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Wave Propagation And Time Reversal In Randomly Layered Media


Wave Propagation And Time Reversal In Randomly Layered Media
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Wave Propagation And Time Reversal In Randomly Layered Media


Wave Propagation And Time Reversal In Randomly Layered Media
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Author : Jean-Pierre Fouque
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-30

Wave Propagation And Time Reversal In Randomly Layered Media written by Jean-Pierre Fouque and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-30 with Science categories.


Our motivation for writing this book is twofold: First, the theory of waves propagating in randomly layered media has been studied extensively during the last thirty years but the results are scattered in many di?erent papers. This theory is now in a mature state, especially in the very interesting regime of separation of scales as introduced by G. Papanicolaou and his coauthors and described in [8], which is a building block for this book. Second, we were motivatedbythe time-reversalexperimentsofM. Finkandhis groupinParis. They were done with ultrasonic waves and have attracted considerable att- tion because of the surprising e?ects of enhanced spatial focusing and time compression in random media. An exposition of this work and its appli- tions is presented in [56]. Time reversal experiments were also carried out with sonar arrays in shallow water by W. Kuperman [113] and his group in San Diego. The enhanced spatial focusing and time compression of signals in time reversal in randommedia have many diverse applications in detection and in focused energy delivery on small targets as, for example, in the - struction of kidney stones. Enhanced spatial focusing is also useful in sonar and wireless communications for reducing interference. Time reversal ideas have played an important role in the development of new methods for array imaging in random media as presented in [19].



Mathematical And Statistical Methods For Imaging


Mathematical And Statistical Methods For Imaging
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Author : Habib Ammari
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-07-20

Mathematical And Statistical Methods For Imaging written by Habib Ammari and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-20 with Mathematics categories.


This volume contains the proceedings of the NIMS Thematic Workshop on Mathematical and Statistical Methods for Imaging, which was held from August 10-13, 2010, at Inha University, Incheon, Korea. The goal of this volume is to give the reader a deep and unified understanding of the field of imaging and of the analytical and statistical tools used in imaging. It offers a good overview of the current status of the field and of directions for further research. Challenging problems are addressed from analytical, numerical, and statistical perspectives. The articles are devoted to four main areas: analytical investigation of robustness; hypothesis testing and resolution analysis, particularly for anomaly detection; new efficient imaging techniques; and the effects of anisotropy, dissipation, or attenuation in imaging.



Nonlinear Water Waves


Nonlinear Water Waves
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Author : David Henry
language : en
Publisher: Springer Nature
Release Date : 2019-11-27

Nonlinear Water Waves written by David Henry and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Mathematics categories.


The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.



Wave Propagation And Time Reversal In Randomly Layered Media


Wave Propagation And Time Reversal In Randomly Layered Media
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Author : Jean-Pierre Fouque
language : en
Publisher: Springer
Release Date : 2008-11-01

Wave Propagation And Time Reversal In Randomly Layered Media written by Jean-Pierre Fouque and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Science categories.


The content of this book is multidisciplinary by nature. It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics of wave propagation and modeling of time reversal experiments. It is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. At the end of each chapter there is a section of notes where the authors give references and additional comments on the various results presented in the chapter.



Lectures On The Theory Of Water Waves


Lectures On The Theory Of Water Waves
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Author : Thomas J. Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-04

Lectures On The Theory Of Water Waves written by Thomas J. Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Mathematics categories.


A range of experts contribute introductory-level lectures on active topics in the theory of water waves.



Photonic Bandgap Structures Novel Technological Platforms For Physical Chemical And Biological Sensing


Photonic Bandgap Structures Novel Technological Platforms For Physical Chemical And Biological Sensing
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Author : Marco Pisco
language : en
Publisher: Bentham Science Publishers
Release Date : 2012-07-27

Photonic Bandgap Structures Novel Technological Platforms For Physical Chemical And Biological Sensing written by Marco Pisco and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Technology & Engineering categories.


