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Geometrical and Trigonometric Optics

Geometrical and Trigonometric Optics Author Eustace L. Dereniak
ISBN-10 9780521887465
Release 2008-09-04
Pages 409
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An ideal textbook for advanced undergraduate courses in geometrical optics; includes worked examples and exercises.



Introduction to Geometrical Optics

Introduction to Geometrical Optics Author Milton Katz
ISBN-10 9812382240
Release 2002
Pages 313
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This book is the culmination of twenty-five years of teaching Geometrical Optics. The volume is organised such that the single spherical refracting surface is the basic optical element. Spherical mirrors are treated as special cases of refraction, with the same applicable equations. Thin lens equations follow as combinations of spherical refracting surfaces while the cardinal points of the thick lens make it equivalent to a thin lens. Ultimately, one set of vergence equations are applicable to all these elements.The chapters are devoted to in-depth treatments of stops, pupils and ports; magnifiers, microscopes, telescopes, and camera lenses; ophthalmic instruments; resolving power and MTF; trigonometric ray tracing; and chromatic and monochromatic aberrations. There are over 100 worked examples, 400 homework problems and 400 illustrations.First published in 1994 by Penumbra Publishing Co.



Geometric Physical and Visual Optics

Geometric  Physical  and Visual Optics Author Michael P. Keating
ISBN-10 UOM:39015053538412
Release 2002
Pages 613
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* Fundamental text for an optometric curriculum, a student studying for the optometry boards, or a person interested in optics and vision * Uses the vergence-dioptric power-wavefront approach from the beginning * Emphasizes conceptual understanding and development of intuition



Geometrical Optics and Optical Design

Geometrical Optics and Optical Design Author Pantazis Mouroulis
ISBN-10 0195089316
Release 1997
Pages 354
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This book is an up to date, introductory treatment of geometrical optics, from the point of view of the future optics practitioner. The principles of gaussian optics and first-order layout and design are emphasized, based on the tracing of two paraxial rays and the associated optical invariant. The radiometry of lens systems is seen to rest on the same concepts. Third order aberration theory is developed in detail. Complete examples of third order design are provided, together with software tools that allow the reader to follow the examples in detail, or to develop other examples independently. Throughout the book, the understanding of fundamental principles is given preference over the mere following of recipes. Several problems at the end of each chapter allow the student to practice and extend the concepts taught. In addition to Gaussian optics and aberrations, the basic principles of several types of optical instruments and components are treated, including gradient index and diffractive optics. A complete yet simple treatment of gaussian beams is included, that is also based on two paraxial rays and the optical invariant. The book concludes with an outline of the optical design process and solved design problems.



Applied Optics and Optical Design Part Two

Applied Optics and Optical Design  Part Two Author A. E. Conrady
ISBN-10 9780486162621
Release 2014-05-05
Pages 352
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Classic detailed treatment for practical designer. Fundamental concepts, systematic study and design of all types of optical systems. Reader can then design simpler optical systems without aid. Part Two of Two.



The Geometry of Special Relativity

The Geometry of Special Relativity Author Tevian Dray
ISBN-10 9781466510470
Release 2012-07-02
Pages 150
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The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous γ symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas, but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein’s general theory of relativity. The book also briefly describes the further steps leading to Einstein’s general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function.



Introductory Quantum Optics

Introductory Quantum Optics Author Christopher Gerry
ISBN-10 052152735X
Release 2005
Pages 317
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This book provides an elementary introduction to the subject of quantum optics, the study of the quantum mechanical nature of light and its interaction with matter. The presentation is almost entirely concerned with the quantized electromagnetic field. Topics covered include single-mode field quantization in a cavity, quantization of multimode fields, quantum phase, coherent states, quasi-probability distribution in phase space, atom-field interactions, the Jaynes-Cummings model, quantum coherence theory, beam splitters and interferometers, dissipative interactions, nonclassical field states with squeezing etc., 'Schrödinger cat' states, tests of local realism with entangled photons from down-conversion, experimental realizations of cavity quantum electrodynamics, trapped ions, decoherence, and some applications to quantum information processing, particularly quantum cryptography. The book contains many homework problems and an extensive bibliography. This text is designed for upper-level undergraduates taking courses in quantum optics who have already taken a course in quantum mechanics, and for first and second year graduate students.



Kiselev s Geometry

Kiselev s Geometry Author Andreĭ Petrovich Kiselev
ISBN-10 UCSD:31822037285152
Release 2008
Pages 176
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This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.



