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One Dimensional Crystals
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Book Synopsis Mathematical Physics in One Dimension by : Elliott H. Lieb
Download or read book Mathematical Physics in One Dimension written by Elliott H. Lieb and published by Academic Press. This book was released on 2013-09-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.
Book Synopsis Advances in Photonic Crystals and Devices by : Narendra Kumar
Download or read book Advances in Photonic Crystals and Devices written by Narendra Kumar and published by CRC Press. This book was released on 2019-09-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades, there has been a phenomenal growth in the field of photonic crystal research and has emerged as an interdisciplinary area. Photonic crystals are usually nanostructured electromagnetic media consisting of periodic variation of dielectric constant, which prohibit certain electromagnetic wave frequency ranges called photonic bandgaps to propagate through them. Photonic crystals elicited numerous interesting features by unprecedented control of light and their exploitation is a promising tool in nanophotonics and designing optical components. The book ‘Advances in Photonic Crystals and Devices’ is designed with 15 chapters with introductory as well as research and application based contents. It covers the following highlighted features: Basics of photonic crystals and photonic crystal fibers Different theoretical as well as experimental approaches Current research advances from around the globe Nonlinear optics and super-continuum generation in photonic crystal fibers Magnetized cold plasma photonic crystals Liquid crystal defect embedded with graphene layers Biophysics and biomedical applications as optical sensors Two-dimensional photonic crystal demultiplexer Optical logic gates using photonic crystals A large number of references The goal of this book is to draw the background in understanding, fabrication and characterization of photonic crystals using a variety of materials and their applications in design of several optical devices. Though the book is useful as a reference for the researchers working in the area of photonics, optical computing and fabrication of nanophotonic devices, it is intended for the beginners like students pursuing their masters’ degree in photonics.
Book Synopsis One-Dimensional Metals by : Siegmar Roth
Download or read book One-Dimensional Metals written by Siegmar Roth and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Low-dimensional solids are of fundamental interest in materials science due to their anisotropic properties. Written not only for experts in the field, this book explains the important concepts behind their physics and surveys the most interesting one-dimensional systems and discusses their present and emerging applications in molecular scale electronics. The second edition of this successful book has been completely revised to include the remarkable achievements of the last ten years of research and applications. Chemists, polymer and materials scientists as well as students will find this book a very readable introduction to the solid-state physics of electronic materials.
Book Synopsis Photonic Crystals by : John D. Joannopoulos
Download or read book Photonic Crystals written by John D. Joannopoulos and published by Princeton University Press. This book was released on 2011-10-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications. Starting from Maxwell's equations and Fourier analysis, the authors develop the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory. They then investigate the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions. This new edition includes entirely new chapters describing important hybrid structures that use band gaps or periodicity only in some directions: periodic waveguides, photonic-crystal slabs, and photonic-crystal fibers. The authors demonstrate how the capabilities of photonic crystals to localize light can be put to work in devices such as filters and splitters. A new appendix provides an overview of computational methods for electromagnetism. Existing chapters have been considerably updated and expanded to include many new three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode theory, discussions of diffraction and refraction at crystal interfaces, and more. Richly illustrated and accessibly written, Photonic Crystals is an indispensable resource for students and researchers. Extensively revised and expanded Features improved graphics throughout Includes new chapters on photonic-crystal fibers and combined index-and band-gap-guiding Provides an introduction to coupled-mode theory as a powerful tool for device design Covers many new topics, including omnidirectional reflection, anomalous refraction and diffraction, computational photonics, and much more.
