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We study the propagation of waves in a medium in which the wave velocity fluctuates randomly in time. We prove that at long times, the statistical distribution of the wave energy is log-normal, with the average energy growing exponentially.…

无序系统与神经网络 · 物理学 2021-09-01 R. Carminati , H. Chen , R. Pierrat , B. Shapiro

We explore the propagation and transformation of electromagnetic waves through spatially homogeneous yet smoothly time-dependent media within the framework of classical electrodynamics. By modelling the smooth transition, occurring during a…

In this letter, we investigate the statistical properties of electromagnetic signals after different times of duration within one-dimensional local-disordered time-varying cavities, where both spatial and temporal disorders are added. Our…

无序系统与神经网络 · 物理学 2024-08-01 Bo Zhou , Xingsong Feng , Xianmin Guo , Fei Gao , Hongsheng Chen , Zuojia Wang

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is…

无序系统与神经网络 · 物理学 2009-11-10 Ken Wang , Zhen Ye

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

偏微分方程分析 · 数学 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

We develop a theoretical model to investigate wave propagation in media with random time-varying properties, where temporal fluctuations lead to complex scattering dynamics. Focusing on the ensemble-averaged field, we derive an exact…

光学 · 物理学 2026-02-24 Romain Pierrat , Julia Rocha , Rémi Carminati

Fundamental concepts in the quasi-one-dimensional geometry of disordered wires and random waveguides in which ideas of scaling and the transmission matrix were first introduced are reviewed. We discuss the use of the transmission matrix to…

无序系统与神经网络 · 物理学 2023-07-19 Zhou Shi , Matthieu Davy , Azriel Z. Genack

Quantum-statistical effects occur during the propagation of electromagnetic (EM) waves inside the dielectric media or metamaterials, which include a large class of nanophotonic and plasmonic waveguides with dissipation and noise. Exploiting…

光学 · 物理学 2016-09-20 Konstantin G. Zloshchastiev

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

偏微分方程分析 · 数学 2016-01-05 Liliana Borcea , Josselin Garnier

Unidirectional wave propagation has emerged as a key concept in the dynamics of non-reciprocal mechanical and acoustic metamaterials. This work investigates two fundamentally distinct strategies for achieving directional wave propagation in…

应用物理 · 物理学 2026-05-29 João H. S. Brandão , Danilo Braghini , José R. F. Arruda

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an isotropic linear dielectric material, with randomly…

数学物理 · 物理学 2013-10-21 Ricardo Alonso , Liliana Borcea

In this paper, we discuss the transport phenomena of electromagnetic waves in a two-dimensional random system which is composed of arrays of electrical dipoles, following the model presented earlier by Erdogan, et al. (J. Opt. Soc. Am. B…

软凝聚态物质 · 物理学 2009-11-10 Ken Wang , Zhen Ye

In this paper, we study the interactions of electromagnetic waves with a non-dispersive dynamic medium that is temporally dependent. Electromagnetic fields under material time-modulation conserve their momentum but not their energy. We…

光学 · 物理学 2023-07-19 Theodoros T. Koutserimpas , Romain Fleury

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

无序系统与神经网络 · 物理学 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

We rigorously calculate the propagation and scattering of electromagnetic waves by rectangular and random arrays of dielectric cylinders in a uniform medium. For regular arrays, the band structures are computed and complete bandgaps are…

无序系统与神经网络 · 物理学 2009-11-07 Bikash C. Gupta , Yu-Yu Chen , Zhen Ye

Recent experiments have demonstrated that it is possible to alter the dispersion of a medium without significantly altering its absorption or refractive index and that this may be done while a wave propagates through the medium. This…

光学 · 物理学 2010-06-10 Douglas H. Bradshaw , Michael D. Di Rosa

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated medium. Precisely, we assume that the permeability is unchanged while the permittivity has a multiple-step profile in time and uniformly constant in…

数学物理 · 物理学 2023-12-18 Mourad Sini , Haibing Wang , Qingyun Yao

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

软凝聚态物质 · 物理学 2021-01-26 Vladislav A. Yastrebov

We analyze the propagation of electromagnetic waves in media where the dielectric constants undergo rapid temporal periodic modulation. Both spatially homogeneous and periodic media are studied. Fast periodic temporal modulation of the…

We study cumulative scattering effects on wave front propagation in time dependent randomly layered media. It is well known that the wave front has a deterministic characterization in time independent media, aside from a small random shift…

偏微分方程分析 · 数学 2016-01-20 Liliana Borcea , Knut Solna
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