Geometric Optics

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Introduction to Geometrical Optics

Author : Milton Katz
Publisher : World Scientific
Page : 332 pages
File Size : 44,5 Mb
Release : 2002
Category : Science
ISBN : 9812382240

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Introduction to Geometrical Optics by Milton Katz Pdf

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 Optics

Author : Antonio Romano,Roberto Cavaliere
Publisher : Birkhäuser
Page : 289 pages
File Size : 51,9 Mb
Release : 2016-09-26
Category : Mathematics
ISBN : 9783319437323

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Geometric Optics by Antonio Romano,Roberto Cavaliere Pdf

This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. Replete with workout examples and exercises, Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics.

Modern Geometrical Optics

Author : Richard Ditteon
Publisher : Wiley-Interscience
Page : 0 pages
File Size : 52,8 Mb
Release : 1997-11-03
Category : Science
ISBN : 0471169226

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Modern Geometrical Optics by Richard Ditteon Pdf

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.

Geometric Optics on Phase Space

Author : Kurt Bernardo Wolf
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 47,8 Mb
Release : 2004-07-21
Category : Science
ISBN : 3540220399

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Geometric Optics on Phase Space by Kurt Bernardo Wolf Pdf

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.

Fundamentals of Geometrical Optics

Author : Virendra N. Mahajan
Publisher : Society of Photo Optical
Page : 472 pages
File Size : 50,6 Mb
Release : 2014-06-03
Category : Technology & Engineering
ISBN : 0819499986

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Fundamentals of Geometrical Optics by Virendra N. Mahajan Pdf

Optical imaging starts with geometrical optics, and ray tracing lies at its forefront. This book starts with Fermat’s principle and derives the three laws of geometrical optics from it. After discussing imaging by refracting and reflecting systems, paraxial ray tracing is used to determine the size of imaging elements and obscuration in mirror systems. Stops, pupils, radiometry, and optical instruments are also discussed. The chromatic and monochromatic aberrations are addressed in detail, followed by spot sizes and spot diagrams of aberrated images of point objects. Each chapter ends with a summary and a set of problems. The book ends with an epilogue that summarizes the imaging process and outlines the next steps within and beyond geometrical optics.

The Geometrical Optics Workbook

Author : David S. Loshin
Publisher : Elsevier Health Sciences
Page : 202 pages
File Size : 49,7 Mb
Release : 2015-01-28
Category : Science
ISBN : 9781483293653

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The Geometrical Optics Workbook by David S. Loshin Pdf

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.

Hyperbolic Partial Differential Equations and Geometric Optics

Author : Jeffrey Rauch
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 43,7 Mb
Release : 2012-05-01
Category : Mathematics
ISBN : 9780821872918

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Hyperbolic Partial Differential Equations and Geometric Optics by Jeffrey Rauch Pdf

This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed. Among the topics carefully presented in the book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves. Studied in detail are the damping of waves, resonance, dispersive decay, and solutions to the compressible Euler equations with dense oscillations created by resonant interactions. Many fundamental results are presented for the first time in a textbook format. In addition to dense oscillations, these include the treatment of precise speed of propagation and the existence and stability questions for the three wave interaction equations. One of the strengths of this book is its careful motivation of ideas and proofs, showing how they evolve from related, simpler cases. This makes the book quite useful to both researchers and graduate students interested in hyperbolic partial differential equations. Numerous exercises encourage active participation of the reader. The author is a professor of mathematics at the University of Michigan. A recognized expert in partial differential equations, he has made important contributions to the transformation of three areas of hyperbolic partial differential equations: nonlinear microlocal analysis, the control of waves, and nonlinear geometric optics.

A Practical Guide to Experimental Geometrical Optics

Author : Yuriy A. Garbovskiy,Anatoliy V. Glushchenko
Publisher : Cambridge University Press
Page : 241 pages
File Size : 55,6 Mb
Release : 2017-12-28
Category : Science
ISBN : 9781107170940

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A Practical Guide to Experimental Geometrical Optics by Yuriy A. Garbovskiy,Anatoliy V. Glushchenko Pdf

A concise, yet deep introduction to geometrical optics, developing the practical skills and research techniques routinely used in modern laboratories. Suitable for both students and self-learners, this accessible text teaches readers how to build their own optical laboratory, and design and perform optical experiments.