Download or read book Photonic Crystals written by Qihuang Gong and published by CRC Press. This book was released on 2014-02-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad overview of photonic crystals and, as the title suggests, covers their principles and applications. It is written from a physics point of view with an emphasis on materials science. Equations are well explained and often completely avoided to increase the readability of the book. The book is divided into eight chapters, starting with a brief introduction. The second chapter deals with different dimensionalities of the photonic crystals and their properties. The third chapter is very interestingly written and provides a survey of the various synthesis methods used for production of photonic crystals, including chemical routes, lithography, and self-assembly of colloidal photonic crystals. Chapters 4–8 constitute the bulk of the book and provide examples of applications of these photonic crystals. Chapter 4 offers a good explanation of optical switching. Bandgap and defect mode switching are also brought into focus along with many other mechanisms—14 different switching mechanisms in all, including thermal, electro, and magneto switching. Frequency tuning of photonic crystal filters with special attention to nanosize photonic crystals is illustrated, providing a direct perspective on applications of these materials in integrated photonic circuits. The transition from chapter 5 to 6 dealing with photonic crystal lasers is smooth, especially after a clear description of frequency tuning. Here, one- to three-dimensional photonic lasers are explained along with laser oscillations produced by a variety of microcavity methods. Metallodielectric and liquid-crystal photonic lasers are equally well illustrated. Chapter 7 introduces logic devices based on photonic crystals. This chapter clearly explains, with the help of simple illustrations, how to obtain AND, OR, and XOR logic gates. Chapter 8 concludes the book by presenting possible applications, including gas, chemical, fluid, and cell sensing; their workings are very well described from a fundamental point of view. The diagrams and illustrations are appropriate and eye catching. There are ample references; thus readers are able to find more detailed information to satisfy their curiosity if the book does not suffice. Even though the introduction provides basics of these photonic crystals, I do get the impression that the bigger picture is missing. A nonexpert may not understand the direct application of such materials right from the beginning of the book. A flowchart or a diagram of these photonic crystals, illustrating applications in daily life at the beginning of the book, could attract a broader readership. In this regard, I believe that this book is most adapted to physicists with a materials science background or vice versa. However, one should take into consideration that the principles of photonic crystals cannot be explained without physics, and therefore the quality of this book remains intact and could very well serve as a textbook for future physicists.
Book Synopsis Electronic States in Crystals of Finite Size by : Shang Yuan Ren
Download or read book Electronic States in Crystals of Finite Size written by Shang Yuan Ren and published by Springer. This book was released on 2017-08-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an analytical theory of the electronic states in ideal low dimensional systems and finite crystals based on a differential equation theory approach. It provides precise and fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals, and offers new insights into some of the basic problems in low-dimensional systems, such as the surface states and quantum confinement effects, etc., some of which are quite different from what is traditionally believed in the solid state physics community. Many previous predictions have been confirmed in subsequent investigations by other authors on various relevant problems. In this new edition, the theory is further extended to one-dimensional photonic crystals and phononic crystals, and a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals is developed. In addition, there are various revisions and improvements, including using the Kronig-Penney model to illustrate the analytical theory and make it easier to understand. This book is a valuable resource for solid-state physicists and material scientists.
Book Synopsis One-Dimensional Metals by : Siegmar Roth
Download or read book One-Dimensional Metals written by Siegmar Roth and published by John Wiley & Sons. This book was released on 2015-07-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Low-dimensional solids are of fundamental interest in materials science due to their anisotropic properties. Written not only for experts in the field, this book explains the important concepts behind their physics and surveys the most interesting one-dimensional systems and discusses their present and emerging applications in molecular scale electronics. Chemists, polymer and materials scientists as well as students will find this book a very readable introduction to the solid-state physics of electronic materials. In this completely revised and expanded third edition the authors also cover graphene as one of the most important research topics in the field of low dimensional materials for electronic applications. In addition, the topics of nanotubes and nanoribbons are widely enlarged to reflect the research advances of the last years.
Book Synopsis One-Dimensional Microwave Photonic Crystals by : D.A. Usanov
Download or read book One-Dimensional Microwave Photonic Crystals written by D.A. Usanov and published by CRC Press. This book was released on 2019-05-01 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores theoretical and experimental studies of the properties of one-dimensional photonic crystals. The authors also consider the possibilities of controlling the characteristics of microwave photonic crystals with the help of electric and magnetic fields and provide examples of new fields of application of microwave photonic crystals. They review measurements of the parameters of layered structures containing nanometer-sized semiconductor and metal layers and explore microwave-compatible loads. Written for specialists and scientists working in the fields of radiophysics, microwave solid-state electronics, and microwave photonics. Key selling features: Presents studies of theoretical and experimental properties of one-dimensional photonic crystals Analyzes microwave photonic crystals based on flat transmission lines. Explores the use of electric and magnetic fields to control crystal characteristics. Reviews applications of photonic crystals in semiconductors. Examines one-dimensional microwave photonic crystals based on rectangular wave guides.
