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The propagation of the transverse electric (TE) and transverse magnetic (TM) waves in an effectively two-dimensional (2D) isotropic medium is described by Bergmann's equation of acoustics. We develop a dynamical formulation of the…

Mathematical Physics · Physics 2026-04-06 Farhang Loran , Ali Mostafazadeh

The control of wave scattering in complex non-Hermitian settings is an exciting subject -- often challenging the creativity of researchers and stimulating the imagination of the public. Successful outcomes include invisibility cloaks,…

Mesoscale and Nanoscale Physics · Physics 2025-04-28 Jared Erb , Nadav Shaibe , Robert Calvo , Daniel Lathrop , Thomas Antonsen , Tsampikos Kottos , Steven M. Anlage

We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at temporal interfaces scatter and create a transmitted and reflected…

Analysis of PDEs · Mathematics 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider two regimes of wave propagation modeled by the paraxial wave…

Disordered Systems and Neural Networks · Physics 2007-05-23 Guillaume Bal , Lenya Ryzhik

Scattering theory traditionally deals with the asymptotic behaviour of a system far removed from the actual scattering event. Here we present an experimental study of the one-dimensional scattering of a non-interacting condensate of 87-Rb…

Time-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial refractive index induces the generation of a…

Classical Physics · Physics 2025-02-06 Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

We propose a general method to arbitrarily manipulate an electromagnetic wave propagating in a two-dimensional medium, without introducing any scattering. This leads to a whole class of isotropic spatially varying permittivity and…

Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material…

Materials Science · Physics 2015-12-21 Mihai Caleap , Bruce W Drinkwater

Manipulation of radiation is required for enabling a span of electromagnetic applications. Since properties of antennas and scatterers are very sensitive to a surrounding environment, macroscopic artificially created materials are good…

In weakly nonlinear dispersive wave systems, long-time dynamics are typically governed by time resonances, where wave phases evolve coherently due to exact frequency matching. Recent advances in spatio-temporal spectrum measurements,…

Pattern Formation and Solitons · Physics 2025-12-09 Michal Shavit , Fabio Pusateri , Zhou Zhang , Yulin Pan , Davide Maestrini , Miguel Onorato , Jalal Shatah

We show that a unified and maximally generalized approach to spatial transformation design is possible, one that encompasses all second order waves, rays, and diffusion processes in anisotropic media. Until the final step, it is unnecessary…

Classical Physics · Physics 2018-05-04 Paul Kinsler , Martin W. McCall

Wave reflection and refraction at a time interface follow different conservation laws compared to conventional scattering at a spatial interface. This study presents the experimental demonstration of refraction and reflection of flexural…

Ray-tracing (RT) has become central to site-specific electromagnetic propagation modeling in dynamic complex environments. Yet its computational burden grows sharply as high-fidelity digital twins of these environments scale to millions of…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Giacomo Melloni , Enrico M. Vitucci , Vittorio Degli Esposti , Samuel Berweger , Jack Chuang , Camillo Gentile , Nada Golmie

We investigate temporal scattering in lossless Drude media and reveal an overlooked role of the zero-frequency flat band associated with static polarization charge. This flat band forms an exceptional line spanning all wavenumbers and can…

Optics · Physics 2025-11-03 Neng Wang , Shuyong Chen , Guo Ping Wang

In the framework of multiple-scattering theory, we show that the dispersion relations of certain electromagnetic (EM) and elastic metamaterials can be obtained analytically in the long-wavelength limit. Specific examples are given to the…

Materials Science · Physics 2011-09-06 Ying Wu , Zhao-Qing Zhang

We introduce a homogenization approach to characterize the dynamical response of a generic dispersive spacetime crystal in the long-wavelength limit. The theory is applied to dispersive spacetime platforms with a travelling-wave modulation.…

Optics · Physics 2023-07-26 João C. Serra , Mário G. Silveirinha

The propagation of waves through transmission eigenchannels in complex media is emerging as a new frontier of condensed matter and wave physics. A crucial step towards constructing a complete theory of eigenchannels is to demonstrate their…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Ping Fang , Chushun Tian , Liyi Zhao , Yury P. Bliokh , Valentin Freilikher , Franco Nori

A theoretical framework is developed for scattering of scalar radiation from stationary, three-dimensional media with correlation functions of scattering potentials obeying $\mathcal{PT}$-symmetry. It is illustrated that unlike in…

Mathematical Physics · Physics 2021-01-13 Paulo Brandão , Olga Korotkova

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma