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We study the invisibility via anomalous localized resonance of a general source for electromagnetic waves in the setting of doubly complementary media. As a result, we show that cloaking is achieved if the power is blown up. We also reveal…

偏微分方程分析 · 数学 2019-06-17 Hoai-Minh Nguyen

The system of Maxwell equations with an initial condition in a vacuum is solved in a cylindrical coordinate system. It derives the cylindrical transverse electromagnetic wave mode in which the electric field and magnetic field are not in…

综合物理 · 物理学 2011-06-08 R. Chen , X. Li

For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate nearly vanishing scattered wave fields. If the inhomogeneous…

偏微分方程分析 · 数学 2017-03-08 Hongyu Liu , Yuliang Wang , Shuhui Zhong

The well known light filaments, are obtained in various media whose index of refraction increases before a saturation with the electric field; adding a small perturbation which increases the index with the magnetic field, and neglecting the…

斑图形成与孤子 · 物理学 2007-05-23 Jacques Moret-Bailly

We study theoretically a new possibility of unipolar pulses generation in Raman-active medium excited by a series of few-cycle optical pulses. We consider the case when the Raman-active particles are uniformly distributed along the circle,…

We study the wave equation on a bounded domain of $\mathbb R^m$ and on a compact Riemannian manifold $M$ with boundary. We assume that the coefficients of the wave equation are unknown but that we are given the hyperbolic…

偏微分方程分析 · 数学 2020-09-23 Anna Kirpichnikova , Jussi Korpela , Matti Lassas , Lauri Oksanen

We present polarized |S|=0.99$\pm$0.01, and unpolarized |S|=0.03$\pm$0.01 emission from a single emitter embedded in a single, cylindrically symmetric device design. We show that the polarization stems from a position offset of the single…

Coherent radiation of pulsars, magnetars, and fast radio bursts could, in theory, be interpreted as radiation from solitons and soliton-like waves. The solitons are meant to contain a large number of electric charges confined on long…

高能天体物理现象 · 物理学 2024-03-11 Jan Benáček , Patricio A. Muñoz , Jörg Büchner , Axel Jessner

Uniqueness results are established for time-independent finite-energy electromagnetic fields which solve the nonlinear Maxwell--Born--Infeld equations in boundary-free space under the condition that either the charge or current density…

数学物理 · 物理学 2015-05-28 Michael K. -H. Kiessling

We predict the existence of new nonlinear electromagnetic wave modes in pair plasmas. The plasma may be either non-magnetized or immersed in an external magnetic field. The existence of these modes depends on the interaction of an intense…

等离子体物理 · 物理学 2007-05-23 Mattias Marklund , Padma K. Shukla , Gert Brodin , Lennart Stenflo

We demonstrate how plane fronted waves with colliding wave fronts are the asymptotic limit of spherical electromagnetic and gravitational waves. In the case of the electromagnetic waves we utilize Bateman's representation of radiative…

广义相对论与量子宇宙学 · 物理学 2021-12-30 Peter A. Hogan , Dirk Puetzfeld

Rotating thin-shell-like sources for the stationary cylindrically symmetric vacuum solutions (Lewis) are constructed and studied. It is found, by imposing the non existence of timelike curves in the exterior of the shell, and that the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 M. F. A. da Silva , L. Herrera , N. O. Santos , A. Z. Wang

Previously we conjectured that extremely high Electromagnetic (EM) fields in a vacuum generate a gravitational field that causes Maxwell's equations to no longer be linear. This results in a "4-force" in the field configuration space, also…

综合物理 · 物理学 2023-12-12 Pierre Marx

The dispersion characteristics of an circularly polarized electromagnetic wave of arbitrary amplitude, propagating in a highly (thermally and kinematically) relativistic plasma, are shown to approach those of a linear wave in an…

等离子体物理 · 物理学 2018-07-17 Swadesh Mahajan , Manasvi Lingam

We bound the number of electromagnetic signals which may be observed over a frequency range $2W$ for a time $T$ within a region of space enclosed by a radius $R$. Our result implies that broadband fields in space cannot be arbitrarily…

信息论 · 计算机科学 2007-07-13 Leif Hanlen , Thushara Abhayapala

Solitary wave and soliton solutions of nonlinear equations are well known for physicists. A soliton is a solitary wave with some outstanding features which make it reasonable to be studied seriously in nonlinear systems. In fact most of the…

斑图形成与孤子 · 物理学 2010-04-28 Azizollah Azizi , Mohammad Mohammadi

Using a framework based on the 1+3 formalism, we show that a source represented by a geodesic, dissipative, rotational dust, endowed with axial and reflection symmetry, violates regularity conditions at the center of the fluid distribution,…

广义相对论与量子宇宙学 · 物理学 2015-06-09 L. Herrera , A. Di Prisco , J. Ospino

We develop a photonic description of short, one-dimensional electromagnetic pulses, specifically in the language of electrical transmission lines. Current practice in quantum technology, using arbitrary waveform generators, can readily…

量子物理 · 物理学 2024-07-11 Evangelos Varvelis , Debjyoti Biswas , David P. DiVincenzo

In this paper we study the linear wave equation on an $n$-dimensional spatial domain. We show that there is a boundary triplet associated to the undamped wave equation. This enables us to characterise all boundary conditions for which the…

最优化与控制 · 数学 2015-11-09 Mikael Kurula , Hans Zwart

We propose a new model of nonlinear electrodynamics with three parameters. Born-Infeld electrodynamics and exponential electrodynamics are particular cases of this model. The phenomenon of vacuum birefringence is studied. We show that there…

综合物理 · 物理学 2017-11-13 S. I. Kruglov