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Author: Marat Samuilovich Soskin
Publisher: SPIE-International Society for Optical Engineering
Published: 1998
Total Pages: 172
ISBN-13:
DOWNLOAD EBOOKThese papers were taken from a conference on singular optics. They address topics such as: paraxial beams of spinning light; diffraction catastrophes and wave caustics of multimode fibres; and visualization of the phase singularities in wavefront sensors.
Author: Marat Samuilovich Soskin
Publisher: SPIE-International Society for Optical Engineering
Published: 2001
Total Pages: 340
ISBN-13:
DOWNLOAD EBOOKAuthor: Gregory J. Gbur
Publisher: CRC Press
Published: 2016-11-17
Total Pages: 345
ISBN-13: 1315356686
DOWNLOAD EBOOK"This engagingly written text provides a useful pedagogical introduction to an extensive class of geometrical phenomena in the optics of polarization and phase, including simple explanations of much of the underlying mathematics." —Michael Berry, University of Bristol, UK "The author covers a vast number of topics in great detail, with a unifying mathematical treatment. It will be a useful reference for both beginners and experts...." —Enrique Galvez, Charles A. Dana Professor of Physics and Astronomy, Colgate University "a firm and comprehensive grounding both for those looking to acquaint themselves with the field and those of us that need reminding of the things we thought we knew, but hitherto did not understand: an essential point of reference." —Miles Padgett, Kelvin Chair of Natural Philosophy and Vice Principal (Research), University of Glasgow This book focuses on the various forms of wavefield singularities, including optical vortices and polarization singularities, as well as orbital angular momentum and associated applications. It highlights how an understanding of singular optics provides a completely different way to look at light. Whereas traditional optics focuses on the shape and structure of the non-zero portions of the wavefield, singular optics describes a wave’s properties from its null regions. The contents cover the three main areas of the field: the study of generic features of wavefields, determination of unusual properties of vortices and wavefields that contain singularities, and practical applications of vortices and other singularities.
Author:
Publisher:
Published: 2000
Total Pages: 1000
ISBN-13:
DOWNLOAD EBOOKAuthor: K. Fujikawa
Publisher: World Scientific
Published: 2014
Total Pages: 328
ISBN-13: 9814472905
DOWNLOAD EBOOKThis memorial volume in honor of Dr Akira Tonomura is to commemorate his enormous contributions to fundamental physics in addition to the basic technology of electron microscopy. Dr Tonomura passed away on May 2, 2012 at the age of 70. He was Fellow of Hitachi, Ltd., Group Director of Single Quantum Dynamics Research Group of RIKEN, Principal Investigator of the FIRST Tonomura Project, and Professor of Okinawa Institute of Science and Technology Graduate University. The book consists of: 1) contributions from distinguished physicists, who participated in the OC Tonomura FIRST International Symposium on Electron Microscopy and Gauge FieldsOCO planned by Tonomura himself and held in Tokyo on May 9OCo10, 2012, and 2) reprints of key papers by Tonomura and his team. Invited speakers at this Symposium include Chen Ning Yang and other distinguished physicists such as Yakir Aharonov, Gordon Baym, Christian Colliex, Anthony J Leggett, Naoto Nagaosa, Nobuyuki Osakabe and Masahito Ueda. This OC memorialOCO Symposium was originally planned to commemorate the start of the Japanese-government-sponsored FIRST Tonomura Project to construct the 1.2 MV holography electron microscope capable of observing quantum phenomena in the microscopic world. In addition, the book includes contributions from participants of the past ISQM-Tokyo symposia held at Hitachi and from Tonomura''s longtime friends, including Michael Berry, Jerome Friedman, Hidetoshi Fukuyama, Joseph Imry, Yoshinori Tokura, Jaw-Shen Tsai, and Anton Zeilinger. The co-editors are Kazuo Fujikawa, Tonomura''s longtime friend, and Yoshimasa A Ono who is Tonomura''s associate at Hitachi Advanced Research Laboratory and now in the FIRST Tonomura Project. Contents: My Dream of Ultimate