7 edition of Chaos and dynamics of rays in waveguide media found in the catalog.
Includes bibliographical references (p. 301-310) and index.
|Statement||by S.S. Abdullaev ; edited by G.M. Zaslavsky ; translated from the Russian by Igor Yastrzhembsky and Anwar Shukurov.|
|Contributions||Zaslavsky, George M.|
|LC Classifications||QC661 .A23 1993|
|The Physical Object|
|Pagination||xvi, 312 p. :|
|Number of Pages||312|
|LC Control Number||91042992|
Chaos publishes research in the field of nonlinear dynamics including topics such as network structure and dynamics, synchronization, pattern formation, classical and quantum chaos, machine learning for complex systems and applications of nonlinear phenomena in other fields. In contrast, for large deformations (˜10%) some resonances are found to have longer lifetimes than predicted by the ray chaos model due to the phenomenon of 'dynamical localization'8.
“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (—)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of. 1. Chaos. Jan;3(1) Ray dynamics of the propagation of sound in nonuniform moving media. Abdullaev SS(1). Author information: (1)Scientific Research Institute "Biokibernetika" at the Uzbek Scientific Industrial Union "Kibernetika" Academy of Sciences of Uzbekistan, F. Khodzhaev Street, 34, Tashkent , Uzbekistan, SNG. This paper presents a new ray theory for the propagation Cited by: 2.
Electrodynamics of Continuous Media In ordinary fluid dynamics, the dissipative processes are governed by three quantities, namely two coefficients of viscosity and thermal conductivity. The chapter also describes the propagation of electromagnetic waves in waveguides. A waveguide is a hollow pipe of infinite length, that is, a cavity. A Los Angeles Times Book Prize FinalistMost of us learn about science from media coverage, and anyone seeking factual information on climate change, vaccine safety, genetically modified foods, or the dangers of peanut allergies has to sift through an avalanche.
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The studies on ray chaos in waveguide media is another active research area in the underwater acoustics and optics, known as ray and wave chaos (see a review by A. Virovlyansky, D.V. Makarov. ISBN: OCLC Number: Description: xvi, pages: illustrations ; 24 cm: Contents: Ch.
The Equations of Geometrical Optics and Ray Dynamics --Ch. ts of Nonlinear Dynamics --Ch. ide Systems and Resonators --Ch. in Inhomogeneous Moving Media --Ch. cs of Rays in Waveguide Channels with Periodic Longitudinal. The book is intended for acousticians investigating the long-range sound transmission through the fluctuating ocean and also for researchers studying waveguide propagation in other media.
It will be of major interest to scientists working in the field of dynamical and quantum chaos. A study is made of nonlinear dynamics of rays in waveguide resonators with a regular inhomogeneity inside.
Both nonlinear resonance and stochastic instability of rays are analyzed. Ray dynamics in waveguide media exhibits chaotic motion. For a finite length of propagation, the large distance asymptotics is not uniform and represents a complicated combination of bunches of rays with different intermediate by: Abstract An investigation is made of the classical nonlinear resonance and the classical stochastic dynamics of rays in waveguide media with irregular inhomogeneities.
Analytic and numerical methods are used to study the characteristics of the ray trajectories, their confinement in a nonlinear resonance, and the development of chaotic behavior.
Color represents the total intensity of rays in a tiny area around each point in the SOS. The vertical solid lines and horizontal dotted line indicate the exit window to the waveguide and the critical line, respectively. FIG. 3 (color online).
(a) Resonance spectrum of the cavity- waveguide system. It has been demonstrated that the mechanism of emergence of ray chaos due to overlapping of nonlinear ray-medium resonances should play an important role in long range sound propagation. In this Chapter we consider the chaotic ray motion and its manifestations in the modal structure of the wave field in a deep water acoustic waveguide.
It is assumed that the ray and wave chaos is. Electromagnetic Waveguides: Theory and Applications. Intended for first year graduate students, this book addresses the basic problems associated with a waveguide as a communication medium.
It includes studies of metallic cylindrical waveguides, surface impedance waveguides, dielectrical and open waveguides and natural waveguides.2/5(1).
The phenomenon of ray chaos and its manifestation at a finite wavelength wave chaos have been investigated by combining methods from the theory of wave propagation and the theory of dynamical and quantum chaos.
This book is the first monograph summarizing results obtained in this field. This paper analyzes the chaotic ray dynamics at multimegater ranges in a deep water environment with internal-wave-induced fluctuations of the sound speed.
The behavior of acoustic ray paths is investigated using the Hamiltonian formalism expressed in terms of action-angle variables. It is shown that the range dependence of the action variable of chaotic ray can be approximated by a random Cited by: We consider the conditions for dynamical chaos of rays in a waveguide with longitudinal periodic inhomogeneities.
We examine the conditions for internal spatial nonlinear resonance and chaos of. One of the most interesting features of ray dynamics is the possibility of the dynamical chaos of rays when a waveguide carries longitudinal periodic inhomogeneities.
Unlike ray dynamics, where wave features are omitted, the important specific features of wave propagation can be taken into account by considering the parabolic equation for a small-angle propagation , .Cited by: 8.
Abdullaev, S.S., Chaos and dynamics of rays in waveguide media, Gordon and Breach Science Publishers, Goldstein, H, Classical mechanics, Addison-Wesley Publishing company, second. Ray and wave chaos in ocean acoustics: chaos in waveguides.
[Denis Makarov;] -- A systematic study of chaotic ray dynamics in underwater acoustics began in the mids when it was realized that this factor plays a crucial role in long-range sound propagation in the ocean.
We consider the conditions for dynamical chaos of rays in a waveguide with longitudinal periodic inhomogeneities. We examine the conditions for internal spatial nonlinear resonance and chaos of rays in waveguides with an irregular cross section and their effect on the propagation velocity of a signal.
Books at Amazon. The Books homepage helps you explore Earth's Biggest Bookstore without ever leaving the comfort of your couch. Here you'll find current best sellers in books, new releases in books, deals in books, Kindle eBooks, Audible audiobooks, and so much g: rays.
Ray dynamics of the propagation of sound in nonuniform moving media. Classical chaotic dynamics of sound rays in 3-D inhomogeneous waveguide media.
Abdullaev SS. Chaos, 4(1), Wave chaos and mode-medium resonances at long Cited by: 2. Physical mechanisms of the rogue wave phenomenon.
Author links open overlay panel Christian Kharif a Efim Pelinovsky b. Abstract. A review of physical mechanisms of the rogue wave phenomenon is given. The data of marine observations as well as laboratory experiments are briefly discussed.
Chaos and Dynamics of Rays in Waveguide Media Cited by:. speed of light). So, in media with n>1, the waves propagate slowly (slow waves) and, hence, electrons can move faster than the wave: In such a case the electrons can be decelerated by the wave, which means that electrons will transfer a part of their energy to the wave.
In other words, the energy of electrons can be partly transformed.V-Ray Next for Revit brings scene intelligence, asset management and simple workflows deep into the design process. rchitects can now be more creative in their favorite tool, using dozens of new features and improvements to produce photorealistic imagery faster than ever before.
V-Ray Next for Maya, update 2 – Available now. An approximate analytical approach is developed to describe the chaotic behavior of ray trajectories in a deep-water acoustic waveguide up to three to five thousands of kilometers in length.
The ray dynamics is investigated using the Hamiltonian formalism expressed in terms of the canonical action-angle variables. A realistic waveguide model is used, with refractive-index fluctuations due to Cited by: