Caustics Catastrophes And Wave Fields

Author : Yu.A. Kravtsov,Yu.I. Orlov
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642598876

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Caustics, Catastrophes and Wave Fields by Yu.A. Kravtsov,Yu.I. Orlov Pdf

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.

Author : Yu.A. Kravtsov,Yu.I. Orlov
Publisher : Springer
Page : 210 pages
File Size : 51,9 Mb
Release : 1993-11-24
Category : Science
ISBN : 3540565876

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Caustics, Catastrophes and Wave Fields by Yu.A. Kravtsov,Yu.I. Orlov Pdf

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" by analysing caustics and their fields on the basis of modern catastrophe theory. The present volume covers local and uniform caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of canonical operators , Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.

Author : Iı̐Uı̐Łrii Aleksandrovich Kravtı̐sı̐Łov,I︠U︡riĭ Ilʹich Orlov
Publisher : Springer Series on Wave Phenomena
Page : 236 pages
File Size : 55,5 Mb
Release : 1999
Category : Mathematics
ISBN : STANFORD:36105023484392

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Caustics, Catastrophes and Wave Fields by Iı̐Uı̐Łrii Aleksandrovich Kravtı̐sı̐Łov,I︠U︡riĭ Ilʹich Orlov Pdf

The second edition of Histological Typing of Salivary Gland Tumours is more extensive and detailed than the previous edition. New technical methods haveincreased our understanding of many tumours. The various types of carcinomas are categorized separately and the inclusion of the TNM Classification of salivary gland tumours and the more detailed description of the lesions will contribute to a better understanding.

Author : Alessandro Zannotti
Publisher : Springer Nature
Page : 180 pages
File Size : 53,7 Mb
Release : 2020-09-26
Category : Science
ISBN : 9783030530884

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Caustic Light in Nonlinear Photonic Media by Alessandro Zannotti Pdf

Caustics are natural phenomena, forming light patterns in rainbows or through drinking glasses, and creating light networks at the bottom of swimming pools. Only in recent years have scientists started to artificially create simple caustics with laser light. However, these realizations have already contributed to progress in advanced imaging, lithography, and micro-manipulation. In this book, Alessandro Zannotti pioneers caustics in many ways, establishing the field of artificial caustic optics. He employs caustic design to customize high-intensity laser light. This is of great relevance for laser-based machining, sensing, microscopy, and secure communication. The author also solves a long standing problem concerning the origin of rogue waves which appear naturally in the sea and can have disastrous consequences. By means of a far-reaching optical analogy, he identifies scattering of caustics in random media as the origin of rogue waves, and shows how nonlinear light-matter interaction increases their probability.

Author : AA Fuki
Publisher : Routledge
Page : 182 pages
File Size : 52,5 Mb
Release : 2019-07-16
Category : Technology & Engineering
ISBN : 9781351445306

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Geometrical Optics of Weakly Anisotropic Media by AA Fuki Pdf

Until recently, there was no effective method for describing waves in weakly anisotropic inhomogeneous media. The method of quasi-isotropic approximation (QIA) of geometrical optics was developed to overcome this problem. The QIA approach bridges the gap between geometrical optics of isotropic media (Rytov method) and that of anisotropic media (Courant-Lax approach). thus providing a complete picture of the geometrical optics of inhomogeneous media. The book explores recent developments in QIA and describes the application of the theory to different branches of wave physics, from plasma physics. quantum physics and ionospheric radio wave propagation to acoustics, optics and astrophysics. The authors present some modifications and generalisations of QIA equations, and look at electromagnetic waves and optical and acoustic effects in weakly anisotropic media, as well as geometrical optics of 3D inhomogeneous media. The book closes with some quantum mechanical analogies. This is an up-to-the minute exposition of the latest developments in an important new area, written by authors of outstanding international reputation. A rich source of both theoretical methods and practical applications, this book covers a wide range of problems of general physical significance and will be of interest to those working in optics, acoustics, electrical engineering, radio engineering and wave propagation through plasma.

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 1125 pages
File Size : 40,6 Mb
Release : 2008-09-03
Category : Mathematics
ISBN : 9783540853770

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Quantum Field Theory II: Quantum Electrodynamics by Eberhard Zeidler Pdf

And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.

Author : Vladimir I. Arnol'd
Publisher : Springer Science & Business Media
Page : 161 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642581243

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Catastrophe Theory by Vladimir I. Arnol'd Pdf

The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.

Author : I︠U︡riĭ Aleksandrovich Kravt︠s︡ov
Publisher : Alpha Science Int'l Ltd.
Page : 380 pages
File Size : 45,5 Mb
Release : 2005
Category : Science
ISBN : 1842651595

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Geometrical Optics in Engineering Physics by I︠U︡riĭ Aleksandrovich Kravt︠s︡ov Pdf

This monograph provides concise and clear coverage of modern ray theory without the need of complicated mathematics. Comprehensive coverage is given to wave problems in engineering physics, considering rays and caustics as physical objects.

