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The combination of the interference with the amplification of modes in a waveguide with gain and losses can result in a giant amplification of the propagating beam, which propagates without distortion of its average amplitude. An increase…

We determine the cumulants of electromagnetic energy transmitted through one-dimensional disordered medium with absorption or amplification. For this purpose we derive the Keldysh nonlinear sigma-model action with a source term that…

光学 · 物理学 2013-09-02 Zhong Yuan Lai , Oleg Zaitsev

We study local and nonlocal correlations of light transmitted through active random media. The conventional approach results in divergence of ensemble averaged correlation functions due to existence of lasing realizations. We introduce…

无序系统与神经网络 · 物理学 2007-05-23 Alexey Yamilov , Shih-Hui Chang , Aleksander Burin , Allen Taflove , Hui Cao

Sample-to-sample fluctuations of the time-dependent conductance of a system with static disorder have been studied by means of diagrammatic theory and microwave pulsed transmission measurements. The fluctuations of time-dependent…

介观与纳米尺度物理 · 物理学 2009-07-23 N. Cherroret , A. Pena , A. A. Chabanov , S. E. Skipetrov

Wave transport in disordered media is a fundamental problem with direct implications in condensed matter, materials science, optics, atomic physics, and even biology. The majority of studies are focused on Hermitian systems to understand…

无序系统与神经网络 · 物理学 2025-03-12 I. Komis , K. G. Makris , K. Busch , R. El-Ganainy

Light propagating in an optical waveguide can gain or lose power through interaction with a travelling acoustic wave or radio-frequency modulation of permittivity. Here, we model this propagation by considering an optical wave interacting…

光学 · 物理学 2026-02-03 M. Sumetsky

We numerically study the statistical distribution of intensity transmitted through quasi-one dimensional random media by varying the dimensionless conductance $g$ and the amount of absorption or gain. Markedly non-Rayleigh distribution is…

无序系统与神经网络 · 物理学 2007-05-23 Alexey Yamilov , Hui Cao

We show how the recurrence phenomenon characteristic of the nonlinear stage of induced modulational instability in a passive fiber is affected by forcing. An additional linear amplification, even if extremely weak, induces separatrix…

Controlling the flow of energy in a random medium is a research frontier with a wide range of applications. As recently demonstrated, the effect of disorder on the transmission of optical beams, may be partially compensated by wavefront…

光学 · 物理学 2013-05-01 Marco Leonetti , Claudio Conti , Cefe Lopez

A study on the effects of optical gain nonuniformly distributed in one-dimensional random systems is presented. It is demonstrated numerically that even without gain saturation and mode competition, the spatial nonuniformity of gain can…

光学 · 物理学 2010-08-25 Jonathan Andreasen , Christian Vanneste , Li Ge , Hui Cao

We address the issue of whether amplification, like absorption, suppresses wave transmission at large gain, as has been claimed in previous studies of wave propagation in active random media. A closer examination reveals that the…

无序系统与神经网络 · 物理学 2009-10-31 Xunya Jiang , Qiming Li , C. M. Soukoulis

The amplitude of fluctuation-induced patterns might be expected to be proportional to the strength of the driving noise, suggesting that such patterns would be difficult to observe in nature. Here, we show that a large class of…

统计力学 · 物理学 2017-01-11 Tommaso Biancalani , Farshid Jafarpour , Nigel Goldenfeld

We study the propagation of radiation through a disordered waveguide with a complex dielectric constant $\epsilon$, and show that dual systems, which differ only in the sign of the imaginary part of $\epsilon$, have the same localization…

凝聚态物理 · 物理学 2008-02-03 J. C. J. Paasschens , T. Sh. Misirpashaev , C. W. J. Beenakker

We report a detailed and systematic numerical study of wave propagation through a coherently amplifying random one-dimensional medium. The coherent amplification is modeled by introducing a uniform imaginary part in the site energies of the…

无序系统与神经网络 · 物理学 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

偏微分方程分析 · 数学 2018-12-05 Liliana Borcea , Josselin Garnier

We study the wave transport through a disordered system inside a waveguide. The expectation value of the complex reflection and transmission coefficients (the coherent fields) as well as the transmittance and reflectance are obtained…

无序系统与神经网络 · 物理学 2014-10-24 M. Yepez

Stronger light intensity fluctuations are pursued by related applications such as optical resolution, image enhancement, and beam positioning. In this paper, an Nth-order light intensity fluctuation amplifier is proposed, which was…

Media featuring both optical gain and disorder, such as random lasers, represent formidable challenges as subjects of research due to the high complexity of the light propagation within them; however, dramatic advances in this nascent field…

We study the competing effects of stimulated and spontaneous emission on the information capacity of an amplifying disordered waveguide. At the laser threshold the capacity reaches a "universal" limit, independent of the degree of disorder.…

量子物理 · 物理学 2007-05-23 J. Tworzydlo , C. W. J. Beenakker

A study of statistics of transmission and reflection from a random medium with stochastic amplification as opposed to coherent amplification is presented. It is found that the transmission coefficient $t$, for sample length $L$ less than…

无序系统与神经网络 · 物理学 2007-05-23 Sandeep K. Joshi , A. M. Jayannavar
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