Phase In Optics

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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.

Geometric Optics On Phase Space

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Author : Kurt Bernardo Wolf
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-21

Geometric Optics On Phase Space written by Kurt Bernardo Wolf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-21 with Science categories.

Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. The reader will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics. The appendices link the geometry thus introduced to wave optics through Lie methods. The book addresses researchers and graduate students.

Phase Space Optics Fundamentals And Applications

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Author : Markus Testorf
language : en
Publisher: McGraw Hill Professional
Release Date : 2009-09-07

Phase Space Optics Fundamentals And Applications written by Markus Testorf and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-07 with Technology & Engineering categories.

A comprehensive cross section of phase-space optics This definitive volume highlights an elegant, unified approach to optical rays, waves, and system design using cutting-edge phase-space techniques. Phase-Space Optics: Fundamentals and Applications details theoretical concepts of phase space as well as novel engineering applications in specific disciplines. This authoritative guide includes full coverage of sampling, superresolution imaging, and the phase-space interpretation of ultrafast optics. Work with Wigner optics, analyze phase-space equations, develop wave propagation models, and gain a new understanding of optical sources and systems. Discover how to: Describe optical phenomena using Wigner and ambiguity functions Perform phase-space rotations using ray transformation matrices Influence the trade-off between pupil size and depth of field Analyze and design optical signals using the Radon-Wigner transform Accomplish superresolution by squeezing phase space Interpret the intimate relationship between radiometry and coherence Use basic algebra to discover self-imaging, Fresnel diffraction, and the Talbot effect Develop discrete models, sampling criteria, and interpolation formulae Work with ultrafast processes and complex space-time structures

Principles Of Phase Conjugation

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Author : B.Y. Zel'Dovich
language : en
Publisher: Springer
Release Date : 2013-06-29

Principles Of Phase Conjugation written by B.Y. Zel'Dovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.

This book has been prompted by our des ire to share with others our apprecia tion of the harmony and beauty in a particular sphere of modern optics known as "optical phase conjugation". Practical applications of the phase conjugated wave are likely to be far-reaching. Optical phase conjugation (OPC) combines in itself aesthetic and pragmatic attractiveness, a synthesis that has made OPC a subject of general attention. The figure presents the ap proximate rate of publications (number of articles per year) on OPC in the world literature for recent years, the lower curve denoting the work carried out in the USSR. The efforts of a large unofficial international collective have yielded an impressive result. 150 100 50 1975 1980 At present, the physical pro ces ses underlying various OPC methods are quite understandable, and it is the physics of OPC to which our book is devoted. Practical and scientific applications of phase-conjugated waves, which are of no less interest, have been touched upon in short, as major achievements in this sphere are a matter of the future. Today there are two main methods of OPC: i) by backward stimulated light scattering, ii) by four-wave mixing. Naturally, much attention is given to these methods in our book which, after the introductory Chap. 1, can be divided into two almost independent parts - Chaps. 2 - 5, and Chaps. 6 - 8.

Linear Ray And Wave Optics In Phase Space

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Author : Amalia Torre
language : en
Publisher: Elsevier
Release Date : 2020-06-01

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 2020-06-01 with Science categories.

Linear Ray and Wave Optics in Phase Space, Second Edition, is a comprehensive introduction to Wigner optics. The book connects 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. Analogies with other branches of classical and quantum physics—such as classical and quantum mechanics, quantum optics, signal theory and magnetic optics—are evidenced by pertinent comments and/or rigorous mathematics. Lie algebra and group methods are introduced and explained through the elementary optical systems within the ray and wave optics contexts, the former being related to the symplectic group and the latter to the metaplectic group. In a similar 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. This second edition contains 150 pages of new material on Wigner distribution functions, ambiguity functions for partially coherent beams, and phase-space picture and fast optics. All chapters are fully revised and updated. All topics have been developed to a deeper level than in the previous edition and are now supported with Mathematica and Mathcad codes. Provides powerful tools to solve problems in quantum mechanics, quantum optics and signal theory Includes numerous examples supporting a gradual and comprehensive introduction to Wigner optics Treats both ray and wave optics, resorting to Lie-algebra based methods Connects the subject with other fields, such as quantum optics, quantum mechanics, signal theory and optics of charged particles Introduces abstract concepts through concrete examples Includes logical diagrams to introduce mathematics in an intuitive way Contains 150 pages of new material on Wigner distribution functions, ambiguity functions for partially coherent beams, and phase-space picture and fast optics Supported with Mathematica and Mathcad codes

