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Cover: 9780387308906 | Wave Propagation and Time Reversal in Randomly Layered Media | Buch
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Wave Propagation and Time Reversal in Randomly Layered Media
Buch von Jean-Pierre Fouque (u. a.)
Sprache: Englisch

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Beschreibung
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].
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].
Zusammenfassung

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. 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. The book is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. It can also be used as support for various advanced topics courses where random media and related homogenization and diffusion approximation results are involved.

Inhaltsverzeichnis
and Overview of the Book.- Waves in Homogeneous Media.- Waves in Layered Media.- Effective Properties of Randomly Layered Media.- Scaling Limits.- Asymptotics for Random Ordinary Differential Equations.- Transmission of Energy Through a Slab of Random Medium.- Wave-Front Propagation.- Statistics of Incoherent Waves.- Time Reversal in Reflection and Spectral Estimation.- Applications to Detection.- Time Reversal in Transmission.- Application to Communications.- Scattering by a Three-Dimensional Randomly Layered Medium.- Time Reversal in a Three-Dimensional Layered Medium.- Application to Echo-Mode Time Reversal.- Other Layered Media.- Other Regimes of Propagation.- The Random Schrödinger Model.- Propagation in Random Waveguides.
Details
Erscheinungsjahr: 2007
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Stochastic Modelling and Applied Probability
Inhalt: xx
612 S.
62 s/w Zeichng.
ISBN-13: 9780387308906
ISBN-10: 0387308903
Sprache: Englisch
Herstellernummer: 11548911
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Fouque, Jean-Pierre
Solna, Knut
Papanicolaou, G.
Garnier, Josselin
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Stochastic Modelling and Applied Probability
Maße: 241 x 160 x 39 mm
Von/Mit: Jean-Pierre Fouque (u. a.)
Erscheinungsdatum: 16.07.2007
Gewicht: 1,109 kg
Artikel-ID: 102236470
Zusammenfassung

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. 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. The book is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. It can also be used as support for various advanced topics courses where random media and related homogenization and diffusion approximation results are involved.

Inhaltsverzeichnis
and Overview of the Book.- Waves in Homogeneous Media.- Waves in Layered Media.- Effective Properties of Randomly Layered Media.- Scaling Limits.- Asymptotics for Random Ordinary Differential Equations.- Transmission of Energy Through a Slab of Random Medium.- Wave-Front Propagation.- Statistics of Incoherent Waves.- Time Reversal in Reflection and Spectral Estimation.- Applications to Detection.- Time Reversal in Transmission.- Application to Communications.- Scattering by a Three-Dimensional Randomly Layered Medium.- Time Reversal in a Three-Dimensional Layered Medium.- Application to Echo-Mode Time Reversal.- Other Layered Media.- Other Regimes of Propagation.- The Random Schrödinger Model.- Propagation in Random Waveguides.
Details
Erscheinungsjahr: 2007
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Stochastic Modelling and Applied Probability
Inhalt: xx
612 S.
62 s/w Zeichng.
ISBN-13: 9780387308906
ISBN-10: 0387308903
Sprache: Englisch
Herstellernummer: 11548911
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Fouque, Jean-Pierre
Solna, Knut
Papanicolaou, G.
Garnier, Josselin
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Stochastic Modelling and Applied Probability
Maße: 241 x 160 x 39 mm
Von/Mit: Jean-Pierre Fouque (u. a.)
Erscheinungsdatum: 16.07.2007
Gewicht: 1,109 kg
Artikel-ID: 102236470
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