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An inhomogeneous Kaluza-Klein compactification of a higher dimensional spacetime may give rise to an effective 4d spacetime with distinct domains having different sizes of the extra dimensions. The domains are separated by domain walls…

High Energy Physics - Theory · Physics 2008-11-26 Nelson De Leon , John Morris

In this paper, we calculate the transmission and reflection amplitudes of wave functions for different potentials such as the delta function, the rectangular barrier, the Eckart potential, and the Hulthen potential. We describe the…

Mathematical Physics · Physics 2014-07-03 Tritos Ngampitipan , Petarpa Boonserm

We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigroup theory. A passitivity assumption guarantees the…

Analysis of PDEs · Mathematics 2020-04-22 Serge Nicaise , Cristina Pignotti

It is known that the two eigen plane waves incident to the generalized soft-and-hard/DB (GSHDB) boundary are reflected as from the PEC or PMC boundary, i.e., with reflection coefficients $-1$ or $+1$, for any angle of incidence. The present…

Classical Physics · Physics 2021-08-12 Ismo V. Lindell , Ari Sihvola

Spatiotemporal dynamics of excitons in isolated semiconducting single-walled carbon nanotubes are studied using transient absorption microscopy. Differential reflection and transmission of an 810-nm probe pulse after excitation by a 750-nm…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 Brian A. Ruzicka , Rui Wang , Jessica Lohrman , Shenqiang Ren , Hui Zhao

We theoretically and numerically investigate resonant optical properties of composite structures consisting of several subwavelength resonant diffraction gratings separated by homogeneous layers. Using the scattering matrix formalism, we…

The most general linear and local set of boundary conditions, involving relations between the normal components of the D and B vectors and tangential components of the E and H vectors at each point of the boundary, are considered in this…

Classical Physics · Physics 2017-02-17 I. V. Lindell , A. Sihvola

Nonlocal (spatial-dispersion) effects in multilayered metamaterials composed of periodic stacks of alternating, deeply subwavelength dielectric layers are known to be negligibly weak. Counterintuitively, under certain critical conditions,…

Optics · Physics 2018-10-03 Giuseppe Castaldi , Andrea Alù , Vincenzo Galdi

The impact of surface reflection on the statistics of transmission eigenvalues is a largely unexplored subject of fundamental and practical importance in statistical optics. Here, we develop a first-principles theory and confirm numerically…

Disordered Systems and Neural Networks · Physics 2014-05-20 Xiaojun Cheng , Chushun Tian , Azriel Z. Genack

We report numerical experiments of optical wave propagation in composites of high refractive index dielectric rods at frequencies where their first electric and magnetic Mie resonances are excited. The arrays of these particles have been…

Optics · Physics 2015-06-03 F. J. Valdivia-Valero , M. Nieto-Vesperinas

Propagation losses in micro-ring resonator waveguides can be determined from the shape of individual resonances in their transmission spectrum. The losses are typically extracted by fitting these resonances to an idealized model that is…

Optics · Physics 2017-05-02 Orad Reshef , Michael G. Moebius , Eric Mazur

Extremely anisotropic metal-dielectric multilayer metamaterials are designed to have the effective permittivity tensor of a transverse component (parallel to the interfaces of the multilayer) with zero real part and a longitudinal component…

Optics · Physics 2015-06-23 Lei Sun , Xiaodong Yang , Wei Wang , Jie Gao

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the present article, the formulation is extended to handle reflective…

Numerical Analysis · Mathematics 2023-06-12 Olivier Pironneau , Pierre-Henri Tournier

The emission of electromagnetic waves from a source within or near a non-trivial medium (with or without boundaries, crystalline or amorphous, with inhomogeneities, absorption and so on) is sometimes studied using the reciprocity principle.…

Classical Physics · Physics 2016-09-08 Ariel Caticha

With analytical (generalized Mie scattering) and numerical (integral-equation-based) considerations we show the existence of strong resonances in the scattering response of small spheres with lossless impedance boundary. With increasing…

Classical Physics · Physics 2018-12-26 Ari Sihvola , Dimitrios C. Tzarouchis , Pasi Ylä-Oijala , Henrik Wallén , Beibei Kong

We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localisation, surface resonance, and stress concentration. In the case where the domain is radial and…

Analysis of PDEs · Mathematics 2022-12-01 Yan Jiang , Hongyu Liu , Jiachuan Zhang , Kai Zhang

Various aspects of axion electrodynamics in the presence of a homogeneous and isotropic dielectric medium are discussed. 1. We consider first the "antenna-like" property of a planar dielectric surface in axion electrodynamics, elaborating…

High Energy Physics - Theory · Physics 2023-02-21 Iver Brevik , Amedeo M. Favitta , Masud Chaichian

The approach to calculating the effective dielectric and magnetic response in bounded composite materials is developed. The method is essentially based on the renormalisation of the dielectric matrix parameters to account for the surface…

Materials Science · Physics 2009-11-07 D. P. Makhnovskiy , L. V. Panina , D. J. Mapps , A. K. Sarychev

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

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all…

Computational Physics · Physics 2020-02-18 Johan Helsing , Anders Karlsson