Field Guide To Microscopy

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Author : Tomasz S. Tkaczyk
language : en
Publisher: SPIE-International Society for Optical Engineering
Release Date : 2010

Field Guide To Microscopy written by Tomasz S. Tkaczyk and has been published by SPIE-International Society for Optical Engineering this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.

This guide provides extensive coverage of microscopic imaging principles. After reviewing the main principles of image formation, diffraction, interference, and polarization used in microscopy, this guide describes the most widely applied microscope configurations and applications. It also covers major system components, including light sources, illumination layouts, microscope optics, and image detection electronics. This guide also provides a comprehensive overview of microscopy techniques, including bright field and dark field imaging, contrast enhancement methods (such as phase and amplitude contrast), DIC, polarization, and fluorescence microscopy. In addition, it describes scanning techniques (such as confocal and multiphoton imaging points); new trends in super-resolution methods (such as 4Pi microscopy, STED, STORM, and structured illumination); and array microscopy, CARS, and SPIM.

Geometric Phases In Physics

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Author : Frank Wilczek
language : en
Publisher: World Scientific
Release Date : 1989

Geometric Phases In Physics written by Frank Wilczek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.

During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ?Berry's phase?) in addition to the usual dynamical phase derived from Schr”dinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject.

Phase Locked Loops For Wireless Communications

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Author : Donald R. Stephens
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

Phase Locked Loops For Wireless Communications written by Donald R. Stephens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.

A tutorial of phase-locked loops from analogue implementations to digital and optical designs. This text establishes a foundation of continuous-time analysis techniques and maintains a consistent notation as discrete-time and non-uniform sampling are presented. It examines charge pumps and the complementary sequential phase detector. Frequency synthesizers and digital divider analysis/techniques are also included in this edition.; Starting with a historical overview, presenting analogue, digital, and optical PLLs, discussing phase noise analysis, and including circuits/algorithms for data synchronization, this volume illustrates the techniques being used in this field.; The subjects covered include: development of phase-locked loops from analogue to digital and optical, with notation throughout; expanded coverage of the loop filters used to design second- and third-order PLLs; design examples on delay-locked loops used to synchronize circuits on CPUs and ASICS; new material on digital dividers that dominate a frequency synthesizer's noise floor; techniques to analytically estimate the phase noise of a divider; presentation of optical phase-locked loops with primers on the optical components and fundamentals of optical mixing; a section on automatic frequency control to provide frequency-locking of the lasers instead of phase-locking; and a presentation of charge pumps, counters, and delay-locked loops.; This volume includes the topics that should be of interest to wireless, optics, and the traditional phase-locked loop specialist to design circuits and software algorithms.

Spatial Solitons

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Author : Stefano Trillo
language : en
Publisher: Springer
Release Date : 2013-06-05

Spatial Solitons written by Stefano Trillo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Science categories.

Soliton-based concepts open the road for newly designed laser sources, new frequency converters and high-intensity laser-material interactions. Optical solitons as stable spatial patterns of complex nonlinear systems allow for the control of the diffraction of optical beams. Solitons also prevent unwanted chaotic behavior. Thus, solitary wave physics plays a significant role from modern optical physics to optical communication, optical switching, and optical storage. The book gives an updated overview of optical solitons and can serve as a reference and guide for advanced students and scientists working in the field and related areas of science where solitons are observed.