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Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

The matrix Schr\"odinger equation is considered on the half line with the general selfadjoint boundary condition at the origin described by two boundary matrices satisfying certain appropriate conditions. It is assumed that the matrix…

Mathematical Physics · Physics 2020-05-22 Tuncay Aktosun , Ricardo Weder

Symmetry breaking of light states is of interest for the understanding of nonlinear optics, photonic circuits, telecom applications and optical pulse generation. Here we demonstrate 4-fold symmetry breaking of the resonances of ring…

Optics · Physics 2022-04-20 Lewis Hill , Pascal Del Haye , Gian-Luca Oppo

It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In this work, the inverse problem, i.e., the…

Optics · Physics 2017-06-14 Filippo Alpeggiani , Nikhil Parappurath , Ewold Verhagen , L. Kuipers

A model of the asymmetric coherent scattering process (caused by initial atomic wave-packet splitting in the momentum space) taking place at the large detuning and adiabatic course of interaction for an effective two-state system…

Quantum Physics · Physics 2015-04-28 M. V. Hakobyan , V. M. Red'kov , A. M. Ishkhanyan

We consider two semi-infinite magnetoelectric media with constant dielectric permittivity separated by a planar interface, whose electromagnetic response is described by non-dynamical axion electrodynamics and investigate the radiation of a…

Other Condensed Matter · Physics 2022-11-08 O. J. Franca , Luis F. Urrutia

In this work we address, first, the optical force on a magnetodielectric particle on a flat dielectric surface due to an evanescent Bessel beam and, second, the effects on the force of multiple scattering with the substrate. For the first…

Optics · Physics 2014-10-10 J. M. Auñon , M. Nieto-Vesperinas

The exact suppression of backscattering from rotationally symmetric objects requires dual symmetric materials where ${\epsilon_r} = {\mu_r}$. This prevents their design at many frequency bands, including the optical one, because magnetic…

Optics · Physics 2017-11-16 M. Ismail Abdelrahman , C. Rockstuhl , I. Fernandez-Corbaton

We consider a two-dimensional analogue of Helmholtz resonator with walls of finite thickness in the critical case when there exists an eigenfrequency equalling to the limit of poles generated by both the bounded component of the resonator…

Mathematical Physics · Physics 2007-05-23 Rustem R. Gadyl'shin

We present a detailed analytical and numerical analysis of the inelastic coherent backscattering spectrum of laser light incident on cold atoms. We identify frequency domains where the interference contribution can be positive \emph{as well…

Quantum Physics · Physics 2009-11-13 Vyacheslav Shatokhin , Thomas Wellens , Benoît Grémaud , Andreas Buchleitner

The classical symmetry of the source-free Maxwell equations under electric-magnetic duality rotations leads to a conserved Noether charge, corresponding to the circular polarization of light. We show that, in quantum field theory, the…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Adrián del Río

The effect of quasi-particle (QP) 'scattering' by the vortex lattice on the de-Haas van-Alphen oscillations in a pure type-II superconductor is investigated within mean field,asymptotic perturbation theory. Using a 2D electron gas model it…

Superconductivity · Physics 2009-10-30 V. N. Zhuravlev , T. Maniv , I. D. Vagner , P. Wyder

We present first steps toward understanding the ultracold scattering properties of polar molecules in strong electric field-seeking states. We have found that the elastic cross section displays a quasi-regular set of potential resonances as…

Atomic Physics · Physics 2009-11-11 Christopher Ticknor , John L. Bohn

The direct and inverse scattering problems on the full line are analyzed for a first-order system of ordinary linear differential equations associated with the derivative nonlinear Schr\"odinger equation and related equations. The system…

Mathematical Physics · Physics 2019-08-15 Tuncay Aktosun , Ramazan Ercan

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

We study coherent backscattering of a monochromatic laser by a dilute gas of cold two-level atoms in the weakly nonlinear regime. The nonlinear response of the atoms results in a modification of both the average field propagation (nonlinear…

Quantum Physics · Physics 2009-11-11 Thomas Wellens , Benoit Gremaud , Dominique Delande , Christian Miniatura

We investigate the scattering off three nonoverlapping disks equidistantly spaced along a line in the two-dimensional plane with the radii of the outer disks equal and the radius of the inner disk varied. This system is a two-dimensional…

chao-dyn · Physics 2008-02-03 Andreas Wirzba , Per. E Rosenqvist

The Raman scattering regarding the circularly-polarized incident and scattered lights is closely related to the circular activity of a given system. We investigate the symmetry of its activity, called the cross-circular and…

Materials Science · Physics 2025-09-04 Hikaru Watanabe , Rikuto Oiwa , Gakuto Kusuno , Takuya Satoh , Ryotaro Arita

We investigate the spectral properties of photonic crystals, lacking parity-time (PT) symmetry, using scattering matrix formalism. We show using the symmetry properties of matrices that a defective photonic crystal, doped with three-level…

Optics · Physics 2025-02-20 Nancy Ghangas , Shubhrangshu Dasgupta

The scattering phase, defined as $ \log \det S ( \lambda ) / 2\pi i $ where $ S ( \lambda ) $ is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely…

Spectral Theory · Mathematics 2022-10-19 Jeffrey Galkowski , Pierre Marchand , Jian Wang , Maciej Zworski
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