Mathematical Optics

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Publisher : CRC Press
ISBN 13 : 143986960X
Total Pages : 632 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Optics by : Vasudevan Lakshminarayanan

Download or read book Mathematical Optics written by Vasudevan Lakshminarayanan and published by CRC Press. This book was released on 2012-12-14 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods for Optical Physics and Engineering

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Publisher : Cambridge University Press
ISBN 13 : 1139492691
Total Pages : 819 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mathematical Methods for Optical Physics and Engineering by : Gregory J. Gbur

Download or read book Mathematical Methods for Optical Physics and Engineering written by Gregory J. Gbur and published by Cambridge University Press. This book was released on 2011-01-06 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

Mathematical Theory of Optics

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Author :
Publisher : Univ of California Press
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4./5 ( download)

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Book Synopsis Mathematical Theory of Optics by : Rudolf Karl Luneburg

Download or read book Mathematical Theory of Optics written by Rudolf Karl Luneburg and published by Univ of California Press. This book was released on 1966 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods of Quantum Optics

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Author :
Publisher : Springer
ISBN 13 : 3540449531
Total Pages : 291 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Methods of Quantum Optics by : Ravinder R. Puri

Download or read book Mathematical Methods of Quantum Optics written by Ravinder R. Puri and published by Springer. This book was released on 2012-11-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this reference treats the theoretical aspects of quantum optics. It develops a unified approach for determining the dynamics of a two-level and three-level atom in combinations of quantized field under certain conditions.

Geometric Optics on Phase Space

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540220398
Total Pages : 400 pages
Book Rating : 4.2/5 (23 download)

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Book Synopsis Geometric Optics on Phase Space by : Kurt Bernardo Wolf

Download or read book Geometric Optics on Phase Space written by Kurt Bernardo Wolf and published by Springer Science & Business Media. This book was released on 2004-07-21 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Devices for Optical Sciences

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Publisher :
ISBN 13 : 9780750316132
Total Pages : 0 pages
Book Rating : 4.3/5 (161 download)

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Book Synopsis Mathematical Devices for Optical Sciences by : Sibel Başkal

Download or read book Mathematical Devices for Optical Sciences written by Sibel Başkal and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Lorentz group which is the underlying scientific language for modern optics has been most notably used for understanding Einstein's special relativity. By using a simplified approach of two-by-two matrices and Wigner functions, this book provides a basic and novel approach to classical and quantum optics, making these often-difficult subjects more transparent to the reader. Written by three experts in the field, Professors Sibel Baðskal, Young S. Kim, and Marilyn E Noz, this book will give the reader a comprehensive overview of how fundamental issues in quantum mechanics can be approached using various optical instruments, Wigner functions, and quantum entanglement." -- Prové de l'editor.

Mathematical Optics

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Publisher : CRC Press
ISBN 13 : 1439869618
Total Pages : 630 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Optics by : Vasudevan Lakshminarayanan

Download or read book Mathematical Optics written by Vasudevan Lakshminarayanan and published by CRC Press. This book was released on 2018-10-08 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Theory of Optics

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Author :
Publisher : University of California Press
ISBN 13 : 0520368509
Total Pages : 480 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis Mathematical Theory of Optics by : R. K. Luneburg

Download or read book Mathematical Theory of Optics written by R. K. Luneburg and published by University of California Press. This book was released on 2021-05-28 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.

The Mathematics of Geometrical and Physical Optics

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Publisher : John Wiley & Sons
ISBN 13 : 352760829X
Total Pages : 240 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis The Mathematics of Geometrical and Physical Optics by : Orestes N. Stavroudis

Download or read book The Mathematics of Geometrical and Physical Optics written by Orestes N. Stavroudis and published by John Wiley & Sons. This book was released on 2006-08-21 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sequel to his book, "The Optics of Rays, Wavefronts, and Caustics," Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen's principle, and Maxwell's model of Gauss' perfect lens.

Geometrical Optics

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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4./5 ( download)

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Book Synopsis Geometrical Optics by : J. L. Synge

Download or read book Geometrical Optics written by J. L. Synge and published by CUP Archive. This book was released on 1937-01-02 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is by no means easy for the applied mathematician to decide how much importance he should attach to the more abstract and aesthetic side of his work ... To all appearances, Sir William Rowan Hamilton (1850-1865) attached little importance to the practical applications of his method, and it was only with the publication of his Mathematical Papers that it was possible to form a more correct and balanced judgement of Hamilton as an applied mathematician.

