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We investigate the analytic continuation of wave equations into the complex position plane. For the particular case of electromagnetic waves we provide a physical meaning for such an analytic continuation in terms of a family of closely…

Classical Physics · Physics 2016-05-04 S. A. R. Horsley , C. G. King , T. G. Philbin

The model problem of scattering of a sound wave by an infinite plane structure formed by a semi-infinite acoustically hard screen and a semi-infinite sandwich panel perforated from one side and covered by a membrane from the other is…

Mathematical Physics · Physics 2023-04-11 Y. A. Antipov

In this paper we consider the direct scattering problem of obliquely incident time-harmonic electromagnetic plane waves by an infinitely long dielectric cylinder. We assume that the cylinder and the outer medium are homogeneous and…

Analysis of PDEs · Mathematics 2016-06-08 Drossos Gintides , Leonidas Mindrinos

An integral equation is formulated to describe electromagnetic wave transmission through a sub-wavelength nano-hole in a thin plasmonic sheet in terms of the dyadic Green's function for the associated Helmholtz problem. Taking the…

Plasma Physics · Physics 2023-07-19 Norman J. M. Horing , Desire Miessein , Godfrey Gumbs

From a three-dimensional boundary value problem for the time harmonic classical Maxwell equations, we derive the dispersion relation for a surface wave, the edge plasmon-polariton (EP), that is localized near and propagates along the…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Dionisios Margetis

This paper is concerned with the diffraction of an electromagnetic wave by a perfectly conducting half-plane in a homogeneous bi-isotropic medium (asymptotically). Similar analysis in a source-free field is done in Asghar,S. and Lakhtakia,…

Mathematical Physics · Physics 2007-05-23 Wasiq Hussain

De-diffraction (DD), a new procedure to totally cancel diffraction effects from wave-fields is presented, whereby the full field from an aperture is utilized and a truncated geometrical field is obtained, allowing infinitely sharp focusing…

General Physics · Physics 2007-05-23 V. F. Tamari

In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained…

Applied Physics · Physics 2022-01-31 Danilo Beli , Matheus Inguaggiato Nora Rosa , Carlos De Marqui , Massimo Ruzzene

We study the absorption of monochromatic electromagnetic plane waves impinging upon a Kerr black hole, in the general case that the direction of incidence is not aligned with the black hole spin axis. We present numerical results that are…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Luiz C. S. Leite , Sam Dolan , Luís C. B. Crispino

Describing the phenomenon of total internal reflection in terms of a reflection coefficient of unit magnitude, we found that, not only can propagating plane waves be total internally reflected at the planar interface of two dissimilar,…

Optics · Physics 2009-11-13 Akhlesh Lakhtakia , Tom G. Mackay

Using the thin-layer approach, we derive the effective equation for the electromagnetic wave propagating along a space curve. We find intrinsic spin-orbit, extrinsic spin-orbit and extrinsic orbital angular momentum and intrinsic orbital…

Optics · Physics 2018-03-28 Meng-Yun Lai , Yong-Long Wang , Guo-Hua Liang , Fan Wang , Hong-Shi Zong

We discuss the propagation of electromagnetic waves on a rectangular lattice of polarizable point dipoles. For wavelengths long compared to the lattice spacing, we obtain the dispersion relation in terms of the lattice spacing and the…

Astrophysics · Physics 2007-05-23 D. Gutkowicz-Krusin , B. T. Draine

We propose a method derived from the simple plane wave expansion that can easily solve the interface problem between vacuum and a semi-infinite photonic crystal. The method is designed to find the complete set of all the eigenfunctions,…

Computational Physics · Physics 2013-05-29 Young-Chung Hsue , Tzong-Jer Yang

Electromagnetic wave is reflected and refracted at interfaces, satisfying Fresnel-Snell law which is required by conservations of energy and momentum. If the incident angle is lower than the critical angle, we can use this Fresnel-Snell…

Optics · Physics 2019-05-30 Daigo Oue

We derive a new integral equation that allows the calculation of the scattering or annihilation amplitude of two particles subjected to two potentials when the corresponding amplitude for one potential only is known. We assume that…

High Energy Physics - Phenomenology · Physics 2010-07-20 Luca Visinelli , Paolo Gondolo

In this paper, theoretical and numerical studies of perfect/nearly-perfect conversion of a plane wave into a surface wave are presented. The problem of determining the electromagnetic properties of an inhomogeneous lossless boundary which…

Absolute negative refraction regions for both polarizations of electromagnetic wave in two-dimensional photonic crystal have been found through both the analysis and the exact numerical simulation. Especially, absolute all-angle negative…

Materials Science · Physics 2009-11-10 Xiangdong Zhang

We study the propagation of electromagnetic (EM) waves in the solar system and develop a Mie theory that accounts for the refractive properties of the free electron plasma in the extended solar corona. We use a generic model for the…

Optics · Physics 2019-02-25 Slava G. Turyshev , Viktor T. Toth

Radiative emission from an open-ended unflanged planar dielectric waveguide is studied for the case of TM polarization on the basis of an iterative scheme. The first step of the scheme leads to approximate values for the reflection…

Optics · Physics 2013-09-24 B. U. Felderhof

This paper presents an extension of the recently introduced planewave density interpolation (PWDI) method to the electric field integral equation (EFIE) formulation of problems of scattering and radiation by perfect electric conducting…

Computational Physics · Physics 2019-10-07 Carlos Pérez-Arancibia , Catalin Turc , Luiz Faria , Constantine Sideris