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In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems…

Analysis of PDEs · Mathematics 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang

Improper Lorentz Transformations can be retained as exact symmetries of Nature if the particle content and gauge group of the Standard Model are doubled. The resulting ``Exact Parity Model (EPM)'' sees each ordinary particle paired with a…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. R. Volkas

Consider the electromagnetic scattering of a time-harmonic plane wave by an open cavity which is embedded in a perfectly electrically conducting infinite ground plane. This paper is concerned with the numerical solutions of the transverse…

Numerical Analysis · Mathematics 2021-04-07 Yanli Chen , Peijun Li , Xiaokai Yuan

We obtain exact analytic expressions for (i) the electromagnetic energy radial density within and outside a multilayered sphere and (ii) the total electromagnetic energy stored within its core and each of its shells. Explicit expressions…

Optics · Physics 2019-09-20 Ilia L. Rasskazov , Alexander Moroz , P. Scott Carney

The absorption of electromagnetic radiation by a planar structure, consisting of a three-layer dielectric-metal-dielectric coating on a metal back-reflector is analysed. The conditions for total absorption are derived. Our analysis shows…

Optics · Physics 2018-08-15 Viacheslav Medvedev , Vladimir Gubarev , Chris Lee

It is shown that perfect absorption and giant amplification can be realized when a wave impinges on a special metamaterial layer with zero real parts of the permittivity and permeability. The imaginary parts of the permittivity and…

Optics · Physics 2011-05-26 Y. Jin , S. S. Xiao , N. A. Mortensen , S. L. He

Numerical simulation of wave propagation in an infinite medium is made possible by surrounding a finite region by a perfectly matched layer (PML). Using this approach a generalized three-dimensional (3D) formulation is proposed for…

Numerical Analysis · Mathematics 2016-12-21 Hisham Assi , Richard S. C. Cobbold

The main task in this paper is to prove that the perfectly matched layers (PML) method converges exponentially with respect to the PML parameter, for scattering problems with periodic surfaces. In [5], a linear convergence is proved for the…

Numerical Analysis · Mathematics 2021-09-02 Ruming Zhang

This paper presents a stable finite element approximation for the acoustic wave equation on second-order form, with perfectly matched layers (PML) at the boundaries. Energy estimates are derived for varying PML damping for both the discrete…

Numerical Analysis · Mathematics 2022-06-20 Gustav Ludvigsson , Kenneth Duru , Gunilla Kreiss

Here we introduce the concept of "optimal particles" for strong interactions with electromagnetic fields. We assume that a particle occupies a given electrically small volume in space and study the required optimal relations between the…

Classical Physics · Physics 2013-06-25 Younes Ra'di , Sergei A. Tretyakov

We address the fundamental question of how to optimally probe a scene with electromagnetic (EM) radiation to yield a maximum amount of information relevant to a particular task. Machine learning (ML) techniques have emerged as powerful…

Deep metric learning has been widely applied in many computer vision tasks, and recently, it is more attractive in \emph{zero-shot image retrieval and clustering}(ZSRC) where a good embedding is requested such that the unseen classes can be…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Binghui Chen , Weihong Deng

A coherent perfect absorber is capable of completely absorbing input waves. However, the coherent perfect absorption severely depends on the superposition of the input waves, and the perfect absorption is sensitive to the disorder of the…

Optics · Physics 2024-04-08 H. S. Xu , L. Jin

The perfect Planck spectrum of the observed cosmic microwave background radiation indicates that our universe must be in thermal equilibrium. The dark sector of the universe should also be in the same equilibrium state with dark matter and…

General Physics · Physics 2016-12-14 Ti-Pei Li , Mei Wu

We suggest a unified spectrally matched optimal grid approach for finite-difference and finite-element approximation of the PML. The new approach allows to combine optimal discrete absorption for both evanescent and propagative waves.

Numerical Analysis · Mathematics 2012-10-31 Vladimir Druskin , Murthy Guddati , Thomas Hagstrom

The electromagnetic characteristics of plane-transformed invisibility cloaks are quantitatively studied in this paper. We take elliptical cylindrical cloak as the example, and use an elliptical cylindrical wave expansion method to obtain…

Optics · Physics 2015-05-13 Yu Luo , Jingjing Zhang , Hongsheng Chen , Lixin Ran , Bae-Ian Wu , Jin Au Kong

Using our recently developed equivalent circuit model of radiative heat transfer we analyze the far-field thermal emission from bodies of constrained dimensions. We prove that the power radiated by a hypothetical metamaterial emitter which…

Optics · Physics 2014-01-17 Stanislav I. Maslovski , Constantin R. Simovski

It is known that the perfect absorption of two identical waves incident on a complex potential from left and right can occur at a fixed real energy and that the time-reversed setting of this system would act as a laser at threshold at the…

Quantum Physics · Physics 2014-09-26 Zafar Ahmed

We investigate in a $2$D setting the scattering of time-harmonic electromagnetic waves by a plasmonic device, represented as a non dissipative bounded and penetrable obstacle with a negative permittivity. Using the $\textrm{T}$-coercivity…

Numerical Analysis · Mathematics 2016-08-31 Anne-Sophie Bonnet-Ben Dhia , Camille Carvalho , Lucas Chesnel , Patrick Ciarlet

A new simplified formula is derived for the absorption cross section of small dielectric ellipsoidal particles embedded in lossy media. The new expression leads directly to a closed form solution for the optimal conjugate match with respect…

Classical Physics · Physics 2017-09-13 Mariana Dalarsson , Sven Nordebo , Daniel Sjöberg , Richard Bayford