Lenses and Waves

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Publisher : Springer Science & Business Media
ISBN 13 : 1402026986
Total Pages : 294 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Lenses and Waves by : Fokko Jan Dijksterhuis

Download or read book Lenses and Waves written by Fokko Jan Dijksterhuis and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1690, Christiaan Huygens (1629-1695) published Traité de la Lumière, containing his renowned wave theory of light. It is considered a landmark in seventeenth-century science, for the way Huygens mathematized the corpuscular nature of light and his probabilistic conception of natural knowledge. This book discusses the development of Huygens' wave theory, reconstructing the winding road that eventually led to Traité de la Lumière. For the first time, the full range of manuscript sources is taken into account. In addition, the development of Huygens' thinking on the nature of light is put in the context of his optics as a whole, which was dominated by his lifelong pursuit of theoretical and practical dioptrics. In so doing, this book offers the first account of the development of Huygens' mathematical analysis of lenses and telescopes and its significance for the origin of the wave theory of light. As Huygens applied his mathematical proficiency to practical issues pertaining to telescopes – including trying to design a perfect telescope by means of mathematical theory – his dioptrics is significant for our understanding of seventeenth-century relations between theory and practice. With this full account of Huygens' optics, this book sheds new light on the history of seventeenth-century optics and the rise of the new mathematical sciences, as well as Huygens' oeuvre as a whole. Students of the history of optics, of early mathematical physics, and the Scientific Revolution, will find this book enlightening.

Introductory Quantum Optics

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Publisher : Cambridge University Press
ISBN 13 : 9780521527354
Total Pages : 338 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Introductory Quantum Optics by : Christopher Gerry

Download or read book Introductory Quantum Optics written by Christopher Gerry and published by Cambridge University Press. This book was released on 2005 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Ptolemy and the Foundations of Ancient Mathematical Optics

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Publisher : American Philosophical Society
ISBN 13 : 9780871698933
Total Pages : 180 pages
Book Rating : 4.6/5 (989 download)

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Book Synopsis Ptolemy and the Foundations of Ancient Mathematical Optics by : A. Mark Smith

Download or read book Ptolemy and the Foundations of Ancient Mathematical Optics written by A. Mark Smith and published by American Philosophical Society. This book was released on 1999 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: (I) Ancient Theories of Visual Perception: The Physics of Vision; The Physiology of Vision; The Psychology of Visual Perception; (II) Optics Proper: Analysis of Direct Vision: The Visual Cone; The Visual Perception of Physical Space; Binocular Vision; (III) Catoptrics: Analysis of Vision by Reflected Rays: The Law of Equal Angles; Multiple Reflections and Multiple Images; The Principles of Image-Location; Image-Formation and Distortion; Visual Effecs from Composite Mirrors; (IV) Dioptrics: Analysis of Vision by Deflected Rays: Observation and Explanation of the Phenomenon; Practical Application: The Problem of Atmospheric Refraction; Image-Location as a Function of the Shape of the Refracting Surface; Size-Distortion; (V) Analysis of the Rainbow and of Burning Mirrors; (VI) Conclusion. Illus.

Mathematical Principles of Natural Philosophy

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)

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Book Synopsis Mathematical Principles of Natural Philosophy by : Isaac Newton

Download or read book Mathematical Principles of Natural Philosophy written by Isaac Newton and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Wave Optics

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Publisher : Courier Corporation
ISBN 13 : 0486145956
Total Pages : 290 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Elementary Wave Optics by : Robert H. Webb

Download or read book Elementary Wave Optics written by Robert H. Webb and published by Courier Corporation. This book was released on 2012-09-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook presents thorough coverage of the standard topics of classical optics and optical instrument design; it also offers significant details regarding the concepts of modern optics. 1969 edition.

Statistical Methods in Quantum Optics 1

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Publisher : Springer Science & Business Media
ISBN 13 : 3662038757
Total Pages : 384 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Statistical Methods in Quantum Optics 1 by : Howard J. Carmichael

Download or read book Statistical Methods in Quantum Optics 1 written by Howard J. Carmichael and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a two-volume presentation on current research problems in quantum optics, and will serve as a standard reference in the field for many years to come. The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker-Planck equations.

Mathematical Theory of Dispersion-Managed Optical Solitons

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Publisher : Springer Science & Business Media
ISBN 13 : 3642102204
Total Pages : 170 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Theory of Dispersion-Managed Optical Solitons by : Anjan Biswas

Download or read book Mathematical Theory of Dispersion-Managed Optical Solitons written by Anjan Biswas and published by Springer Science & Business Media. This book was released on 2010-07-07 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical Theory of Dispersion-Managed Optical Solitons" discusses recent advances covering optical solitons, soliton perturbation, optical cross-talk, Gabitov-Turitsyn Equations, quasi-linear pulses, and higher order Gabitov-Turitsyn Equations. Focusing on a mathematical perspective, the book bridges the gap between concepts in engineering and mathematics, and gives an outlook to many new topics for further research. The book is intended for researchers and graduate students in applied mathematics, physics and engineering and also it will be of interest to those who are conducting research in nonlinear fiber optics. Dr. Anjan Biswas is an Associate Professor at the Department of Applied Mathematics & Theoretical Physics, Delaware State University, Dover, DE, USA; Dr. Daniela Milovic is an Associate Professor at the Department of Telecommunications, Faculty of Electronic Engineering, University of Nis, Serbia; Dr. Matthew Edwards is the Dean of the School of Arts and Sciences at Alabama A & M University in Huntsville, AL, USA.