonlinear media with a spatially nonlocal nonlinear response. We discuss the impact of nonlocality on the modulational instability of plane waves, the…

Pattern Formation and Solitons · Physics 2009-11-10 W. Krolikowski , O. Bang , N. I. Nikolov , D. Neshev , J. Wyller , J. J. Rasmussen , D. Edmundson

Starting from the wave equation for a medium with material properties that vary periodically, we study a system of recurrence relations that describe propagation of wave packets that oscillate on the microscale (i.e. on lengths of the order…

Mathematical Physics · Physics 2021-01-26 Kirill Cherednichenko

We demonstrate symmetric wave propagations in asymmetric nonlinear quantum systems. By solving the nonlinear Sch\"ordinger equation, we first analytically prove the existence of symmetric transmission in asymmetric systems with a single…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Gaomin Wu , Yang Long , Jie Ren

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

We introduce and develop a hybrid structure combining graphene and Weyl semimetal, capable of achieving dynamically adjustable dual-band nonreciprocal radiation. The results reveal that the nonreciprocal radiation can be attributed to the…

Optics · Physics 2025-06-17 Ye Ming Qing , Jiao Liu , Zhaoyan Yang , Yue Gou , Liang Wei Wu , Jun Wu
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