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This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

Numerical Analysis · Mathematics 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

We study the $2\rightarrow2$ $S$-matrix element of a generic, gapped and Lorentz invariant QFT in $d=1+1$ space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a.…

High Energy Physics - Theory · Physics 2018-09-26 N. Doroud , J. Elias Miró

This article initiates the study of space-time adaptive mesh refinements for time-dependent boundary element formulations of wave equations. Based on error indicators of residual type, we formulate an adaptive boundary element procedure for…

Numerical Analysis · Mathematics 2025-11-07 Alessandra Aimi , Giulia Di Credico , Heiko Gimperlein , Chiara Guardasoni

In this work, we study the inverse problem of analog gravity systems which admit rotation and energy-dependent boundary conditions. By extending two recent results, we provide a recipe that allows one to relate resonant transmission spectra…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Saulo Albuquerque , Sebastian H. Völkel , Kostas D. Kokkotas , Valdir B. Bezerra

We consider an open string stretched between a Y=0 brane and a Y_theta=0 brane. The latter brane is rotated with respect to the former by an angle theta, and is described by a non-diagonal boundary S-matrix. This system interpolates…

High Energy Physics - Theory · Physics 2016-03-23 Zoltan Bajnok , Rafael I. Nepomechie

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

In the linear regime, transport properties of ballistic two-terminal devices are generally considered to be independent of the direction of the current. This two-terminal reciprocity applies to both the electron transmission and reflection…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 P. Bredol

Modern nanophotonic and meta-optical devices utilize a tremendous number of structural degrees of freedom to enhance light--matter interactions. A fundamental question is how large such enhancements can be. We develop an analytical…

Optics · Physics 2020-11-13 Zeyu Kuang , Lang Zhang , Owen D. Miller

We report on observation of the time reversal symmetry breaking in unpolarized neutrons scattering experiment. Neutron transmittivity through the system consisting of two magnetic mirrors placed in an external magnetic field is measured.…

Mesoscale and Nanoscale Physics · Physics 2015-03-26 D. A. Tatarskiy , A. V. Petrenko , S. N. Vdovichev , O. G. Udalov , Yu. V. Nikitenko , A. A. Fraerman

In time-reversal invariant electronic systems the scattering matrix is anti-symmetric. This property enables an effect, designated here as "scattering anomaly", such that the electron transport does not suffer from back reflections,…

Optics · Physics 2017-03-03 Mario G. Silveirinha

Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of different matrix elements of impedance or scattering…

Chaotic Dynamics · Physics 2007-05-23 D. V. Savin , Y. V. Fyodorov , H. -J. Sommers

Breaking the reciprocity of wave propagation is a problem of fundamental interest, and a mucht-sought functionality in practical applications, both in photonics and phononics. Although it has been achieved using resonant linear scattering…

Applied Physics · Physics 2024-03-12 Tiemo Pedergnana , Abel Faure-Beaulieu , Romain Fleury , Nicolas Noiray

Generalized impedance boundary conditions are effective, approximate boundary conditions that describe scattering of waves in situations where the wave interaction with the material involves multiple scales. In particular, this includes…

Numerical Analysis · Mathematics 2020-05-29 Lehel Banjai , Christian Lubich , Joerg Nick

Time boundaries (TBs), temporal analogues of spatial interfaces, offer a powerful handle to engineer quantum systems. However, unlike the well-developed stationary scattering theory at spatial interfaces, a unified framework for quantum…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Haiping Hu

The ability to design the scattering properties of electromagnetic structures is of fundamental interest in optical science and engineering. While there has been great practical success applying local optimization methods to electromagnetic…

In the framework of a random matrix description of chaotic quantum scattering the positions of $S-$matrix poles are given by complex eigenvalues $Z_i$ of an effective non-Hermitian random-matrix Hamiltonian. We put forward a conjecture on…

Condensed Matter · Physics 2009-10-31 Yan V. Fyodorov , Mikhail Titov , H. -J. Sommers

Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We…

High Energy Physics - Theory · Physics 2020-12-02 Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira

It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector…

Analysis of PDEs · Mathematics 2021-01-22 Guang-Hui Hu , Manmohan Vashisth , Jiaqing Yang

Wavefield focusing is often achieved by Time-Reversal Mirrors, where wavefields emitted by a source located at the focal point are evaluated at a closed boundary and sent back, after Time-Reversal, into the medium from that boundary.…

Classical Physics · Physics 2025-09-12 Giovanni Angelo Meles , Joost van der Neut , Koen W. A. van Dongen , Kees Wapenaar

This paper concerns an inverse elastic scattering problem which is to determine a rigid obstacle from time domain scattered field data for a single incident plane wave. By using Helmholtz decomposition, we reduce the initial-boundary value…

Numerical Analysis · Mathematics 2022-03-14 Lu Zhao , Heping Dong , Fuming Ma