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We study the scattering properties of optical dipole-mode vector solitons recently predicted theoretically and generated in a laboratory. We demonstrate that such a radially asymmetric composite self-trapped state resembles ``a molecule of…

Pattern Formation and Solitons · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia , W. Krolikowski , Y. S. Kivshar

We describe new families of random fractals, referred to as "V-variable", which are intermediate between the notions of deterministic and of standard random fractals. The parameter V describes the degree of "variability" : at each…

Probability · Mathematics 2007-05-23 Michael Barnsley , John E. Hutchinson , Örjan Stenflo

We examine whether a cosmologically significant distribution of dark galaxy group or cluster-sized objects can have an optical depth for multiple imaging of distant background sources which is comparable to that from known galaxies while at…

Astrophysics · Physics 2011-02-11 Yu-Chung N. Cheng , Lawrence M. Krauss

Fractal Lipschitz-Killing curvature measures C^f_k(F,.), k = 0, ..., d, are determined for a large class of self-similar sets F in R^d. They arise as weak limits of the appropriately rescaled classical Lipschitz-Killing curvature measures…

Metric Geometry · Mathematics 2010-09-29 Steffen Winter , Martina Zähle

Light interference in strongly disordered photonic media can generate lasers where random modes are amplified in unpredictable way. The ease of fabrication, along with their low coherence caused by multiple small-linewidth peaks, made…

Optics · Physics 2020-07-30 Niccolò Caselli , Antonio Consoli , Angel Maria Mateos , Cefe López

Complex systems exhibit rich equilibrium states, yet the universal principles governing these systems remain unrevealed, motivating the search for novel experimental platforms. Random fiber lasers (RFLs), which generate partially-coherent…

The diffraction spectrum of coherent waves scattered from fractal supports is calculated exactly. The fractals considered are of the class generated iteratively by successive dilations and translations, and include generalizations of the…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger-Lidar

Diffuse scattering of light from disordered assemblies is traditionally viewed as an uncontrollable broadband scattering background resulting in whitish hues. Here, we demonstrate that correlated disorder enables precise engineering of…

A new type of the THz laser is proposed. A coherent tera-hertz light is emitted through the backward Raman scattering between a visible light laser and a relativistic electron beam. The threshold conditions for the laser intensity and the…

Plasma Physics · Physics 2020-03-05 S. Son

The processes of radiation defects formation and evolution have been simulated in cubic dielectric crystals by the computational method of cellular automata. If suppose that the defects concentration as a parameter, which characterizes a…

Cellular Automata and Lattice Gases · Physics 2011-05-03 K. Baktybekov , Ye. Vertyagina

The fractal properties of models of randomly placed $n$-dimensional spheres ($n$=1,2,3) are studied using standard techniques for calculating fractal dimensions in empirical data (the box counting and Minkowski-sausage techniques). Using…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger , Ofer Biham , David Avnir

Intrinsic spectrum that results from the coupling of spontaneous emission in a laser cavity, can determine the energy concentration and coherence of lasers, which is crucial for the optical high-precision measurement. Up to now, it is hard…

Anomalous short- and long-time self-diffusion of non-overlapping fractal particles on a percolation cluster with spreading dimension $1.67(2)$ is studied by dynamic Monte Carlo simulations. As reported in Phys. Rev. Lett. 115, 097801…

Computational Physics · Physics 2020-10-08 Marco Heinen

In conventional lasers, the optical cavity that confines the photons also determines essential characteristics of the lasing modes such as wavelength, emission pattern, ... In random lasers, which do not have mirrors or a well-defined…

Disordered Systems and Neural Networks · Physics 2016-09-08 Jonathan Andreasen , Ara Asatryan , Lc Botten , Michael Byrne , Hui Cao , Li Ge , Laurent Labonté , Patrick Sebbah , A. D. Stone , Hakan Türeci , Christian Vanneste

The invention of lasers 60 years ago is one of the greatest breakthroughs in modern optics. Throughout the years, lasers have enabled major scientific and technological advancements, and have been exploited in numerous applications due to…

Optics · Physics 2019-09-17 Hui Cao , Ronen Chriki , Stefan Bittner , Asher A. Friesem , Nir Davidson

A theory is presented (and supported by numerical simulations) for phase-coherent reflection of light by a disordered medium which either absorbs or amplifies radiation. The distribution of reflection eigenvalues is shown to be the Laguerre…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. C. J. Paasschens , P. W. Brouwer

The non-linear coupled particle light dynamics of an ultracold gas in the field of two independent counter-propagating laser beams can lead to the dynamical formation of a self-ordered lattice structure as presented in Phys. Rev. X 6,…

Quantum Physics · Physics 2018-01-17 Stefan Ostermann , Francesco Piazza , Helmut Ritsch

While the universe becomes more and more homogeneous at large scales, statistical analysis of galaxy catalogs have revealed a fractal structure at small-scales (\lambda < 100 h^{-1} Mpc), with a fractal dimension D=1.5-2 (Sylos Labini et al…

Astrophysics · Physics 2010-11-30 H. J. de Vega , N. Sánchez , F. Combes

The aim of this review article is to give a comprehensive description of the scaling properties detected for the distribution of cosmic structures. Due to the great variety of statistical methods to describe the large-scale structure of the…

Astrophysics · Physics 2008-11-26 Stefano Borgani

We show that a metallic plate with fractal-shaped slits can be homogenitized as a plasmonic metamaterial with plasmon frequency dictated by the fractal geometry. Owing to the all-dimensional subwavelength nature of the fractal pattern, our…

Optics · Physics 2015-05-13 Xueqin Huang , Dexin Ye , Shiyi Xiao , Jiangtao Huangfu , Zhiyu Wang , Lixin Ran , Lei Zhou