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Phase-Space Optics: Fundamentals and Applications

Phase-Space Optics: Fundamentals and Applications
Author: Markus Testorf
Publisher: McGraw Hill Professional
Total Pages: 412
Release: 2009-09-07
Genre: Technology & Engineering
ISBN: 0071597999

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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


Quantum Optics in Phase Space

Quantum Optics in Phase Space
Author: Wolfgang P. Schleich
Publisher: John Wiley & Sons
Total Pages: 723
Release: 2015-12-11
Genre: Science
ISBN: 352780255X

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Quantum Optics in Phase Space provides a concise introduction to the rapidly moving field of quantum optics from the point of view of phase space. Modern in style and didactically skillful, Quantum Optics in Phase Space prepares students for their own research by presenting detailed derivations, many illustrations and a large set of workable problems at the end of each chapter. Often, the theoretical treatments are accompanied by the corresponding experiments. An exhaustive list of references provides a guide to the literature. Quantum Optics in Phase Space also serves advanced researchers as a comprehensive reference book. Starting with an extensive review of the experiments that define quantum optics and a brief summary of the foundations of quantum mechanics the author Wolfgang P. Schleich illustrates the properties of quantum states with the help of the Wigner phase space distribution function. His description of waves ala WKB connects semi-classical phase space with the Berry phase. These semi-classical techniques provide deeper insight into the timely topics of wave packet dynamics, fractional revivals and the Talbot effect. Whereas the first half of the book deals with mechanical oscillators such as ions in a trap or atoms in a standing wave the second half addresses problems where the quantization of the radiation field is of importance. Such topics extensively discussed include optical interferometry, the atom-field interaction, quantum state preparation and measurement, entanglement, decoherence, the one-atom maser and atom optics in quantized light fields. Quantum Optics in Phase Space presents the subject of quantum optics as transparently as possible. Giving wide-ranging references, it enables students to study and solve problems with modern scientific literature. The result is a remarkably concise yet comprehensive and accessible text- and reference book - an inspiring source of information and insight for students, teachers and researchers alike.


Geometric Optics on Phase Space

Geometric Optics on Phase Space
Author: Kurt Bernardo Wolf
Publisher: Springer Science & Business Media
Total Pages: 400
Release: 2004-07-21
Genre: Science
ISBN: 9783540220398

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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

Phase-space Optics
Author:
Publisher:
Total Pages: 393
Release: 2010
Genre: Light
ISBN: 9780071738088

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Phase Space Picture Of Quantum Mechanics: Group Theoretical Approach

Phase Space Picture Of Quantum Mechanics: Group Theoretical Approach
Author: Young Suh Kim
Publisher: World Scientific
Total Pages: 352
Release: 1991-03-06
Genre: Science
ISBN: 9814506672

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This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.


Quantum Optics in Phase Space

Quantum Optics in Phase Space
Author: Wolfgang Schleich
Publisher: Wiley-VCH Verlag GmbH
Total Pages: 695
Release: 2001
Genre: Science
ISBN: 9783527294350

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Quantum Optics in Phase Space provides a concise introduction to the rapidly moving field of quantum optics from the point of view of phase space. Modern in style and didactically skillful, Quantum Optics in Phase Space prepares students for their own research by presenting detailed derivations, many illustrations and a large set of workable problems at the end of each chapter. Often, the theoretical treatments are accompanied by the corresponding experiments. An exhaustive list of references provides a guide to the literature. Quantum Optics in Phase Space also serves advanced researchers as a comprehensive reference book. Starting with an extensive review of the experiments that define quantum optics and a brief summary of the foundations of quantum mechanics the author Wolfgang P. Schleich illustrates the properties of quantum states with the help of the Wigner phase space distribution function. His description of waves ala WKB connects semi-classical phase space with the Berry phase. These semi-classical techniques provide deeper insight into the timely topics of wave packet dynamics, fractional revivals and the Talbot effect. Whereas the first half of the book deals with mechanical oscillators such as ions in a trap or atoms in a standing wave the second half addresses problems where the quantization of the radiation field is of importance. Such topics extensively discussed include optical interferometry, the atom-field interaction, quantum state preparation and measurement, entanglement, decoherence, the one-atom maser and atom optics in quantized light fields. Quantum Optics in Phase Space presents the subject of quantum optics as transparently as possible. Giving wide-ranging references, it enables students to study and solve problems with modern scientific literature. The result is a remarkably concise yet comprehensive and accessible text- and reference book - an inspiring source of information and insight for students, teachers and researchers alike.


Phase in Optics

Phase in Optics
Author: Vlasta Pe?inov 
Publisher: World Scientific
Total Pages: 472
Release: 1998
Genre: Science
ISBN: 9789810232085

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


Selected Papers on Phase-space Optics

Selected Papers on Phase-space Optics
Author: Markus E. Testorf
Publisher: SPIE-International Society for Optical Engineering
Total Pages: 730
Release: 2006
Genre: Optics
ISBN:

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Phase-space methods can be traced back to early contributions in classical geometrical optics, yet it is only recently that scientists and engineers began to systematically explore the use of phase-space representations for analyzing and synthesizing optical signals. This seminal collection of 70 papers dated from 1932 through 2004 describes the spatial properties of optical signals in terms of phase-space in the classical optical fields, and sketches some of the many interesting applications of phase-space methods.


Quantum Mechanics in Phase Space

Quantum Mechanics in Phase Space
Author: Cosmas Zachos
Publisher: World Scientific
Total Pages: 560
Release: 2005
Genre: Science
ISBN: 9812383840

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Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides ? coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.


Optics of Charged Particles

Optics of Charged Particles
Author: Hermann Wollnik
Publisher: Academic Press
Total Pages: 319
Release: 2021-10-23
Genre: Science
ISBN: 012821466X

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Optics of Charged Particles, 2nd edition, describes how charged particles move in the fields of magnetic and electrostatic dipoles, quadrupoles, higher order multipoles, and field-free regions. Since the first edition, published over 30 years ago, new technologies have emerged and have been used for new ion optical instruments like, for instance, time-of-flight mass analyzers, which are described now. Fully updated and revised, this new edition provides ways to design mass separators, spectrographs, and spectrometers, which are the key tools in organic chemistry and for drug developments, in environmental trace analyses and for investigations in nuclear physics like the search for super heavy elements as well as molecules in space science. The book discusses individual particle trajectories as well as particle beams in space and in phase-space, and it provides guidelines for the design of particle optical instruments. For experienced researchers, working in the field, it highlights the latest developments in new ion optical instruments and provides guidelines and examples for the design of new instruments for the transport of beams of charged particles and the mass/charge or energy/charge analyses of ions. Furthermore, it provides background knowledge required to accurately understand and analyze results, when developing ion-optical instruments. By providing a comprehensive overview of the field of charged particle optics, this edition of the book supports all those working, directly or indirectly, with charged-particle research or the development of ion- and electron-analyzing instruments. Provides enhanced, clear descriptions, and derivations making complex aspects of the general motion of charged particles understandable as well as features of charged particle analyzing instruments Assists the reader in applying insights obtained from the principles of charged particle optics to the design of new transporting and mass- or energy-analyzing instruments for ions Discusses new applications and newly occurring issues, which have arisen since the first edition