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We discuss here in detail a new analytical random walk approach to calculating the phase-diagram for spatially extended systems with multiplicative noise. We use the Anderson localization problem as an example. The transition from…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. N. Kuzovkov , W. von Niessen

We develop an analytical theory for diffusive random lasers by coupling the transport theory of the disordered medium to the semiclassical laser rate equations, accounting for (coherent) stimulated and (incoherent) spontaneous emission.…

Disordered Systems and Neural Networks · Physics 2012-03-27 R. Frank , A. Lubatsch , J. Kroha

We show that the polarization state of coherent light propagating through an optically thick multiple-scattering medium, can be controlled by wavefront shaping, i.e. by controlling only the spatial phase of the incoming field with a spatial…

Optics · Physics 2015-06-05 Yefeng Guan , Ori Katz , Eran Small , Jianying Zhou , Yaron Silberberg

We study the collective phenomenon in the scattering of a single-photon by one or two layers of two-level atoms. By modeling the photon dispersion with a two-dimensional (2D) coupled cavity array, we analytically derive the scattering…

Quantum Physics · Physics 2013-07-23 D. Z. Xu , Yong Li , C. P. Sun , Peng Zhang

We predict a sharp crossover from nonlinear self-defocusing to discrete self-trapping of a narrow Gaussian beam with the increase of the refractive index contrast in a periodic photonic lattice. We demonstrate experimentally nonlinear…

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…

Optics · Physics 2013-05-01 Marco Leonetti , Claudio Conti , Cefe Lopez

We present an analytical description of the nonlocal optical response of plasmonic nanowire metamaterials that enable negative refraction, subwavelength light manipulation, and emission lifetime engineering. We show that dispersion of…

Optics · Physics 2014-01-13 Brian M. Wells , Anatoly V. Zayats , Viktor A. Podolskiy

Electromagnetic wave manipulation plays a crucial role in advancing technology across various domains, including photonic device design. This study presents an inverse design approach for a periodic medium that optimizes electromagnetic…

Optimization and Control · Mathematics 2025-10-06 Ziling Chen , Fadil Santosa

Light propagation in an infinite uniform turbid medium is treated as a Markov stochastic process of photons to provide an intuitive framework for photon migration. The macroscopic physical quantities of photon migration are shown to be…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Xu , W. Cai , M. Lax , R. R. Alfano

We study by molecular dynamics computer simulation a binary soft-sphere mixture that shows a pronounced decoupling of the species' long-time dynamics. Anomalous, power-law-like diffusion of small particles arises, that can be understood as…

Statistical Mechanics · Physics 2013-05-29 Th. Voigtmann , J. Horbach

Single-particle and coincidence distributions of photons are analyzed for the noncollinear frequency-degenerate type-I regime of Spontaneous Parametric Down-Conversion. Noncollinearity itself is shown to provide a new mechanism of strong…

Quantum Physics · Physics 2018-01-24 M. V. Fedorov

By means of the optical metric, we investigate the propagation of a polarized light in an inhomogeneous medium in this paper. We find that the evolution of photons is affected by the spin-spin interaction of photons, besides the spin-orbit…

Optics · Physics 2015-06-15 Hehe Li , Zhigang Bu , Yuee Luo , Wenbo Chen , Peiyong Ji

The full distribution of the conductance $P(G)$ in quasi-one-dimensional wires with rough surfaces is analyzed from the diffusive to the localization regime. In the crossover region, where the statistics is dominated by only one or two…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Garcia-Martin , J. J. Saenz

We analyze the role of spectral diffusion in the problem of many-body delocalization in quantum dots and in extended systems. The spectral diffusion parametrically enhances delocalization, modifying the scaling of the delocalization…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov , A. L. Burin

We study the diffusion phenomena on the negatively curved surface made up of congruent heptagons. Unlike the usual two-dimensional plane, this structure makes the boundary increase exponentially with the distance from the center, and hence…

Statistical Mechanics · Physics 2008-07-15 Seung Ki Baek , Su Do Yi , Beom Jun Kim

Multiple optical scattering occurs when light propagates in a non-uniform medium. During the multiple scattering, images were distorted and the spatial information they carried became scrambled. However, the image information is not lost…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Xinyu Gao , Yi Li , Yanqing Qiu , Bangning Mao , Miaogen Chen , Yanlong Meng , Chunliu Zhao , Juan Kang , Yong Guo , Changyu Shen

Time-reflection occurs when a wave is propagating in a medium undergoing a large and abrupt change in its properties: the original wave splits into a time-refracted wave and a time-reflected wave, each displaying different features. The…

We study the persistent random walk of photons on a one-dimensional lattice of random asymmetric transmittances. Each site is characterized by its intensity transmittance t (t') for photons moving to the right (left) direction.…

Statistical Mechanics · Physics 2012-03-19 Zeinab Sadjadi , MirFaez Miri

Spatial inhomogeneity, temporal modulation, and engineered anisotropy of parameters of electromagnetic media offer numerous opportunities for manipulating light-matter interaction over the past decades. Here, we investigate a scenario in…

Chromatic dispersion, an inherent wavelength-dependent phenomenon in optical systems, has traditionally been regarded as a detrimental effect to be minimized in imaging and display. Here, we present a paradigm shift by deliberately…

Optics · Physics 2025-12-19 Zi Wang , Dong Zhao , Li Liang , Hengyi Wang , Yuan Liu , Fang-Wen Sun , Kun Huang