Holography Electron Microscope (Akira Tonomura); Biography of Akira Tonomura (April 1942 OCo May 2012) (Nobuyuki Osakabe); Tonomura FIRST International Symposium on OC Electron Microscopy and Gauge FieldsOCO (Yoshimasa A Ono); Recollections of Akira Tonomura: Thank You and Farewell to Tonomura-kun (Hidetoshi Fukuyama); Remembering Akira Tonomura (Michael Berry); Akira Tonomura: An Experimental Visionary (Anton Zeilinger); Dr. Akira Tonomura: Master of Experimental Physics (Kazuo Fujikawa); Gauge Theory and Aharonov-Bohm Effect: Topology and Gauge Theory in Physics (Chen Ning Yang); On the Aharonov-Bohm Effect and Why Heisenberg Captures Nonlocality Better Than SchrAdinger (Yakir Aharonov); How the Test of Aharonov-Bohm Effect was Initiated at Hitachi Laboratory (Nobuyuki Osakabe); Some Reflections Concerning Geometrical Phases (Anthony J Leggett and Yiruo Lin); Mesoscopic Aharonov-Bohm Interferometers: Decoherence and Thermoelectric Transport (Ora Entin-Wohlman, Amnon Aharony and Yoseph Imry); Spin Textures and Gauge Fields in Frustrated Magnets (Naoto Nagaosa and Yoshinori Tokura); Gauge Theory and Artificial Spin Ices: Imaging Emergent Monopoles with Electron Microscopy (Shawn D Pollard and Yimei Zhu); Do Dispersionless Forces Exist? (Herman Batelaan and Scot McGregor); Aharonov-Bohm Effect and Geometric Phases OCo Exact and Approximate Topology (Kazuo Fujikawa); A Brief Overview and Topological Aspects of Gaseous Bose-Einstein Condensates (Masahito Ueda); Application of Electron Microscopy to Quantum Mechanics and Materials Sciences: Mapping Electric Fields with Inelastic Electrons in a Transmission Electron Microscope (Christian Colliex); OC The Picture is My LifeOCO (Shuji Hasegawa); Direct Observation of Electronically Phase-Separated Charge Density Waves in Lu 2 Ir 3 Si 5 by Transmission Electron Microscopy (Cheng-Hsuan Chen); Basic Discoveries in Electromagnetic Field Visualization (Daisuke Shindo); Nanomagnetism Visualized by Electron Holography (Hyun Soon Park); Quantum Physics: Probing the Proton with Electron Microscopy (Jerome I Friedman); Hanbury BrownOCoTwiss Interferometry with Electrons: Coulomb vs. Quantum Statistics (Gordon Baym and Kan Shen); Vortex Molecules in Thin Films of Layered Superconductors (Alexander I Buzdin); Coherent Quantum Phase Slip (Jaw-Shen Tsai); Coherency of Spin Precession in Metallic Lateral Spin Valves (YoshiChika Otani, Hiroshi Idzuchi and Yasuhiro Fukuma); Transverse Relativistic Effects in Paraxial Wave Interference (Konstantin Y Bliokh, Yana V Izdebskaya and Franco Nori). Readership: Graduate students and researchers in physics, materials science and related fields."
Author: Tristan Needham
Publisher: Princeton University Press
Published: 2021-07-13
Total Pages: 530
ISBN-13: 0691203695
DOWNLOAD EBOOKAn inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Author: Jean Petitot
Publisher: Springer
Published: 2017-11-08
Total Pages: 388
ISBN-13: 3319655914
DOWNLOAD EBOOKThis book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure. As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.
Author: SENTHILKUMARAN
Publisher: IOP Publishing Limited
Published: 2024-01-25
Total Pages: 0
ISBN-13: 9780750349802
DOWNLOAD EBOOKThe book gives a thorough introduction to singularities and their development. It explains in detail important topics such as the types of singularities, their properties, detection and application, and emerging research trends.
Author: Tyurin A.V., Zhukov S.A., Akhmerov A. Yu.
Publisher: International Science Group
Published: 2024-02-28
Total Pages: 321
ISBN-13:
DOWNLOAD EBOOKThe technology of creation of three-dimensional holographic optical elements with controlled characteristics on the basis of heterophase microsystem "CaF2 core – AgBr shell", alkaline halide crystals (AHC) and chalcogenide glassy semiconductors (CGS) is proposed. We also consider the applications of holographic optical elements based on threedimensional transmitting diffraction structures for solving some practical problems. For students, graduate students, researchers.
Author: Piotr Kielanowski
Publisher: Springer Nature
Published: 2020-10-27
Total Pages: 373
ISBN-13: 3030533050
DOWNLOAD EBOOKThe book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