Fundamental Optical Design

Fundamental Optical Design Author Michael J. Kidger
ISBN-10 0819439150
Release 2002
Pages 290
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This book provides all the essential and best elements of Kidger's many courses taught worldwide on lens and optical design. It is written in a direct style that is compact, logical, and to the point--a tutorial in the best sense of the word. I read my copy late last year and read it straight through, cover to cover. In fact, I read it no less than three times. Its elegant expositions, valuable insights, and up-front espousal of pre-design theory make it an outstanding work. It's in the same league with Conrady and Kingslake. --Warren Smith



Concise Optics

Concise Optics Author Ajawad I. Haija
ISBN-10 9781351588492
Release 2018-02-21
Pages 486
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This introductory text is a reader friendly treatment of geometrical and physical optics emphasizing problems and solved examples with detailed analysis and helpful commentary. The authors are seasoned educators with decades of experience teaching optics. Their approach is to gradually present mathematics explaining the physical concepts. It covers ray tracing to the wave nature of light, and introduces Maxwell’s equations in an organic fashion. The text then moves on to explains how to analyze simple optical systems such as spectacles for improving vision, microscopes, and telescopes, while also being exposed to contemporary research topics. Ajawad I. Haija is a professor of physics at Indiana University of Pennsylvania. M. Z. Numan is professor and chair of the department of physics at Indiana University of Pennsylvania. W. Larry Freeman is Emeritus Professor of Physics at Indiana University of Pennsylvania.



Geometric Optics on Phase Space

Geometric Optics on Phase Space Author Kurt Bernardo Wolf
ISBN-10 3540220399
Release 2004-07-21
Pages 376
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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.



Geometry DeMYSTiFieD 2nd Edition

Geometry DeMYSTiFieD  2nd Edition Author Stan Gibilisco
ISBN-10 9780071756273
Release 2011-05-13
Pages 352
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A new ANGLE to learning GEOMETRY Trying to understand geometry but feel like you're stuck in another dimension? Here's your solution. Geometry Demystified, Second Edition helps you grasp the essential concepts with ease. Written in a step-by-step format, this practical guide begins with two dimensions, reviewing points, lines, angles, and distances, then covers triangles, quadrilaterals, polygons, and the Cartesian plane. The book goes on to discuss three dimensions, explaining surface area, volume, vectors, Cartesian three-space, alternative coordinates, hyperspace, and warped space. Detailed examples, concise explanations, and worked-out problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn about: Plane geometry and solid geometry Using a drafting compass and straight edge Solving pairs of equations Working with vectors in three-space Polar coordinates Cartesian n-space Simple enough for a beginner, but challenging enough for an advanced student, Geometry Demystified, Second Edition helps you master this fundamental mathematics subject.



Beautiful Geometry

Beautiful Geometry Author Eli Maor
ISBN-10 9781400848331
Release 2014-01-19
Pages 208
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If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.



Mathematics and the Physical World

Mathematics and the Physical World Author Morris Kline
ISBN-10 9780486136318
Release 2012-03-15
Pages 512
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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.



Building Electro Optical Systems

Building Electro Optical Systems Author Philip C. D. Hobbs
ISBN-10 9781118211090
Release 2011-09-20
Pages 820
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Praise for the First Edition "Now a new laboratory bible for optics researchers has joined the list: it is Phil Hobbs's Building Electro-Optical Systems: Making It All Work." —Tony Siegman, Optics & Photonics News Building a modern electro-optical instrument may be the most interdisciplinary job in all of engineering. Be it a DVD player or a laboratory one-off, it involves physics, electrical engineering, optical engineering, and computer science interacting in complex ways. This book will help all kinds of technical people sort through the complexity and build electro-optical systems that just work, with maximum insight and minimum trial and error. Written in an engaging and conversational style, this Second Edition has been updated and expanded over the previous edition to reflect technical advances and a great many conversations with working designers. Key features of this new edition include: Expanded coverage of detectors, lasers, photon budgets, signal processing scheme planning, and front ends Coverage of everything from basic theory and measurement principles to design debugging and integration of optical and electronic systems Supplementary material is available on an ftp site, including an additional chapter on thermal Control and Chapter problems highly relevant to real-world design Extensive coverage of high performance optical detection and laser noise cancellation Each chapter is full of useful lore from the author's years of experience building advanced instruments. For more background, an appendix lists 100 good books in all relevant areas, introductory as well as advanced. Building Electro-Optical Systems: Making It All Work, Second Edition is essential reading for researchers, students, and professionals who have systems to build.



RF Photonic Technology in Optical Fiber Links

RF Photonic Technology in Optical Fiber Links Author William S. C. Chang
ISBN-10 1139439685
Release 2007-05-14
Pages
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In many applications, radio frequency (RF) signals need to be transmitted and processed without being digitalized. Optical fiber provides a transmission medium in which RF modulated optical carriers can be transmitted and distributed with very low loss, making it more efficient and less costly than conventional electronic systems. This volume presents a review of RF photonic components, transmission systems, and signal processing examples in optical fibers from leading academic, government, and industry scientists working in this field. It also introduces the reader to various related technologies such as direct modulation of laser sources, external modulation techniques, and detectors. The text is aimed at engineers and scientists engaged in the research and development of optical fibers and analog RF applications. With an emphasis on design, performance and practical application, this book will be of particular interest to those developing systems based on this technology.



Plane Trigonometry

Plane Trigonometry Author Sidney Luxton Loney
ISBN-10 NWU:35556038159174
Release 1895
Pages
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Plane Trigonometry has been writing in one form or another for most of life. You can find so many inspiration from Plane Trigonometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Plane Trigonometry book for free.