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Author: SIMON
Publisher: IOP Publishing Limited
ISBN: 9780750334693
Category : Physical optics
Languages : en
Pages : 170
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Book Description
Topology is the study of properties that remain unchanged under bending, twisting, and stretching of a system. Long important in other areas of physics, topology has recently become a vital tool in optics and photonics as well, leading to a broad range of unexpected phenomena such as knotted and linked optical vortices and topologically protected states that are immune to environmental disruption. Topology in Optics: Tying Light in Knots (Second Edition) covers the background needed to follow these developments and provides a brief survey of topological effects in optics. Assuming only a background in physics at the advanced undergraduate level, it requires no prior familiarity with topology. Revised and expanded with two new chapters. Topological Photonics and Optical Knots and Links, this will be an invaluable reference for undergraduate and graduate students as well as researchers and engineers in optics and related areas. Book jacket.
Author: SIMON
Publisher: IOP Publishing Limited
ISBN: 9780750334693
Category : Physical optics
Languages : en
Pages : 170
Get Book Here
Book Description
Topology is the study of properties that remain unchanged under bending, twisting, and stretching of a system. Long important in other areas of physics, topology has recently become a vital tool in optics and photonics as well, leading to a broad range of unexpected phenomena such as knotted and linked optical vortices and topologically protected states that are immune to environmental disruption. Topology in Optics: Tying Light in Knots (Second Edition) covers the background needed to follow these developments and provides a brief survey of topological effects in optics. Assuming only a background in physics at the advanced undergraduate level, it requires no prior familiarity with topology. Revised and expanded with two new chapters. Topological Photonics and Optical Knots and Links, this will be an invaluable reference for undergraduate and graduate students as well as researchers and engineers in optics and related areas. Book jacket.
Author: Yongbo Deng
Publisher: Springer Nature
ISBN: 981167969X
Category : Technology & Engineering
Languages : en
Pages : 168
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Book Description
The book focuses on the topology optimization method for nano-optics. Both principles and implementing practice have been addressed, with more weight placed on applications. This is achieved by providing an in-depth study on the major topic of topology optimization of dielectric and metal structures for nano-optics with extension to the surface structures for electromagnetics. The comprehensive and systematic treatment of practical issues in topology optimization for nano-optics is one of the major features of the book, which is particularly suited for readers who are interested to learn practical solutions in topology optimization. The book can benefit researchers, engineers, and graduate students in the fields of structural optimization, nano-optics, wave optics, electromagnetics, etc.
Author: David S. Simon
Publisher:
ISBN: 9780750334716
Category : Geometrical optics
Languages : en
Pages : 0
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Book Description
Topology in Optics: Tying light in knots (Second Edition) provides the background needed to understand a broad range of unexpected phenomenon and developments arising from topological effects in optics. Assuming only a background in physics at the advanced undergraduate level, it requires no prior familiarity with topology. Revised and expanded with two new chapters, Topological Photonics and Optical Knots and Links, this will be an invaluable reference for undergraduate and graduate students as well as researchers and engineers in optics and related areas.
Author: David S Simon
Publisher: Morgan & Claypool Publishers
ISBN: 1643272349
Category : Science
Languages : en
Pages : 130
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Book Description
Topology is the study of properties of geometrical objects that remain invariant as the object is bent, twisted, or otherwise continuously deformed. It has been an indispensable tool in particle physics and solid state physics for decades, but in recent years it has become increasingly relevant in classical and quantum optics as well. It makes appearances through such diverse phenomena as Pancharatnam-Berry phases, optical vortices and solitons, and optical simulations of solid-state topological phenomena. This book concisely provides the necessary mathematical background needed to understand these developments and to give a rapid survey of some of the optical applications where topological issues arise.
Author: Yongbo Deng
Publisher: Springer
ISBN: 9789811679711
Category : Technology & Engineering
Languages : en
Pages : 0
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Book Description
The book focuses on the topology optimization method for nano-optics. Both principles and implementing practice have been addressed, with more weight placed on applications. This is achieved by providing an in-depth study on the major topic of topology optimization of dielectric and metal structures for nano-optics with extension to the surface structures for electromagnetics. The comprehensive and systematic treatment of practical issues in topology optimization for nano-optics is one of the major features of the book, which is particularly suited for readers who are interested to learn practical solutions in topology optimization. The book can benefit researchers, engineers, and graduate students in the fields of structural optimization, nano-optics, wave optics, electromagnetics, etc.
Author: SIMON
Publisher:
ISBN: 9780750334723
Category :
Languages : en
Pages :
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Book Description
Author: James F. Peters
Publisher: Springer Nature
ISBN: 303022192X
Category : Technology & Engineering
Languages : en
Pages : 440
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Book Description
This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.
Author: Antonio Sergio Teixeira Pires
Publisher: Morgan & Claypool Publishers
ISBN: 1643273744
Category : Science
Languages : en
Pages : 171
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Book Description
In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.
Author: Arkady Leonidovich Kholodenko
Publisher: World Scientific
ISBN: 9814412090
Category : Mathematics
Languages : en
Pages : 492
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Book Description
Although contact geometry and topology is briefly discussed in V I Arnol''d''s book Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges An Introduction to Contact Topology (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph Contact Geometry and Nonlinear Differential Equations (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau-Lifshitz (L-L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L-L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L-L course some problems/exercises are formulated along the way and, again as in the L-L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L-L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.
Author: M.O. van Deventer
Publisher: Springer Science & Business Media
ISBN: 9400915799
Category : Technology & Engineering
Languages : en
Pages : 381
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Book Description
Bidirectional transmission over optical fibre networks may yield a large cost reduction because of the reduction of the network infrastructure by a factor two and the potential cost reduction by an integrated transceiver design. It may also provide a cost-effective way to upgrade distribution networks by adding bidirectional channels. This book is the first to provide a comprehensive overview of bidirectional transmission in optical networks. It handles physical aspects: the behaviour of the fibre itself in bidirectional transmission transmission aspects: the behaviour and design of bidirectional systems and network aspects: the influence of bidirectional transmission on network design. £/LIST£ Practical guidelines are also given for bidirectional system design. Audience:This book is aimed at designers, builders and operators of optical networks, e.g. the manufacturers of optical transmission systems, public-network operators, developers of local-area networks, cable-television operators, etcetera. The intended level of readership is graduate level in physics or electrical engineering.
