Journal•ISSN: 0959-7174
Waves in Random Media
Taylor & Francis
About: Waves in Random Media is an academic journal. The journal publishes majorly in the area(s): Scattering & Wave propagation. It has an ISSN identifier of 0959-7174. Over the lifetime, 464 publications have been published receiving 11253 citations.
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TL;DR: A quantum graph as discussed by the authors is a graph equipped with a self-adjoint differential or pseudo-differential Hamiltonian, which is a special case of a combinatorial graph model.
Abstract: A quantum graph is a graph equipped with a self-adjoint differential or pseudo-differential Hamiltonian. Such graphs have been studied recently in relation to some problems of mathematics, physics and chemistry. The paper has a survey nature and is devoted to the description of some basic notions concerning quantum graphs, including the boundary conditions, self-adjointness, quadratic forms, and relations between quantum and combinatorial graph models.
681 citations
TL;DR: In this paper, a review of recent experimental work on random laser with coherent feedback is presented, including measurement of the lasing threshold, lasing spectra, emission pattern, dynamical response, photon statistics, speckle pattern and the investigation of relevant length scales.
Abstract: A random laser is a non-conventional laser whose feedback mechanism is based on disorder-induced light scattering. Depending on whether the feedback supplied by scattering is intensity feedback or amplitude feedback, random lasers are classified into two categories: random lasers with incoherent feedback and random lasers with coherent feedback. A brief survey of random lasers with incoherent feedback is presented. It is followed by a review of our recent experimental work on random lasers with coherent feedback, including measurement of the lasing threshold, lasing spectra, emission pattern, dynamical response, photon statistics, speckle pattern and the investigation of relevant length scales. Large disorder leads to spatial confinement of the lasing modes, that is the foundation for the micro random laser. Some theoretical models of random lasers with coherent feedback are briefly introduced. The study of random lasers improves our understanding of the interplay between light localization and c...
508 citations
TL;DR: In this paper, two methods for modeling Kolmogorov phase fluctuations over a finite aperture are described, one relies on the incorporation of subharmonics in order to model accurately the low frequencies of the Kolgorov spectrum.
Abstract: Two new methods for modelling Kolmogorov phase fluctuations over a finite aperture are described. The first method relies on the incorporation of subharmonics in order to model accurately the low frequencies of the Kolmogorov spectrum. The second method provides a less accurate, but much faster method for simulating the Kolmogorov spectrum by using a midpoint displacement algorithm used in computer graphics.
469 citations
TL;DR: In this paper, the authors provide a critical and up-to-date survey of the analytical approximate methods that are encountered in scattering from random rough surfaces and provide synthetic tables of their respective performances, according to a dozen important requirements a valuable method should meet.
Abstract: This review is intended to provide a critical and up-to-date survey of the analytical approximate methods that are encountered in scattering from random rough surfaces. The underlying principles of the different methods are evidenced and the functional form of the corresponding scattering amplitude or cross-section is given. The reader is referred to the original papers in order to obtain the explicit expressions of the coefficients and kernels. We have tried to identify the main strengths and weaknesses of the various theories. We provide synthetic tables of their respective performances, according to a dozen important requirements a valuable method should meet. Both scalar acoustic and vector electromagnetic theories are equally addressed.
413 citations
TL;DR: A brief survey on graph models for wave propagation in thin structures is presented in this article, with references to works with other studies are provided, although references are limited to spectral problems.
Abstract: A brief survey on graph models for wave propagation in thin structures is presented. Such models arise in many areas of mathematics, physics, chemistry and engineering (dynamical systems, nanotechnology, mesoscopic systems, photonic crystals etc). Considerations are limited to spectral problems, although references to works with other studies are provided.
311 citations