Geometrical Optics and Related Topics

Geometrical Optics and Related Topics PDF

Author: Ferrucio Colombini

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 365

ISBN-13: 1461220149

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This book contains fourteen research papers which are expanded versions of conferences given at a meeting held in September 1996 in Cortona, Italy. The topics include blowup questions for quasilinear equations in two dimensions, time decay of waves in LP, uniqueness results for systems of conservation laws in one dimension, concentra tion effects for critical nonlinear wave equations, diffraction of nonlin ear waves, propagation of singularities in scattering theory, caustics for semi-linear oscillations. Other topics linked to microlocal analysis are Sobolev embedding theorems in Weyl-Hormander calculus, local solv ability for pseudodifferential equations, hypoellipticity for highly degen erate operators. The book also contains a result on uniqueness for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for characteristic initial-boundary value problems. On each topic listed above, one will find new results as well as a description of the state of the art. Various methods related to nonlinear geometrical optics are a transversal theme of several articles. Pseu dodifferential techniques are used to tackle classical PDE problems like Cauchy uniqueness. We are pleased to thank the speakers for their contributions to the meeting: Serge Alinhac, Mike Beals, Alberto Bressan, Jean-Yves Chemin, Christophe Cheverry, Daniele Del Santo, Nils Dencker, Patrick Gerard, Lars Hormander, John Hunter, Richard Melrose, Guy Metivier, Yoshinori Morimoto, and Tatsuo Nishitani. The meeting was made possible in part by the financial support of a European commission pro gram, "Human capital and mobility CHRX-CT94-044."

The Geometrical Optics Workbook

The Geometrical Optics Workbook PDF

Author: David S. Loshin

Publisher: Elsevier Health Sciences

Published: 2015-01-28

Total Pages: 202

ISBN-13: 1483293653

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This workbook is designed to supplement optics textbooks and covers all the traditional topics of geometrical optics. Terms, equations, definitions, and concepts are discussed briefly and explained through a series of problems that are worked out in a step-by-step manner which simplifies the problem-solving process. Additional practice problems are provided at the end of each chapter. * - An indispensable tool when studying for the state and National Boards * - An ideal supplement to optics textbooks * - Covers the traditional topics of geometrical optics.

Modern Geometrical Optics

Modern Geometrical Optics PDF

Author: Richard Ditteon

Publisher: Wiley-Interscience

Published: 1997-11-03

Total Pages: 0

ISBN-13: 9780471169222

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From basic terms and concepts to advanced optimization techniques-a complete, practical introduction to modern geometrical optics Most books on geometrical optics present only matrix methods. Modern Geometrical Optics, although it covers matrix methods, emphasizes y-nu ray tracing methods, which are used most commonly by optical engineers and are easier to adapt to third-order optics and y-??? diagrams. Moving by logical degrees from fundamental principles to advanced optical analysis and design methods, this book bridges the gap between the optical theory taught in introductory physics texts and advanced books on lens design. Providing the background material needed to understand advanced material, it covers important topics such as field of view, stops, pupils and windows, exact ray tracing, image quality, and optimization of the image. Important features of Modern Geometrical Optics include: * Examples of all important techniques presented * Extensive problem sets in each chapter * Optical analysis and design software * Chapters covering y-??? diagrams, optimization, and lens design This book is both a primer for professionals called upon to design optical systems and an ideal text for courses in modern geometrical optics. Companion Software Special lens design and analysis software capable of solving all problems presented in the book is available via Wiley's FTP site. This software also serves as an introduction to the use of commercial lens design software. Appendix C is a user's manual for the software.

Problems And Solutions On Optics (Second Edition)

Problems And Solutions On Optics (Second Edition) PDF

Author: Swee Cheng Lim

Publisher: World Scientific

Published: 2019-09-24

Total Pages: 238

ISBN-13: 9813273879

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This volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include geometrical optics, quantum optics, and wave optics.This latest edition has been updated with more problems and solutions, bringing the total to over 200 problems. The original problems have been modernized, and outdated questions removed, placing emphasis on those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on optics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.

Introduction to Geometrical Optics

Introduction to Geometrical Optics PDF

Author: Milton Katz

Publisher: World Scientific

Published: 2002

Total Pages: 332

ISBN-13: 9789812382245

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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.

Optics

Optics PDF

Author: Karl Dieter Moeller

Publisher: Springer Science & Business Media

Published: 2007-08-08

Total Pages: 459

ISBN-13: 0387261680

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This new edition is intended for a one semester course in optics for juniors and seniors in science and engineering. It uses scripts from Maple, MathCad, Mathematica, and MATLAB to provide a simulated laboratory where students can learn by exploration and discovery instead of passive absorption. The text covers all the standard topics of a traditional optics course. It contains step by step derivations of all basic formulas in geometrical, wave and Fourier optics. The threefold arrangement of text, applications, and files makes the book suitable for "self-learning" by scientists or engineers who would like to refresh their knowledge of optics.

Introduction to Optics

Introduction to Optics PDF

Author: Nkoma, John S.

Publisher: Mkuki na Nyota Publishers

Published: 2019-05-22

Total Pages: 266

ISBN-13: 9987083714

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The book introduces university undergraduates to the fascinating world of the science of light. Contemporary physics programmes are under increasing pressure to provide a balance between coverage of several traditional branches of physics and to expose students to emerging research areas. It is therefore important to provide an in depth introduction to some branches of physics, such as optics, to students who may not become professional physicists but will need physics in their chosen professions. Some Universities offer optics as semester courses while others offer it as modules within general physics courses in the degree programme. The book meets the needs of both approaches. Optics has three major branches: Geometrical optics, Physical optics and Quantum optics. Chapter 1 is about the nature of light. Geometrical optics is covered in chapters 2 to 5, Physical optics in chapters 6 to 8, and Quantum optics in chapter 9, and lays a foundation for advanced courses in applied quantum optics. The language of physics is universal, and the book is suited to students globally. However, the book recognises certain peculiarities in Africa, and is written to meet the specific needs of students in African Universities. Some students come from well equipped schools while other students come from less well equipped schools. These two groups of students attending the same course have different needs. The well prepared students need challenge, while the others need to be taught in fair detail. The book has therefore detailed discussions and explanations of difficult-to-grasp topics with the help of simple but clearly drawn and labeled diagrams. The discussions and conclusions are presented pointwise, and key words, definitions, laws, etc., are highlighted. There are a large number of problems and exercises at the end of each chapter.

Practical Optics

Practical Optics PDF

Author: Naftaly Menn

Publisher: Elsevier

Published: 2004-08-24

Total Pages: 335

ISBN-13: 0080492126

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Practical Optics bridges the gap between what students learn in optical engineering curricula and the problems they realistically will face as optical engineering practitioners, in a variety of high-tech industries. A broad range of topics from modern optical engineering are addressed, ranging from geometrical optics and basic layout of electro-optical instruments, to the theory of imaging, radiation sources and radiation sensors, spectroscopy, and color vision and description of optical methods for measurements of numerous physical parameters (temperature, flow velocity, distances, roughness of surfaces, etc.). · Condensed background information related to most topics of modern Electro-Optics and Optical Engineering.· Coverage of each topic includes examples and problems, most of which are original and derived from realistic, high-tech projects.· Detailed solutions are provided for every problem, both theoretical and numerical; many readers will probably start with the problems/solutions and then read the background if necessary. · Coverage includes some topics rarely covered in Optics textbooks, such as non-contact measurements of temperature, velocity, or color.