Linear Ray And Wave Optics In Phase Space

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Linear Ray And Wave Optics In Phase Space

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Author : Amalia Torre
language : en
Publisher: Elsevier
Release Date : 2005-11-11

Linear Ray And Wave Optics In Phase Space written by Amalia Torre and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-11 with Science categories.

Ray, wave and quantum concepts are central to diverse and seemingly incompatible models of light. Each model particularizes a specific ''manifestation'' of light, and then corresponds to adequate physical assumptions and formal approximations, whose domains of applicability are well-established. Accordingly each model comprises its own set of geometric and dynamic postulates with the pertinent mathematical means.At a basic level, the book is a complete introduction to the Wigner optics, which bridges between ray and wave optics, offering the optical phase space as the ambience and the Wigner function based technique as the mathematical machinery to accommodate between the two opposite extremes of light representation: the localized ray of geometrical optics and the unlocalized wave function of wave optics.At a parallel level, the analogies with other branches of both classical and quantum physics, like classical and quantum mechanics, quantum optics, signal theory as well as magnetic optics, are evidenced by pertinent comments and/or rigorous mathematics. So, the Lie algebra and group methods are introduced and explained through the elementary optical systems within both the ray and wave optics contexts, the former being related to the symplectic group and the latter to the metaplectic group. In a like manner, the Wigner function is introduced by following the original issue to individualize a phase space representation of quantum mechanics, which is mirrored by the issue to individualize a local frequency spectrum within the signal theory context. The basic analogy with the optics of charged particles inherently underlying the ray-optics picture in phase space is also evidenced within the wave-optics picture in the Wigner phase space.· amalgamation of a great deal of contributions having witnessed the phase space picture of optics over the past 30 years· introduces abstract concepts through concrete systems· hosts of figures and logical diagrams to favour intuition and to introduce mathematics· emphasis on the interrelations with quantum optics, signal theory and magnetic optics · feeds a feeling for genuine issues in higher mathematics and theoretical physics

Linear Ray And Wave Optics In Phase Space

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Author : Amalia Torre
language : en
Publisher: Elsevier Science
Release Date : 2006-01-03

Linear Ray And Wave Optics In Phase Space written by Amalia Torre and has been published by Elsevier Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-03 with Science categories.

Ray, wave and quantum concepts are central to diverse and seemingly incompatible models of light. Each model particularizes a specific ''manifestation'' of light, and then corresponds to adequate physical assumptions and formal approximations, whose domains of applicability are well-established. Accordingly each model comprises its own set of geometric and dynamic postulates with the pertinent mathematical means. At a basic level, the book is a complete introduction to the Wigner optics, which bridges between ray and wave optics, offering the optical phase space as the ambience and the Wigner function based technique as the mathematical machinery to accommodate between the two opposite extremes of light representation: the localized ray of geometrical optics and the unlocalized wave function of wave optics. At a parallel level, the analogies with other branches of both classical and quantum physics, like classical and quantum mechanics, quantum optics, signal theory as well as magnetic optics, are evidenced by pertinent comments and/or rigorous mathematics. So, the Lie algebra and group methods are introduced and explained through the elementary optical systems within both the ray and wave optics contexts, the former being related to the symplectic group and the latter to the metaplectic group. In a like manner, the Wigner function is introduced by following the original issue to individualize a phase space representation of quantum mechanics, which is mirrored by the issue to individualize a local frequency spectrum within the signal theory context. The basic analogy with the optics of charged particles inherently underlying the ray-optics picture in phase space is also evidenced within the wave-optics picture in the Wigner phase space. · amalgamation of a great deal of contributions having witnessed the phase space picture of optics over the past 30 years · introduces abstract concepts through concrete systems · hosts of figures and logical diagrams to favour intuition and to introduce mathematics · emphasis on the interrelations with quantum optics, signal theory and magnetic optics · feeds a feeling for genuine issues in higher mathematics and theoretical physics

Linear Canonical Transforms

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Author : John J. Healy
language : en
Publisher: Springer
Release Date : 2015-11-26

Linear Canonical Transforms written by John J. Healy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Science categories.

This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications. This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.

Matrix Methods For Optical Layout

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Author : Gerhard Kloos
language : en
Publisher: SPIE Press
Release Date : 2007

Matrix Methods For Optical Layout written by Gerhard Kloos and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This book is intended to familiarize the reader with the method of Gaussian matrices and some related tools of optical design. The matrix method provides a means to study an optical system in the paraxial approximation. This text contains new results such as theorems on the design of variable optics, on integrating rods, on the optical layout of prism devices, etc. The results are derived in a step-by-step way so that the reader might apply the methods presented here to resolve design problems with ease.

