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Boundary integral equation is derived for the problem of scattering of electromagnetic waves by 3D homogeneous body of arbitrary shape.

Mathematical Physics · Physics 2009-09-04 A. G. Ramm

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving…

Mathematical Physics · Physics 2011-11-01 Stephen P. Shipman , Hairui Tu

In the present paper the linearized problem of half-space plasma oscillations in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the plasma…

Mathematical Physics · Physics 2011-03-15 N. V. Gritsienko , A. V. Latyshev , A. A. Yushkanov

We present a vectorial analysis of the behavior of the electromagnetic field in the presence of boundaries with parabolic geometry. The relevance of the use of symmetries to find explicit closed expressions for the electromagnetic fields is…

Optics · Physics 2018-10-10 R. Gutiérrez-Jáuregui , R. Jáuregui

Gravitational wave `echoes' during black-hole merging events have been advocated as possible signals of modifications to gravity in the strong-field (but semiclassical) regime. In these proposals the observable effect comes entirely from…

General Relativity and Quantum Cosmology · Physics 2020-06-02 C. P. Burgess , Ryan Plestid , Markus Rummel

Transmission eigenchannels and associated eigenvalues, that give a full account of wave propagation in random media, have recently emerged as a major theme in theoretical and applied optics. Here we demonstrate, both analytically and…

Optics · Physics 2015-09-30 Liyi Zhao , Chushun Tian , Yury P. Bliokh , Valentin Freilikher

A new analytical approach to description of electromagnetic waves in nonmagnetic anisotropic media is presented. Amplitudes of their reflection and refraction at interfaces and also reflection and transmission of plane parallel plates are…

General Physics · Physics 2015-03-17 Filipp V. Ignatovich , Vladimir K. Ignatovich

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

Further development of the method of quantum hydrodynamics in application for Bose-Einstein condensates (BECs) is presented. To consider evolution of polarization direction along with particles movement we have developed corresponding set…

Quantum Gases · Physics 2014-11-04 P. A. Andreev , L. S. Kuzmenkov

We provide a general theoretical framework to describe the electromagnetic properties of viscous charged fluids, consisting for example of electrons in certain solids or plasmas. We confirm that finite viscosity leads to multiple modes of…

Strongly Correlated Electrons · Physics 2014-08-04 Davide Forcella , Jan Zaanen , Davide Valentinis , Dirk van der Marel

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

Condensed Matter · Physics 2009-10-28 Ding Chuan Chen , Anupam Garg

Planar, disordered assemblies of small particles incorporated in layered media -- sometimes called ``disordered metasurfaces'' in the recent literature -- are becoming widespread in optics and photonics. Their ability to scatter light with…

Optics · Physics 2023-08-08 Kevin Vynck , Armel Pitelet , Louis Bellando , Philippe Lalanne

Effective-medium theories for electromagnetic constitutive parameters of particulate composite materials are theories of averages. Standard deviations are absent because of the lack of rigorous theories. But ensemble averages and standard…

Optics · Physics 2015-06-02 Craig F. Bohren , Xuerong Xiao , Akhlesh Lakhtakia

We revisit the electromagnetic problem of wave incidence upon a uniform, dissipative dielectric slab of finite thickness. While this problem is easily solved via interface field continuity, we treat it under the viewpoint of radiative…

Classical Physics · Physics 2018-07-17 J. A. Grzesik

We study the properties of one-dimensional topological superconductors under the influence of generic boundary conditions mimicking the coupling with external environments. We identify a general four-parameters classification of the…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 A. Maiellaro , F. Romeo , F. Illuminati

We have studied the interplay of Andreev reflection and cyclotron motion of quasiparticles at a superconductor-normal-metal interface with a strong magnetic field applied parallel to the interface. Bound states are formed due to the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Hoppe , U. Zuelicke , Gerd Schoen

The aim of this work is to study the effect of imposing different types of boundary conditions in the Exner model describing shallow water equations with sedimentation, when a train of waves is imposed at one of the boundaries. The…

Numerical Analysis · Mathematics 2023-03-08 E. Macca , G. Russo

We studied electromagnetic wave propagation in a system that is periodic in both space and time, namely a discrete 2D transmission line (TL) with capacitors modulated in tandem externally. Kirchhoff's laws lead to an eigenvalue equation…

Applied Physics · Physics 2021-05-18 José de Jesús Salazar-Arrieta , Peter Halevi

Bright transient objects in different wave bands have been discovered in recent years. To explain these short (from ms to s), and very powerful events different models, galactic and extragalactic, have been considered. One of popular model…

Plasma Physics · Physics 2024-10-30 G. S. Bisnovatyi-Kogan , I. A. Kondratyev , S. G. Moiseenko

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov