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Transverse Patterns in Nonlinear Optical Resonators
  • Language: en
  • Pages: 234

Transverse Patterns in Nonlinear Optical Resonators

The growth of regularity from disorder, the evolution from the simple towards the complex, and the spontaneous formation of spatio temporal patterns in general are questions which intrigue everybody. This has been one of the hasic philosophical topics from ancient to modern times. Is nature able to create something fundamentally new by itself? If yes, how does this creation occurs? Or does nature only reproduce something which was already encoded in it, from the very beginning? This remained a topic exclusively for philoso phers until very recently, and it was only a few decades a. go that physicists started to convert this seemingly purely philosophical subject into a scientific discipline:...

A Dynamical Perspective on the ɸ4 Model
  • Language: en
  • Pages: 311

A Dynamical Perspective on the ɸ4 Model

  • Type: Book
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  • Published: 2019-02-26
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  • Publisher: Springer

This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.

Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media
  • Language: en
  • Pages: 456

Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media

This book delivers a comprehensive and up-to-date treatment of practical applications of metamaterials, structured media, and conventional porous materials. With increasing levels of urbanization, a growing demand for motorized transport, and inefficient urban planning, environmental noise exposure is rapidly becoming a pressing societal and health concern. Phononic and sonic crystals, acoustic metamaterials, and metasurfaces can revolutionize noise and vibration control and, in many cases, replace traditional porous materials for these applications. In this collection of contributed chapters, a group of international researchers reviews the essentials of acoustic wave propagation in metamat...

Spatial Solitons
  • Language: en
  • Pages: 468

Spatial Solitons

  • Type: Book
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  • Published: 2013-06-05
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  • Publisher: Springer

Solitary wave physics plays a significant role from modern optical physics to optical communication, optical switching and optical storage. This book gives an updated overview of optical solitons, as a reference and guide for advanced students and scientists working in the field.

Quodons in Mica
  • Language: en
  • Pages: 572

Quodons in Mica

  • Type: Book
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  • Published: 2015-07-31
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  • Publisher: Springer

This book presents the current knowledge about nonlinear localized travelling excitations in crystals. Excitations can be vibrational, electronic, magnetic or of many other types, in many different types of crystals, as silicates, semiconductors and metals. The book is dedicated to the British scientist FM Russell, recently turned 80. He found 50 years ago that a mineral mica muscovite was able to record elementary charged particles and much later that also some kind of localized excitations, he called them quodons, was also recorded. The tracks, therefore, provide a striking experimental evidence of quodons existence. The first chapter by him presents the state of knowledge in this topic. It is followed by about 18 chapters from world leaders in the field, reviewing different aspects, materials and methods including experiments, molecular dynamics and theory and also presenting the latest results. The last part includes a personal narration of FM Russell of the deciphering of the marks in mica. It provides a unique way to present the science in an accessible way and also illustrates the process of discovery in a scientist's mind.

Dissipative Solitons
  • Language: en
  • Pages: 472

Dissipative Solitons

This volume is devoted to the exciting topic of dissipative solitons, i.e. pulses or spatially localised waves in systems exhibiting gain and loss. Examples are laser systems, nonlinear resonators and optical transmission lines. The physical principles and mathematical concepts are explained in a clear and concise way, suitable for students and young researchers. The similarities and differences in the notion of a soliton between dissipative systems and Hamiltonian and integrable systems are discussed, and many examples are given. The contributions are written by the world's leading experts in the field, making it a unique exposition of this emerging topic.

The Propagation of Low Frequency Sound Through an Audience
  • Language: en
  • Pages: 82

The Propagation of Low Frequency Sound Through an Audience

At large outdoor concerts or festivals subwoofers, the dedicated low frequency loudspeakers, are often placed in a row in front of the stage as an evenly spaced array in order to control the directivity of sound at low frequencies. The audience itself often stands tightly packed in front of the array, so that sound waves propagate partly through the audience and partly over it. This thesis presents an investigation on how exactly the presence of the audience influences the propagation of sound. A mathematical model of an audience as an equivalent fluid is constructed with the help of the porous medium theory. The equivalent fluid parameters, such as the wave impedance, the speed of sound and...

Parallel Processing and Applied Mathematics, Part I
  • Language: en
  • Pages: 652

Parallel Processing and Applied Mathematics, Part I

  • Type: Book
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  • Published: 2010-07-07
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  • Publisher: Springer

Annotation This book constitutes the proceedings of the 8th International Conference on Parallel Processing and Applied Mathematics, PPAM 2009, held in Wroclaw, Poland, in September 2009.

Nonlinear Systems, Vol. 2
  • Language: en
  • Pages: 340

Nonlinear Systems, Vol. 2

  • Type: Book
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  • Published: 2017-12-21
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  • Publisher: Springer

This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many new developments. While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science, this second volume deals with nonlinear excitations in several fields. These excitations can be localized and transport energy and matter in the form of breathers, solitons, kinks or quodons with very different characteristics, which are discussed in the book. They can also transport electric charge, in which case they are known as polarobreathers or...

Physical Review
  • Language: en
  • Pages: 1476

Physical Review

  • Type: Book
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  • Published: 2000-02
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  • Publisher: Unknown

Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.