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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

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

This report is dedicated to the construction and analysis of so-called Generalized Impedance Boundary Conditions (GIBCs) used in electromagnetic scattering problems from imperfect conductors as higher order approximations of a perfect…

Analysis of PDEs · Mathematics 2008-01-07 Houssem Haddar , Patrick Joly , Hoai Minh Nguyen

While doing electromagnetic analysis using FEM (Finite element method), if we can implement the underlying symmetric nature of the problem, there will be significant reduction in the computational cost. Symmetric nature of the problem can…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Durgarao Kamireddy , Sreekanth Karanam , Arup Nandy

Extraordinary dispersion features of a circular waveguide filled by a longitudinally magnetized composite gyroelectromagnetic medium are studied. The composite medium is considered to be constructed by juxtaposition together of magnetic and…

Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order $O(a)$…

Mathematical Physics · Physics 2011-01-25 A. G. Ramm

We consider a semi-infinite spatially dispersive dielectric with unequal transverse and longitudinal susceptibilities. The effect of the boundary is characterized by arbitrary reflection coefficients for polarization waves in the material…

Optics · Physics 2017-01-09 R. J. Churchill , T. G. Philbin

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

In this paper, we investigate the problem of electromagnetic (EM) wave scattering by one and many small perfectly conducting bodies and present a numerical method for solving it. For the case of one body, the problem is solved for a body of…

Numerical Analysis · Mathematics 2017-10-19 Nhan Tran

A novel class of boundary conditions is introduced as a generalization of the previously defined class of soft-and-hard/DB (SHDB) boundary conditions. It is shown that the conditions for the generalized soft-and-hard/DB (GSHDB) boundary…

Classical Physics · Physics 2017-04-05 Ismo V. Lindell , Ari Sihvola

It has been known through some examples that parameters of an electromagnetic medium can be so defined that there is no dispersion equation (Fresnel equation) to restrict the choice of the wave vector of a plane wave in such a medium, i.e.,…

Mathematical Physics · Physics 2013-05-02 Ismo V. Lindell , Alberto Favaro

When a convex perfectly conducting inclusion is closely spaced to the boundary of the matrix domain, a bigger convex domain containing the inclusion, the electric field can be arbitrary large. We establish both the pointwise upper bound and…

Analysis of PDEs · Mathematics 2017-05-15 Haigang Li , Longjuan Xu

The derivation of the helicon dispersion relation for a uniform plasma with stationary ions subject to a constant background magnetic field is reexamined in terms of the potential formulation of electrodynamics. Under the same conditions…

Plasma Physics · Physics 2013-08-21 Robert W. Johnson

Changes in the magnetic moment of an electron near a dielectric or conducting surface due to boundary-dependent radiative corrections are investigated. The electromagnetic field is quantized by normal mode expansion for a non-dispersive…

Quantum Physics · Physics 2013-07-12 Robert Bennett , Claudia Eberlein

An exact solution for electromagnetic wave diffraction at the junction of two-dimensional electron systems (2DES) is obtained and analyzed for electric field polarized along the edge. A special emphasis is paid to the metal-contacted and…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Dmitry Svintsov , Alexander Shabanov

A theory of electromagnetic (EM) wave scattering by many small particles of an arbitrary shape is developed. The particles are perfectly conducting or impedance. For a small impedance particle of an arbitrary shape an explicit analytical…

Mathematical Physics · Physics 2016-01-12 A. G. Ramm

We consider time-harmonic electromagnetic wave equations in composites of a dispersive material surrounded by a classical material. In certain frequency ranges this leads to sign-changing permittivity and/or permeability. Previously meshing…

Numerical Analysis · Mathematics 2021-04-20 Martin Halla

In this paper, it is proved that the continuity of the tangential components of the average electric and magnetic fields is insufficient to describe the reflection of plane waves by a set of thin parallel wires embedded in a dielectric host…

Materials Science · Physics 2009-11-11 Mario G. Silveirinha

We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an infinite space. By applying a boundary-field equation method,…

Analysis of PDEs · Mathematics 2024-12-19 George C. Hsiao , Tonatiuh Sánchez-Vizuet , Wolfgang L. Wendland

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