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We study wave scattering by a finite transversal strip in a discrete square-lattice waveguide with Dirichlet boundary conditions imposed on the strip and the waveguide walls. The setting is motivated as a discrete analogue of the classical…

Mathematical Physics · Physics 2026-02-12 Elena Medvedeva , Raphael Assier , Anastasia Kisil

The paper is concerned with well-posedness of TE and TM polarizations of time-harmonic electromagnetic scattering by perfectly conducting periodic surfaces and periodically arrayed obstacles with local perturbations. The classical Rayleigh…

Analysis of PDEs · Mathematics 2024-02-20 Guanghui Hu , Andreas Kirsch

We report that metamaterial-inspired one-dimensional gratings (or metagratings) can be used to control nonpropagating diffraction orders as well as propagating ones. By accurate engineering of the near field, it becomes possible to satisfy…

Applied Physics · Physics 2019-03-06 Vladislav Popov , Fabrice Boust , Shah Nawaz Burokur

Metagratings (MGs) have emerged as a promising platform for manipulating the anomalous propagation of electromagnetic waves. However, traditional methods for designing functional MG-based devices face significant challenges, including…

We study propagation of transverse-magnetic (TM) electromagnetic waves in the bulk and at the surface of magnetized epsilon-near-zero (ENZ) medium in a Voigt configuration. We reveal that in a certain range of material parameters novel…

Optics · Physics 2013-09-12 Arthur Davoyan , Nader Engheta

A waveguide G lies in the (n+1)-dimensional Euclidean space for positive integer n, and outside a large ball coincides with the union of finitely many non-overlapping semi-cylinders ("cylindrical ends"). The waveguide is described by the…

Numerical Analysis · Mathematics 2011-06-30 B. A. Plamenevskii , O. V. Sarafanov

We establish sharp regional observability results for solutions of the wave equation in a bounded domain of $\Omega \subset \mathbb{R}^n$, in case where the geometric control condition is not satisfied. Assuming that the waves are observed…

Analysis of PDEs · Mathematics 2025-10-20 Belhassen Dehman , Sylvain Ervedoza an Enrique Zuazua

Consider an ambient medium and a heterogeneous entity composed of a bidimensional material surrounded by a thin membrane. The electromagnetic constants of these materials are different. By analogy with biological cells, we call this entity…

Analysis of PDEs · Mathematics 2007-05-23 Clair Poignard

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived.…

Analysis of PDEs · Mathematics 2013-04-10 A. G. Ramm

Energy transmission over long distances by waves is a key mechanism for many natural processes. This possibility arises when an inhomogeneous medium is arranged in such a manner that it enables a certain type of wave to propagate with…

Fluid Dynamics · Physics 2026-05-05 Semyon Churilov

We introduce continuous supersymmetric transformations to manipulate the modal content in systems of optical waveguides, providing a systematic method to design efficient and robust integrated devices such as tapered waveguides,…

Optics · Physics 2019-01-31 G. Queraltó , V. Ahufinger , J. Mompart

Guided waves modes in a slab waveguide formed from the isotropic dielectric layer embedded by hyperbolic materials are investigated. Optical axis is normal to the slab plane. The dispersion relations for TE and TM waves are found. The…

Optics · Physics 2015-07-28 Ekaterina I. Lyashko , Andrey I. Maimistov

A method for solving the half-space Sommerfeld problem is proposed, which allows us to obtain exact solutions in the form of Sommerfeld integrals, as well as their short-wave asymptotics. The first carried out by reducing the Sommerfeld…

Classical Physics · Physics 2020-05-15 Seil Sautbekov

THz radiation is more and more commonplace in research laboratories as well as in everyday life, with applications ranging from body scanners at airport security to short range wireless communications. In the optical domain, waveguides and…

Optics · Physics 2018-05-07 Alessio Stefani , Simon C. Fleming , Boris T. Kuhlmey

We investigate the electromagnetic field generated by a point charge moving along a helical trajectory inside a circular waveguide with conducting walls filled by homogeneous dielectric. The parts corresponding to the radiation field are…

Classical Physics · Physics 2010-02-15 A. S. Kotanjyan , A. A. Saharian

We study theoretically and experimentally how to reduce the backscattering of water waves in a channel with multiple turns. We show that it is not only possible to cancel backscattering but also to achieve a remarkable transmission in such…

Classical Physics · Physics 2023-11-22 Samantha Kucher , Adrian Koźluk , Philippe Petitjeans , Agnès Maurel , Vincent Pagneux

The highly efficient, easy-to-implement, long-ranged and non-destructive way to realize active pumping has been still a great challenge. Here, using molecular dynamics simulations, terahertz electromagnetic wave (TEW) is firstly employed to…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Qi-Lin Zhang , Rong-Yao Yang , Chun-Lei Wang , Jun Hu

We extend the $t-z$ mapping formalism of time-dependent paraxial optics by identifying configurations displaying a synthetic magnetic vector potential, leading to a non-trivial band topology in propagating geometries. We consider an…

Directional excitation of guidance modes is central to many applications ranging from light harvesting, optical information processing to quantum optical technology. Of paramount interest, especially, the active control of near-field…

A high energy density plasma embedded in a neutral gas is able to launch an outward-propagating nonlinear electrostatic ionization wave that traps energetic electrons. The trapping maintains a strong sheath electric field, enabling rapid…

Plasma Physics · Physics 2021-02-24 Haotian Mao , Kathleen Weichman , Zheng Gong , Todd Ditmire , Hernan Quevedo , Alexey Arefiev