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We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a cylindrical obstacle and fields invariant along the axis of the…

Analysis of PDEs · Mathematics 2015-09-30 Martin Costabel , Eric Darrigrand , Hamdi Sakly

We analyze scattering in a system of two (distinguishable) particles moving on the half-line $\overline{\rz}_+$ under the influence of singular two-particle interactions. Most importantly, due to the spatial localization of the interactions…

Mathematical Physics · Physics 2018-11-14 Sebastian Egger , Joachim Kerner

We study the quantum scattering in two spatial dimensions (2D). Our computational scheme allows to quantitatively analyze the scattering parameters for the strong anisotropy of the interaction potential. High efficiency of the method is…

Quantum Physics · Physics 2015-06-19 Eugene A. Koval , Oksana A. Koval , Vladimir S. Melezhik

In this paper, we consider the problem of the scattering of in-plane waves at an interface between a homogeneous medium and a metamaterial. The relevant eigenmodes in the two regions are calculated by solving a recently described non…

Applied Physics · Physics 2020-03-20 Amir Ashkan Mokhtari , Yan Lu , Qiyuan Zhou , Alireza V. Amirkhizi , Ankit Srivastava

We investigate the scattering properties of an anti-parity-symmetric non-Hermitian system. The anti-parity-symmetric scattering center possesses imaginary nearest-neighbor hoppings and real onsite potentials, it has been experimentally…

Optics · Physics 2018-09-30 L. Jin

We develop the shape derivative analysis of solutions to the problem of scattering of time-harmonic electromagnetic waves by a bounded penetrable obstacle. Since boundary integral equations are a classical tool to solve electromagnetic…

Numerical Analysis · Mathematics 2010-02-22 Martin Costabel , Frédérique Le Louër

Using full-wave numerical simulations and analytical multipole expansions we investigated the properties of real-space polarization singularities that emerge in light scattering by subwavelength particles. We considered spherical and torus…

Optics · Physics 2021-02-18 Jie Peng , Wei Liu , Shubo Wang

This paper presents and discusses the conditions for zero electromagnetic scattering by electrically small particles. We consider the most general bi-anisotropic particles, characterized by four dyadic polarizabilities and study the case of…

Classical Physics · Physics 2015-06-11 Joni Vehmas , Younes Ra'di , Antti Karilainen , Sergei Tretyakov

We explore the electrodynamic coupling between a plane wave and an infinite two-dimensional periodic lattice of magneto-electric point scatterers, deriving a semi-analytical theory with consistent treatment of radiation damping,…

Optics · Physics 2013-12-16 Per Lunnemann , Ivana Sersic , A. Femius Koenderink

This paper is about perfectly electrically conducting structures designed to produce negligible scattered power when exposed to a time-harmonic plane electromagnetic wave. The structures feature cavities capable of concealing objects.…

Computational Physics · Physics 2025-10-01 Johan Helsing , Anders Karlsson

Two microring resonators, one with gain and one with loss, coupled to each other and to a bus waveguide, create an effective non-Hermitian potential for light propagating in the waveguide. Due to geometry, coupling for each microring…

Optics · Physics 2019-04-10 Vladimir V. Konotop , Barry C. Sanders , Dmitry A. Zezyulin

We characterize the long range dipolar scattering in 2-dimensions. We use the analytic zero energy wavefunction including the dipolar interaction; this solution yields universal dipolar scattering properties in the threshold regime. We also…

Atomic Physics · Physics 2015-05-13 Christopher Ticknor

A computational algorithm for the exact equations representing the scattering coefficients of an infinite grating of insulating dielectric circular cylinders associated with obliquely incident vertically polarized plane electromagnetic…

Mathematical Physics · Physics 2007-11-02 Omer Kavaklioglu , Baruch Schneider

Unusually large spontaneous and piezoelectric fields in the III-V nitrides have led to the making of an entirely new class of two-dimensional electron gas. Fluctuation from a perfectly periodic binary structure in highly polar semiconductor…

Materials Science · Physics 2009-10-31 Debdeep Jena , Arthur. C. Gossard , Umesh. K. Mishra

We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems through systems of curves and the jump problem. We obtain an explicit expression for the scattering matrix in terms of…

Differential Geometry · Mathematics 2021-12-03 Eric Schippers , Wolfgang Staubach

Non-Hermitian systems characterized by suitable spatial distributions of gain and loss can exhibit "spectral singularities" in the form of zero-width resonances associated to real-frequency poles in the scattering operator. Here, we study…

Optics · Physics 2020-04-22 Massimo Moccia , Giuseppe Castaldi , Andrea Alù , Vincenzo Galdi

Electromagnetic waves are described by not only polarization ellipses but also cyclically rotating vectors tracing out them. The corresponding fields are respectively directionless steady line fields and directional instantaneous vector…

Optics · Physics 2025-02-18 Chunchao Wen , Jianfa Zhang , Chaofan Zhang , Shiqiao Qin , Zhihong Zhu , Wei Liu

Recent studies of scattering amplitudes in planar N=4 SYM theory revealed the existence of a hidden dual superconformal symmetry. Together with the conventional superconformal symmetry it gives rise to powerful restrictions on the planar…

High Energy Physics - Theory · Physics 2014-11-20 G. P. Korchemsky , E. Sokatchev

The forward and backward scattering off linear systems with discrete rotational symmetries R_z (2{\pi} /n) with n $\ge$ 3 are shown to be restricted by symmetry reasons. Along the symmetry axis, forward scattering can only be helicity…

Optics · Physics 2013-11-28 Ivan Fernandez-Corbaton

A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the…

Quantum Physics · Physics 2015-06-26 F. Cannata , J. -P. Dedonder , A. Ventura