This E-Book covers the research and the development of a novel generation of photonic devices for sensing applications. The E-Book starts with a brief review of basic photonic crystal (PhC) structure related concepts and describes the numerical and technological tools useful in the design and fabrication of devices based on PhCs. Next, the E-Book provides a selection of crossover topics emerging in the scientific community as breaking through researches, technologies and sciences for the development of novel technological platforms for physical, chemical and biological sensing. The E-Book ends with a description of the main PhC sensors to date by representing many of the exciting sensing applications that utilize photonic crystal structures.



Passive Imaging With Ambient Noise


Passive Imaging With Ambient Noise
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Author : Josselin Garnier
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-21

Passive Imaging With Ambient Noise written by Josselin Garnier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-21 with Computers categories.


This multidisciplinary book provides a systematic introduction to the analysis of passive sensor array imaging using ambient noise sources.



Random Matrix Theory Interacting Particle Systems And Integrable Systems


Random Matrix Theory Interacting Particle Systems And Integrable Systems
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Author : Percy Deift
language : en
Publisher: Cambridge University Press
Release Date : 2014-12-15

Random Matrix Theory Interacting Particle Systems And Integrable Systems written by Percy Deift and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Language Arts & Disciplines categories.


This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.



S Minaire De Probabilit S Xliv


S Minaire De Probabilit S Xliv
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Author : Catherine Donati-Martin
language : en
Publisher: Springer
Release Date : 2012-05-12

S Minaire De Probabilit S Xliv written by Catherine Donati-Martin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-12 with Mathematics categories.


As usual, some of the contributions to this 44th Séminaire de Probabilités were presented during the Journées de Probabilités held in Dijon in June 2010. The remainder were spontaneous submissions or were solicited by the editors. The traditional and historical themes of the Séminaire are covered, such as stochastic calculus, local times and excursions, and martingales. Some subjects already touched on in the previous volumes are still here: free probability, rough paths, limit theorems for general processes (here fractional Brownian motion and polymers), and large deviations. Lastly, this volume explores new topics, including variable length Markov chains and peacocks. We hope that the whole volume is a good sample of the main streams of current research on probability and stochastic processes, in particular those active in France.



Transionospheric Synthetic Aperture Imaging


Transionospheric Synthetic Aperture Imaging
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Author : Mikhail Gilman
language : en
Publisher: Birkhäuser
Release Date : 2017-04-13

Transionospheric Synthetic Aperture Imaging written by Mikhail Gilman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-13 with Mathematics categories.


This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation. As a prerequisite to addressing these topics, the book also discusses the radar ambiguity theory as it applies to synthetic aperture imaging and the propagation of radio waves through the ionospheric plasma, including the anisotropic and turbulent cases. In addition, it covers a host of related subjects, such as the mathematical modeling of extended radar targets (as opposed to point-wise targets) and the scattering of radio waves off those targets, as well as the theoretical analysis of the start-stop approximation, which is used routinely in SAR signal processing but often without proper justification. The mathematics in this volume is clean and rigorous – no assumptions are hidden or ambiguously stated. The resulting work is truly interdisciplinary, providing both a comprehensive and thorough exposition of the field, as well as an accurate account of a range of relevant physical processes and phenomena. The book is intended for applied mathematicians interested in the area of radar imaging or, more generally, remote sensing, as well as physicists and electrical/electronic engineers who develop/operate spaceborne SAR sensors and perform the data processing. The methods in the book are also useful for researchers and practitioners working on other types of imaging. Moreover, the book is accessible to graduate students in applied mathematics, physics, engineering, and related disciplines. Praise for Transionospheric Synthetic Aperture Imaging: “I perceive that this text will mark a turning point in the field of synthetic aperture radar research and practice. I believe this text will instigate a new era of more rigorous image formation relieving the research, development and practitioner communities of inconsistent physical assumptions and numerical approaches.” – Richard Albanese, Senior Scientist, Albanese Defense and Energy Development LLC