Caustics, Catastrophes and Wave Fields PDF Download

Author: Yu.A. Kravtsov
Publisher: Springer Science & Business Media
ISBN: 3642598870
Category : Science
Languages : en
Pages : 229

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Book Description
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
Publisher: Springer
ISBN: 9783540565871
Category : Science
Languages : en
Pages : 210

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Book Description
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
Publisher: Springer Series on Wave Phenomena
ISBN:
Category : Mathematics
Languages : en
Pages : 236

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Book Description
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
ISBN: 3030530884
Category : Science
Languages : en
Pages : 187

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Book Description
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: Eberhard Zeidler
Publisher: Springer Science & Business Media
ISBN: 3540853774
Category : Mathematics
Languages : en
Pages : 1125

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Book Description
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: A A Fuki
Publisher: Routledge
ISBN: 1351445308
Category : Science
Languages : en
Pages : 200

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Book Description
This 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. This is an up-to-the-minute exposition of the latest developments in an important new area, written by authors of outstanding reputation. A rich source of both theoretical methods and practical applications, it covers a wide range of problems of general physical significance. 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.

Author: R. Wong
Publisher: CRC Press
ISBN: 1000111040
Category : Mathematics
Languages : en
Pages : 776

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Book Description
Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Man., sponsored by the Dept. of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.

Author: I︠U︡riĭ Aleksandrovich Kravt︠s︡ov
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842651599
Category : Science
Languages : en
Pages : 380

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Book Description
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: Alexander Karmazin
Publisher: KIT Scientific Publishing
ISBN: 3866449356
Category : Science
Languages : en
Pages : 222

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Book Description
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
ISBN: 3031165756
Category : Science
Languages : en
Pages : 680

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Book Description
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.