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Electromagnetic fields in bulk bianisotropic media can be represented using plane waves whose k-vectors can be found using the index of refraction operator method and belong to the Fresnel wave surfaces that fall into one of the 5…

Optics · Physics 2023-02-21 Maxim Durach

In differential-form representation, the Maxwell equations are represented by simple differential relations between the electromagnetic two-forms and source three-forms while the electromagnetic medium is defined through a constitutive…

Classical Physics · Physics 2007-05-23 Ismo V. Lindell , Ari Sihvola

By solving Maxwell's equations the exact dispersion equation for electromagnetic waves propagating in a layered coaxial ferrite line is obtained. In particular the analytical consideration is carried out for a simpler case of complete…

Accelerator Physics · Physics 2025-05-29 V. A. Balakirev , I. N. Onishchenko

Resonant scattering of electromagnetic (EM) waves by small particles is considered as one of the basic problem in metamaterial science. At present, special subwavelength resonators are considered as structural elements in chiral and…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 E. O. Kamenetskii

We express the electromagnetic field propagating in an arbitrary time-independent non-dispersive medium in terms of an operator that turns out to be pseudo-Hermitian for Hermitian dielectric and magnetic permeability tensors Epsilon and Mu.…

Optics · Physics 2009-11-13 Ali Mostafazadeh , Farhang Loran

Recently, Beloborodov suggested that there exists a resonance phenomenon between an extremely intense electromagnetic wave and internal magnetized particles. The particles exchange energy with the wave at frequent resonance events and then…

High Energy Astrophysical Phenomena · Physics 2024-05-09 Yu-Chen Huang , Shu-Qing Zhong , Zi-Gao Dai

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

In this paper, we introduce an alternative representation of the electromagnetic field scattered from a homogeneous sphere coated with a homogeneous layer of uniform thickness. Specifically, we expand the scattered field using a set of…

Optics · Physics 2017-08-02 Mariano Pascale , Giovanni Miano , Carlo Forestiere

We consider the scattering of a low-frequency gravitational wave by a massive compact body in vacuum. We apply partial-wave methods to compute amplitudes for the helicity-conserving and helicity-reversing contributions to the cross section,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

In this paper we review the results of the author on the theory of scalar and vector wave scattering by small bodies of an arbitrary shape with the emphasis on practical applicability of the formulas obtained and on the mathematical rigor…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

Manipulation of radiation is required for enabling a span of electromagnetic applications. Since properties of antennas and scatterers are very sensitive to a surrounding environment, macroscopic artificially created materials are good…

Electromagnetic wave scattering from planar dielectric films deposited on one-dimensional, randomly rough, perfectly conducting substrates is studied by numerical simulations for both p- and s-polarization. The reduced Rayleigh equation,…

Condensed Matter · Physics 2024-03-25 I. Simonsen , A. A. Maradudin

We investigate theoretically electromagnetic plane-wave scattering by self-complementary metasurfaces. By using Babinet's principle extended to metasurfaces with resistive elements, we show that the frequency-independent transmission and…

Optics · Physics 2013-11-27 Yosuke Nakata , Yoshiro Urade , Toshihiro Nakanishi , Masao Kitano

The ability to control electromagnetic fields on the subwavelength scale could open exciting new venues in many fields of science. Transformation optics provides one way to attain such control through the local variation of the permittivity…

Optics · Physics 2014-05-13 Bo Liu , Eric J. Heller

An electron beam traversing a structured plasmonic field is shown to undergo diffraction with characteristic angular patterns of both elastic and inelastic outgoing electron components. In particular, a plasmonic {\it grating} (e.g., a…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 F. Javier Garcia de Abajo , Brett Barwick , Fabrizio Carbone

The behavior of the electromagnetic field near a common edge of a resistive half-plane and a perfectly conducting wedge is investigated. The possible appearance besides power terms also of logarithmic functions in the field expansions at…

Classical Physics · Physics 2024-10-29 I. M. Braver , P. Sh. Fridberg , Kh. L. Garb , I. M. Yakover

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

We defend a natural division of the energy density, energy flux and momentum density of electromagnetic waves in linear media in electromagnetic and material parts. In this division, the electromagnetic part of these quantities have the…

Optics · Physics 2011-04-27 Pablo L. Saldanha

We analyze electromagnetic waves propagation in one-dimensional periodic media with single or periodic defects. The study is made both from the point of view of the modes and of the diffraction problem. We provide an explicit dispersion…

Mathematical Physics · Physics 2009-10-31 Didier Felbacq

A material comprised of an array of subwavelength coaxial waveguides decomposes incident electromagnetic waves into spatially discrete wave components, propagates these components without frequency cut-off, and reassembles them on the far…

Materials Science · Physics 2009-11-13 K. Kempa , X. Wang , Z. F. Ren , M. J. Naughton