Mathematical Optics

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Author : Vasudevan Lakshminarayanan
language : en
Publisher: CRC Press
Release Date : 2018-10-08

Mathematical Optics written by Vasudevan Lakshminarayanan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.

Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.

Advances In Information Optics And Photonics

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Author : René Dändliker
language : en
Publisher: SPIE Press
Release Date : 2008

Advances In Information Optics And Photonics written by René Dändliker and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.

In this age of the photon, information optics and photonics represent the key technologies to sustain our knowledge-based society. New concepts in classical and quantum-entangled light, coherent interaction with matter, and novel materials and processes have led to remarkable advances in today's information science and technology. The ICO is closely involved with information optics, as exemplified by the ICO topical meeting on Optoinformatics / Information Photonics (St. Petersburg, Russia, 2006), the ICO/ICTP Winter College on Quantum and Classical Aspects of Information Optics (Trieste, Italy, 2006), and the many ICO Prizes recently awarded on outstanding contributions on these topics. This book is in part based on these ICO activities.

Optical And Digital Image Processing

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Author : Gabriel Cristobal
language : en
Publisher: John Wiley & Sons
Release Date : 2013-02-12

Optical And Digital Image Processing written by Gabriel Cristobal and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-12 with Technology & Engineering categories.

In recent years, Moore's law has fostered the steady growth of the field of digital image processing, though the computational complexity remains a problem for most of the digital image processing applications. In parallel, the research domain of optical image processing has matured, potentially bypassing the problems digital approaches were suffering and bringing new applications. The advancement of technology calls for applications and knowledge at the intersection of both areas but there is a clear knowledge gap between the digital signal processing and the optical processing communities. This book covers the fundamental basis of the optical and image processing techniques by integrating contributions from both optical and digital research communities to solve current application bottlenecks, and give rise to new applications and solutions. Besides focusing on joint research, it also aims at disseminating the knowledge existing in both domains. Applications covered include image restoration, medical imaging, surveillance, holography, etc... "a very good book that deserves to be on the bookshelf of a serious student or scientist working in these areas." Source: Optics and Photonics News

Radiation Characteristics Of Extreme Uv And Soft X Ray Sources

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Author : Tobias Mey
language : en
Publisher: Göttingen University Press
Release Date : 2015

Radiation Characteristics Of Extreme Uv And Soft X Ray Sources written by Tobias Mey and has been published by Göttingen University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

Electromagnetic radiation in the extreme UV and soft x-ray spectral range is of steadily increasing importance in fundamental research and industrial applications. An optimum use of the available photons can only be achieved under condition of a comprehensive beam characterization. Following that goal, this work addresses the pathway of extreme UV and soft x-ray radiation from its generation, through the beam transport by the beamline to the probe position. Experimentally, those aspects are optimized at a laser-produced plasma source and at an arrangement for the generation of high-harmonics. Additionally, the coherence of laser beams is analyzed by measurements of the Wigner distribution function. This method is applied to the photon beam of the free-electron laser FLASH, resulting in the entire characterization of its propagation properties.

Principles Of Electron Optics Volume 4

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Author : Peter W. Hawkes
language : en
Publisher: Academic Press
Release Date : 2022-05-10

Principles Of Electron Optics Volume 4 written by Peter W. Hawkes and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-10 with Technology & Engineering categories.

Principles of Electron Optics: Second Edition, Advanced Wave Optics provides a self-contained, modern account of electron optical phenomena with the Dirac or Schrödinger equation as a starting point. Knowledge of this branch of the subject is essential to understanding electron propagation in electron microscopes, electron holography and coherence. Sections in this new release include, Electron Interactions in Thin Specimens, Digital Image Processing, Acquisition, Sampling and Coding, Enhancement, Linear Restoration, Nonlinear Restoration – the Phase Problem, Three-dimensional Reconstruction, Image Analysis, Instrument Control, Vortex Beams, The Quantum Electron Microscope, and much more. - Includes authoritative coverage of many recent developments in wave electron optics - Describes the interaction of electrons with solids and the information that can be obtained from electron-beam techniques - Includes new content on multislice optics, 3D reconstruction, Wigner optics, vortex beams and the quantum electron microscope

Phase In Optics

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Author : Vlasta Pe?inov 
language : en
Publisher: World Scientific
Release Date : 1998

Phase In Optics written by Vlasta Pe?inov  and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.

The history of the quantum phase problem, characterized by renewed interest in the solution to the problem, is included and brought up to date.