Book Synopsis Electronic States in Crystals of Finite Size by : SHANGYUAN REN
Download or read book Electronic States in Crystals of Finite Size written by SHANGYUAN REN and published by Springer. This book was released on 2007-12-05 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of electronic states in crystals is the very basis of modern solid state physics. In traditional solid state physics – based on the Bloch theorem – the theory of electronic states in crystals is essentially a theory of electronic states in crystals of in?nite size. However, that any real crystal always has a ?nite size is a physical reality one has to face. The di?erence between the electronic structure of a real crystal of ?nite size and the electronic structure obtained based on the Bloch theorem becomes more signi?cant as the crystal size decreases. A clear understanding of the properties of electronic states in real crystals of ?nite size has both theoretical and practical signi?cance. Many years ago when the author was a student learning solid state physics at Peking University, he was bothered by a feeling that the general use of the periodic boundary conditions seemed unconvincing. At least the e?ects of such a signi?cant simpli?cation should be clearly understood. Afterward, he learned that many of his school mates had the same feeling. Among many solid state physics books, the author found that only in the classic book Dynamic Theory of Crystal Lattices by Born and Huang was there a more detailed discussion on the e?ects of such a simpli?cation in an Appendix.
Author :Harald J W Muller-kirsten Publisher :World Scientific Publishing Company ISBN 13 :9814397768 Total Pages :942 pages Book Rating :4.8/5 (143 download)
Book Synopsis Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition) by : Harald J W Muller-kirsten
Download or read book Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition) written by Harald J W Muller-kirsten and published by World Scientific Publishing Company. This book was released on 2012-07-19 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions.In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.
Book Synopsis Nonlinear Photonic Crystals by : Richart E. Slusher
Download or read book Nonlinear Photonic Crystals written by Richart E. Slusher and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Growth, Dissolution and Pattern Formation in Geosystems by : B. Jamtveit
Download or read book Growth, Dissolution and Pattern Formation in Geosystems written by B. Jamtveit and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the proceedings of the 11th Kongsberg seminar, held at the Norwegian Mining Museum in the city of Kongsberg, about 70 km Southwest of Oslo. The Kongs berg district is known for numerous Permian vein deposits, rich in native silver. Mining activity in the area lasted for more than 300 years, finally ceasing in 1957. The first eight Kongsberg seminars, organized by professor Arne Bj0rlykke, now director of the Norwegian Geological Survey, were focused on ore-forming processes. These seminars have always been a meeting point for people with a variety of geological backgrounds. Since 1995, the Kongsberg seminars have focussed on geological processes, rather than on specific geological systems, and the selection of invited speakers has been strongly influenced by their interest in the dynamics of geological systems. In 1995 and 1996, various aspects of fluid flow and transport in rocks, were emphasized. The first "Kongsberg proceedings" (of the 1995 seminar) published by Chapman and Hall (Jamtveit and Yardley, 1997) contained 17 chapters dealing with a wide range of topics from field based studies of the effects of fluid flow in sedimentary and metamorphic rocks to computer simulations of flow in complex porous and fractured media. In 1997, the focus was changed to growth, and dissolution processes in geological systems.
Book Synopsis Quasicrystals and Geometry by : Marjorie Senechal
Download or read book Quasicrystals and Geometry written by Marjorie Senechal and published by CUP Archive. This book was released on 1996-09-26 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first-ever detailed account of quasicrystal geometry will be of great value to mathematicians at all levels with an interest in quasicrystals and geometry, and will also be of interest to graduate students and researchers in solid state physics, crystallography and materials science.