Near the Horizon: An Invitation to Geometric Optics

Author : Henk W. Broer
Publisher : American Mathematical Soc.
Page : 163 pages
File Size : 52,8 Mb
Release : 2016-12-31
Category : Science
ISBN : 9780883851425

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Near the Horizon: An Invitation to Geometric Optics by Henk W. Broer Pdf

Near the Horizon starts out by considering several optical phenomena that can occur when the sun is near the horizon. One can sometimes see objects that are actually below the horizon. Sometimes there seems to be a dark strip in the middle of the solar disk. These are a result of the way that the atmosphere affects the geometry of light rays. Broer starts his book with the Fermat principle (rays of light take least-time paths) and deduces from it laws for refraction and reflection; by expressing these as conservation laws, he can handle both the case of inhomogeneous layers of air and the case of continuous variation in the refraction index. A surprising application is the brachistochrone problem, in which the path of fastest descent is determined by studying how a light ray would behave in a “flat earth” atmosphere whose refraction index is determined by the gravitational potential. This leads to a very interesting chapter on the cycloid and its properties. The final chapters move from the elementary theory to a more sophisticated version in which the Fermat Principle leads to a Riemannian metric whose geodesics are the paths of light rays. This gives us an optics which is geometric in a new sense, and serves as a nice demonstration of the physical applicability of Riemannian geometry.

Geometric, Physical, and Visual Optics

Author : Michael P. Keating
Publisher : Elsevier Health Sciences
Page : 594 pages
File Size : 47,7 Mb
Release : 1988-06-06
Category : Medical
ISBN : 9781483289465

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Geometric, Physical, and Visual Optics by Michael P. Keating Pdf

A basic optics textbook that integrates relevant visual and ophthalmic optics material with basic geometric and physical optics. Dr. Keating's book uses the vergence approach to optics as well as the wavefront approach to vergence as an aid to developing optics intuition.

University Physics

Author : OpenStax
Publisher : Unknown
Page : 622 pages
File Size : 48,9 Mb
Release : 2016-11-04
Category : Science
ISBN : 1680920456

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University Physics by OpenStax Pdf

University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

Optical Imaging and Aberrations: Ray geometrical optics

Author : Virendra N. Mahajan
Publisher : SPIE Press
Page : 476 pages
File Size : 51,8 Mb
Release : 1998
Category : Science
ISBN : 081942515X

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Optical Imaging and Aberrations: Ray geometrical optics by Virendra N. Mahajan Pdf

Based on the author's lectures at the University of Southern California, where he teaches a graduate course in optical imaging and aberrations, this volume provides an understanding of how aberrations arise in optical systems and how they affect imaging. Emphasis is placed on the primary aberrations of simple optical systems as a foundation for the design of more complex and high image-quality systems. Each chapter ends with a set of problems. A separate volume (Volume 2) treats imaging based on diffraction. Annotation copyrighted by Book News, Inc., Portland, OR

Geometric Optics

Author : J. Warren Blaker
Publisher : Unknown
Page : 154 pages
File Size : 52,7 Mb
Release : 1971
Category : Geometrical optics
ISBN : UOM:39076006379189

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Geometric Optics by J. Warren Blaker Pdf

Mirrors, Prisms and Lenses; a Text-book of Geometrical Optics

Author : James P. C. Southall
Publisher : Alpha Edition
Page : 618 pages
File Size : 41,6 Mb
Release : 2020-04-07
Category : Reference
ISBN : 9354011691

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Mirrors, Prisms and Lenses; a Text-book of Geometrical Optics by James P. C. Southall Pdf

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

Coherent X-Ray Optics

Author : David Paganin
Publisher : Oxford University Press on Demand
Page : 424 pages
File Size : 50,9 Mb
Release : 2006-01-12
Category : Medical
ISBN : 9780198567288

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Coherent X-Ray Optics by David Paganin Pdf

X-ray optics is undergoing a renaissance, which may be paralleled to that experienced by visible-light optics following the invention of the laser. The associated surge of activity in "coherent" x-ray optics has been documented in this monograph, the first of its type in the field.