Monte Carlo method in nonlinear statistical optics
TL;DR: The state of the art of Monte Carlo studies of randomly modulated optical waves in regular and randomly inhomogeneous nonlinear media is reviewed in this article, where a wide range of phenomena dealt with in nonlinear statistical optics are discussed, including self-phase noise pulse modulation, the selfaction of partially coherent beams, the formation and instability of solitons, stimulated Raman scattering, intensive light beams in a turbulent atmosphere, and adaptive radiation focusing.
Abstract: The state of the art of the Monte Carlo studies of randomly modulated optical waves in regular and randomly inhomogeneous nonlinear media is reviewed. A wide range of phenomena dealt with in nonlinear statistical optics are discussed, including self-phase noise pulse modulation, the self-action of partially coherent beams, the formation and instability of solitons, stimulated Raman scattering, intensive light beams in a turbulent atmosphere, and adaptive radiation focusing. Special attention is given to the justification of the phase screen model for a randomly inhomogeneous nonlinear continuum, and the numerical simulation of random light fields is discussed in detail.
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TL;DR: In this article, the propagation of photon-density diffusion waves in scattering and absorbing media is analyzed and the prospects of these waves for optical tomography are discussed, as well as the inverse problem of finding biotissue optical parameters are discussed.
Abstract: Tissue optics is a rapidly expanding field of great interest to those involved in the development of optical medical technologies. In the present review both strongly (multiple) scattering tissues, such as skin, brain tissues, and vessel walls, and weakly scattering high-transparent tissues, such as eye tissues (cornea and lens), are discussed. For the former, radiation transport theory or Monte Carlo simulation are used to describe the propagation of light (laser beams). For weakly scattering ordered tissues, ensembles of close-packed Rayleigh or Mie scatterers are employed. Methods for solving the inverse problem of finding biotissue optical parameters are discussed. The propagation of photon-density diffusion waves in scattering and absorbing media is analyzed and the prospects of these waves for optical tomography are discussed. Polarization phenomena in both strongly and weakly scattering biotissues are discussed.
314 citations
TL;DR: In this article, the authors review the development of adaptive optics as an effective tool that allows using controllable optical elements to eliminate irregular distortions that occur as light propagates in an inhomogeneous medium.
Abstract: In connection with the wide use of optoelectronic systems, we review the development of adaptive optics as an effective tool that allows using controllable optical elements to eliminate irregular distortions that occur as light propagates in an inhomogeneous medium. The subject matter of this rapidly developing field of science and technology is described. Of the ideas under development in recent years, many have been around for quite a long time, but it is only now, with the development of an up-to-date optoelectronic element base, that they have started being widely incorporated into science and engineering practice. We discuss the development of adaptive optics from mere ideas to their application in astronomy, high-power laser physics, and medicine. The current state of adaptive optics in stellar and solar astronomy is reviewed, and some results of its use in distortion correction systems of high-power laser systems and facilities are presented.
204 citations
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TL;DR: In this paper, the authors describe a family of laser beams termed spiral whose intensity remains invariable, up to scale and rotation, during propagation and focusing, and emphasize the feasibility of making lasers that directly generate beams with desired properties without additional unconventional optics.
Abstract: This paper discusses theoretical and experimental results of the investigation of light beams that retain their intensity strusture during propagation and focusing. We describe a family of laser beams termed spiral whose intensity remains invariable, up to scale and rotation, during propagation. Several properties of spiral beams are of practical interest for laser technologies, medicine, and microbiology. The problem of synthesis of spiral beams with the intensity distribution given by an arbitrary planar curve is considered. We emphasize the feasibility, in principle, of making lasers that directly generate beams with desired properties without additional unconventional optics.
152 citations
TL;DR: In this article, the results of numerical and experimental studies in quasi-two-dimensional (Q2D) turbulence were reviewed and it was shown that theoretical energy spectra with slopes −5/3 and −3 (Kraichnan-Batchelor-Leith) can be observed only for a special set of external parameters.
Abstract: We review the results of numerical and experimental studies in quasi-two-dimensional (Q2D) turbulence. We demonstrate that theoretical energy spectra with slopes –5/3 and –3 (Kraichnan–Batchelor–Leith) can be observed only for a special set of external parameters. The bottom drag, beta effect, finite Rossby–Obukhov radius or vertical stratification, which distinguish geophysical Q2D turbulence from its purely 2D counterpart, determine the organization of a Q2D flow on a large scale. Since the spectral energy flux in 2D turbulence is directed upscale, the bottom friction takes on a special role. In the absence of bottom drag the energy condenses on the largest resolvable scale and flow equilibration is not attained.
124 citations
TL;DR: The current status of research on coherent light backscattering, temporal and spatial correlations of intensity of light propagating through a randomly inhomogeneous medium, and coherent effects due to the multiple scattering from very rough surfaces are reviewed in this article.
Abstract: The current status of research on coherent phenomena in multiple light scattering from disordered systems is reviewed. The coherent light backscattering, temporal and spatial correlations of intensity of light propagating through a randomly inhomogeneous medium, and coherent effects due to the multiple scattering from very rough surfaces are considered. The present-day theories as well as methods and results of experimental studies are outlined. Almost all theoretical predictions are found to be illustrated well by respective experimental data.
99 citations
References
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Book•
01 Jan 1989TL;DR: The field of nonlinear fiber optics has advanced enough that a whole book was devoted to it as discussed by the authors, which has been translated into Chinese, Japanese, and Russian languages, attesting to the worldwide activity in the field.
Abstract: Nonlinear fiber optics concerns with the nonlinear optical phenomena occurring inside optical fibers. Although the field ofnonlinear optics traces its beginning to 1961, when a ruby laser was first used to generate the second-harmonic radiation inside a crystal [1], the use ofoptical fibers as a nonlinear medium became feasible only after 1970 when fiber losses were reduced to below 20 dB/km [2]. Stimulated Raman and Brillouin scatterings in single-mode fibers were studied as early as 1972 [3] and were soon followed by the study of other nonlinear effects such as self- and crossphase modulation and four-wave mixing [4]. By 1989, the field ofnonlinear fiber optics has advanced enough that a whole book was devoted to it [5]. This book or its second edition has been translated into Chinese, Japanese, and Russian languages, attesting to the worldwide activity in the field of nonlinear fiber optics.
15,770 citations
01 Jan 1984
TL;DR: A simple introduction to Monte Carlo simulation and some specialized topics can be found in this article, where Monte Carlo studies of Critical and Multicritical Phenomena and Monte Carlo Calculations in Lattice Gauge Theories are discussed.
Abstract: 1. A Simple Introduction to Monte Carlo Simulation and Some Specialized Topics.- 2. Recent Developments in the Simulation of Classical Fluids.- 3. Monte Carlo Studies of Critical and Multicritical Phenomena.- 4. Few- and Many-Fermion Problems.- 5. Simulations of Polymer Models.- 6. Simulation of Diffusion in Lattice Cases and Related Kinetic Phenomena.- 7. Roughening and Melting in Two Dimensions.- 8. Monte Carlo Studies of "Random" Systems.- 9. Monte Carlo Calculations in Lattice Gauge Theories.- 10. Recent Developments.- Additional References with Titles.
697 citations