Book Synopsis Introduction to Photonic and Phononic Crystals and Metamaterials by : Arthur R. McGurn
Download or read book Introduction to Photonic and Phononic Crystals and Metamaterials written by Arthur R. McGurn and published by Springer Nature. This book was released on 2022-06-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Photonic and Phononic Crystals and Metamaterials, by Arthur R. McGurn, presents a study of the fundamental properties of optical and acoustic materials which have been of recent interest in nanoscience and device technology. The level of the presentations is appropriate for advanced undergraduates, beginning graduate students, and researchers not directly involved in the field. References are given to guide the reader to more advanced study in these fields. Discussions of the physics of photonic and phononic crystals focus on the transmission properties of optical and acoustic radiation arising from their diffractive interaction in these engineered materials. The frequency transmission and non-transmission bands of radiation are explained in terms of the symmetry properties of the photonic and phononic artificial crystal structures. Basic applications of these properties to a variety of their technological applications are examined. The physics of metamaterials is discussed along with their relationships to the ideas of resonance. Properties of negative index of refraction, perfect lens, and unusual optical effects the new optics of metamaterial media makes available are examined. Related effects in acoustics are also covered. Basic principles of surface acoustic and electromagnetic waves are explained. These form an introduction to the fundamental ideas of the recently developing fields of plasmonics and surface acoustics.
Author :S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, H. Holden, and an appendix by P. Exner Publisher :American Mathematical Soc. ISBN 13 :9780821869406 Total Pages :508 pages Book Rating :4.8/5 (694 download)
Book Synopsis Solvable Models in Quantum Mechanics by : S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, H. Holden, and an appendix by P. Exner
Download or read book Solvable Models in Quantum Mechanics written by S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, H. Holden, and an appendix by P. Exner and published by American Mathematical Soc.. This book was released on with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This monograph presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. Both situations–where the strengths of the sources and their locations are precisely known and where these are only known with a given probability distribution–are covered. The authors present a systematic mathematical approach to these models and illustrate its connections with previous heuristic derivations and computations. Results obtained by different methods in disparate contexts are thus unified and a systematic control over approximations to the models, in which the point interactions are replaced by more regular ones, is provided. The first edition of this book generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrödinger equations. This second edition includes a new appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988."--Résumé de l'éditeur.
Book Synopsis Photonic Crystals by : Jean-Michel Lourtioz
Download or read book Photonic Crystals written by Jean-Michel Lourtioz and published by Springer Science & Business Media. This book was released on 2008-03-19 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the theoretical background required for modelling photonic crystals and their optical properties, while presenting the large variety of devices where photonic crystals have found application. As such, it aims at building bridges between optics, electromagnetism and solid state physics. This second edition includes the most recent developments of two-dimensional photonic crystal devices, as well as some of the last results reported on metamaterials.
Book Synopsis Structure and Properties of Liquid Crystals by : Lev M. Blinov
Download or read book Structure and Properties of Liquid Crystals written by Lev M. Blinov and published by Springer Science & Business Media. This book was released on 2010-10-26 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by Lev M. Blinov is ideal to guide researchers from their very first encounter with liquid crystals to the level where they can perform independent experiments on liquid crystals with a thorough understanding of their behaviour also in relation to the theoretical framework. Liquid crystals can be found everywhere around us. They are used in virtually every display device, whether it is for domestic appliances of for specialized technological instruments. Their finely tunable optical properties make them suitable also for thermo-sensing and laser technologies. There are many monographs written by prominent scholars on the subject of liquid crystals. The majority of them presents the subject in great depth, sometimes focusing on a particular research aspect, and in general they require a significant level of prior knowledge. In contrast, this books aims at an audience of advanced undergraduate and graduate students in physics, chemistry and materials science. The book consists of three parts: the first part, on structure, starts from the fundamental principles underlying the structure of liquid crystals, their rich phase behaviour and the methods used to study them; the second part, on physical properties, emphasizes the influence of anisotropy on all aspects of liquid crystals behaviour; the third, focuses on electro-optics, the most important properties from the applications standpoint. This part covers only the main effects and illustrates the underlying principles in greater detail. Professor Lev M. Blinov has had a long carrier as an experimentalist. He made major contributions in the field of ferroelectric mesophases. In 1985 he received the USSR state prize for investigations of electro-optical effects in liquid crystals for spatial light modulators. In 1999 he was awarded the Frederiks medal of the Soviet Liquid Crystal Society and in 2000 he was honoured with the G. Gray silver medal of the British Liquid Crystal Society. He has held many visiting academic positions in universities and laboratories across Europe and in Japan.
