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 scientific discipline like other scientific disciplines, where one re lies on formulas and equations, on nunlerical simulations, and on laboratory experiments. This book is not about general questions related to pattern formation and self organization in nature. It is about spontaneous patterns in just one part of nature in nonlinear optical systems, and, more precisely, in nonlinear optical resonators. Nonlinear optical systems represent a small part of nature, hut a very representative part: one can observe here nearly all the known symmetries of patterns, one can generate nearly all known types of localized strlictlires and one can realize nearly all known spatial instabilities and spatial bifurcations.

An in-depth exploration of the dynamics of lasers and other relevant optical systems for graduate students and researchers.

Overview of current developments in nonlinear photorefractive optics. The book dicusses exciting discoveries, with special emphasis on transverse effects such as spatial soliton formation and interaction, spontaneous pattern formation and pattern competition in active feedback systems. Different aspects of potential applications, such as wave guiding in adaptive photorefractive solitons and techniques for pattern control for information processing, are also described.

Spin angular momentum of photons and the associated polarization of light has been known for many years. However, it is only over the last decade or so that physically realizable laboratory light beams have been used to study the orbital angular momentum of light. In many respects, orbital and spin angular momentum behave in a similar manner, but they differ significantly in others. In particular, orbital angular momentum offers exciting new possibilities with respect to the optical manipulation of matter and to the study of the entanglement of photons. Bringing together 44 landmark papers, Optical Angular Momentum offers the first comprehensive overview of the subject as it has developed. It chronicles the first decade of this important subject and gives a definitive statement of the current status of all aspects of optical angular momentum. In each chapter the editors include a concise introduction, putting the selected papers into context and outlining the key articles associated with this aspect of the subject.

This book, which presents the peer-reviewed post-proceedings of CSNDD 2012 and CSNDD 2014, addresses the important role that relevant concepts and tools from nonlinear and complex dynamics could play in present and future engineering applications. It includes 22 chapters contributed by outstanding researchers and covering various aspects of applications, including: structural health monitoring, diagnosis and damage detection, experimental methodologies, active vibration control and smart structures, passive control of structures using nonlinear energy sinks, vibro-impact dynamic MEMS/NEMS/AFM, energy-harvesting materials and structures, and time-delayed feedback control, as well as aspects of deterministic versus stochastic dynamics and control of nonlinear phenomena in physics. Researchers and engineers interested in the challenges posed and opportunities offered by nonlinearities in the development of passive and active control strategies, energy harvesting, novel design criteria, modeling and characterization will find the book to be an outstanding introduction.

This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due to the potential applications for all-optical control of light, optical storage, and information processing. Other possible applications include the generation of ultra-short pulses using all-fiber cavities.

The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.