Author : J.F Nye
Publisher : CRC Press
Page : 354 pages
File Size : 43,9 Mb
Release : 1999-01-01
Category : Technology & Engineering
ISBN : 0750306106

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Natural Focusing and Fine Structure of Light by J.F Nye Pdf

A new kind of optics has grown up during the last 25 years. Geometrical optics has been studied for centuries (the law of reflection was known to the ancient Greeks) and wave optics (heralded by Huygens' Treatise on Light) has been studied for more than 300 years. But in the mid 1970s it began to be understood that when natural processes focus light, as when sunlight is reflected from the sea at sunset, the light caustics that are produced have a systematic behavior previously unrecognized. Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations provides a definitive account of how classical optics has been reconstructed in a modern way by emphasizing the hierarchy of singularities that exists in light fields. The book discusses the singularities of geometrical optics and their systematization by catastrophe theory. It explores the diffraction patterns associated with caustics that are dominated by wave dislocations, line singularities of the phase, and analogous to crystal dislocations. The book is a perfect blend of mathematics and physics, combining theory, computer simulation, and beautiful experimental photographs of the phenomena studied.

Author : Alexander Karmazin
Publisher : KIT Scientific Publishing
Page : 222 pages
File Size : 50,5 Mb
Release : 2014-05-22
Category : Science
ISBN : 9783866449350

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Time-efficient Simulation of Surface-excited Guided Lamb Wave Propagation in Composites by Alexander Karmazin Pdf

The methods of time-efficient simulation of surface-excited wave propagation in plate-like multilayered composites are presented. The mathematical model of wave propagation in laminated plate based on the elasticity theory is transformed and then solved in wavenumber-frequency domain. The numerical methods for computation of inverse transform in time-space domain are developed and used for analysis of wave and energy propagation phenomena occurring in composite plates due to surface excitation.

Author : Tatiana Chaplina
Publisher : Springer Nature
Page : 680 pages
File Size : 49,7 Mb
Release : 2023-01-01
Category : Science
ISBN : 9783031165757

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Processes in GeoMedia—Volume VI by Tatiana Chaplina Pdf

The sixth volume of “Processes in GeoMedia”, connected to the Russian journal with the same name, publishes new results of theoretical and experimental studies of the processes occurring in the bowels of the earth, the ocean, and the atmosphere; particular attention is paid to geomechanical aspects of the production of hydrocarbons, including laboriously extracted oils, and to the ecological problems of the biosphere, the human impact on the environment, methods of geophysical research are within the range of the journal interests.

Author : Taco Visser
Publisher : Academic Press
Page : 422 pages
File Size : 42,9 Mb
Release : 2016-04-08
Category : Science
ISBN : 9780444637215

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Progress in Optics by Taco Visser Pdf

The Progress in Optics series contains more than 300 review articles by distinguished research workers, which have become permanent records for many important developments, helping optical scientists and optical engineers stay abreast of their fields. Comprehensive, in-depth reviews Edited by the leading authority in the field

Author : Anonim
Publisher : Unknown
Page : 632 pages
File Size : 47,6 Mb
Release : 1984
Category : Physics
ISBN : UOM:39015019020398

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Soviet Physics, Uspekhi by Anonim Pdf

Author : Vladimir Igorevich Arnolʹd,Aleksandr Nikolaevich Varchenko,A. B. Giventalʹ,A. G. Khovanskiĭ
Publisher : Unknown
Page : 92 pages
File Size : 44,5 Mb
Release : 2012
Category : Catastrophes (Mathematics)
ISBN : 1904868983

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Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals by Vladimir Igorevich Arnolʹd,Aleksandr Nikolaevich Varchenko,A. B. Giventalʹ,A. G. Khovanskiĭ Pdf

This classic paper is an introduction to some difficult contemporary fields of study in mathematics known under the rubric of Catastrophe Theory, which encompasses the theory of typical singularities of functions and mappings. The authors discuss the basic ideas, concepts and methods of the theory of singularities. The survey is presented in three sections: Section 1: Singularities of Functions, Caustics and Wave Fronts. Section 2: Integrals of the Stationary Phase Method. Section 3: The Geometry of Fomulas. The survey provides a useful source of reference for students, postgraduates and researchers in these areas of mathematics.

Author : Tatiana Chaplina
Publisher : Springer Nature
Page : 270 pages
File Size : 50,5 Mb
Release : 2022-01-31
Category : Science
ISBN : 9783030858513

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Processes in GeoMedia—Volume V by Tatiana Chaplina Pdf

This book corresponds to the fifth volume of the series focused on Processes in GeoMedia and their research on the dynamic of natural systems, including theoretical and experimental studies of the processes occurring in the earth's bowels, the ocean, and the atmosphere. This volume pays particular attention to geomechanical aspects of the production of hydrocarbons. This fifth volume of Processes in GeoMedia corresponds to the English edition of the journal Processes in GeoMedia, published originally in Russian.