Nonlinear Photonic Crystals

Nonlinear Photonic Crystals
Author: Richart E. Slusher
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2013-06-29
Genre: Science
ISBN: 3662051443

Nonlinear optical studies of periodic dielectric structures have blossomed in the past two decades. New fabrication techniques are producing fiber grating and multidimensional photonic crystals in materials where the refractive index can be varied by light pulses and beams. Gap solitons that can propagate at any velocity from zero to the speed of light and spatial solitons that prevent the diffractive spread of light in waveguide arrays are two examples of the new phenomena described in this book. Many new materials and structures are being developed that will impact new optical devices with applications in optical communications and optical data processing. All the above topics are addressed in detail in this book.

Spatial Solitons

Spatial Solitons
Author: Stefano Trillo
Publisher: Springer
Total Pages: 468
Release: 2013-06-05
Genre: Science
ISBN: 354044582X

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.

Acoustic Metamaterials and Phononic Crystals

Acoustic Metamaterials and Phononic Crystals
Author: Pierre A. Deymier
Publisher: Springer Science & Business Media
Total Pages: 388
Release: 2013-01-13
Genre: Technology & Engineering
ISBN: 3642312322

This comprehensive book presents all aspects of acoustic metamaterials and phononic crystals. The emphasis is on acoustic wave propagation phenomena at interfaces such as refraction, especially unusual refractive properties and negative refraction. A thorough discussion of the mechanisms leading to such refractive phenomena includes local resonances in metamaterials and scattering in phononic crystals.

IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics

IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics
Author: Francis C. Moon
Publisher: Springer Science & Business Media
Total Pages: 559
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9401153205

This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.

Nonlinear Analysis of Structures (1997)

Nonlinear Analysis of Structures (1997)
Author: Muthukrishnan Sathyamoorthy
Publisher: CRC Press
Total Pages: 548
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351359819

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.

Normal Modes and Localization in Nonlinear Systems

Normal Modes and Localization in Nonlinear Systems
Author: Alexander F. Vakakis
Publisher: John Wiley & Sons
Total Pages: 552
Release: 2008-07-11
Genre: Science
ISBN: 3527617876

This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.

Dynamics of Lattice Materials

Dynamics of Lattice Materials
Author: A. Srikantha Phani
Publisher: John Wiley & Sons
Total Pages: 312
Release: 2017-09-25
Genre: Technology & Engineering
ISBN: 1118729595

Provides a comprehensive introduction to the dynamic response of lattice materials, covering the fundamental theory and applications in engineering practice Offers comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials Provides an in depth introduction to elastostatics and elastodynamics of lattice materials Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems Introduces contemporary concepts including pentamodes, local resonance and inertial amplification Includes chapters on fast computation and design optimization tools Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Author:
Publisher:
Total Pages: 602
Release: 1995
Genre: Aeronautics
ISBN:

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Wave Propagation in Linear and Nonlinear Periodic Media

Wave Propagation in Linear and Nonlinear Periodic Media
Author: Francesco Romeo
Publisher: Springer Science & Business Media
Total Pages: 332
Release: 2013-07-30
Genre: Technology & Engineering
ISBN: 3709113091

Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media.​ The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media in a consistent format. They combine the material issued from a variety of engineering applications, spanning a wide range of length scale, characterized by structures and materials, both man-made and naturally occurring, featuring geometry, micro-structural and/or materials properties that vary periodically in space, including periodically stiffened plates, shells and beam-like as well as bladed disc assemblies, phononic metamaterials, photonic crystals and ordered granular media. Along with linear models and applications, analytical methodologies for analyzing and exploiting complex dynamical phenomena arising in nonlinear periodic systems are also presented.​