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Geometrical Optics Of Inhomogeneous Media
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Book Synopsis Geometrical Optics of Inhomogeneous Media by : Yurii Aleksandrovich Kravtsov
Download or read book Geometrical Optics of Inhomogeneous Media written by Yurii Aleksandrovich Kravtsov and published by Springer. This book was released on 1990-09-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the fundamentals of up-to-date geo metrical optics treated as an approximate method of wave theory. Geometrical optics has changed dramatically over the last two decades. Primarily, it has acquired a number of novel disciplines: space-time geo metrical optics, the quasi-isotropic approximation, the modern theory of caustics related to catastrophe theory, and perturbation techniques for rays, to name only a few. Another acquisition is the reliable boundaries of appli cability for geometrical optics, based upon the concept of the Fresnel volume for a ray. These recent additions to the field are the focus of dis cussion in the book. We did not attempt to separate study-oriented and illustrative material from that intended for professionals, but rather we spread it throughout the text to facilitate for the reader the mastering of this attractive, intuitively appealing and efficient ray method. In preparing the manuscript we used a set of lecture notes devised for All-Union Schools on Diffraction and Wave Propagation, published in Rus sian. Sections 2.1-4,6 and 10 result from joint efforts of both authors. The other material of the book we wrote separately. I contributed Sects. 2.5,9 and 3.17 and Chap.4; Yu.l. Orlov prepared the rest. Unfortunately, he could not take part in the preparation of the English edition, as he died in 1982 at the age of 41, on the verge of what would have been great achieve ments considering his strong and original talent.
Book Synopsis Geometrical Optics of Inhomogeneous Media by : Yury A. Kravtsov
Download or read book Geometrical Optics of Inhomogeneous Media written by Yury A. Kravtsov and published by Springer. This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the fundamentals of up-to-date geo metrical optics treated as an approximate method of wave theory. Geometrical optics has changed dramatically over the last two decades. Primarily, it has acquired a number of novel disciplines: space-time geo metrical optics, the quasi-isotropic approximation, the modern theory of caustics related to catastrophe theory, and perturbation techniques for rays, to name only a few. Another acquisition is the reliable boundaries of appli cability for geometrical optics, based upon the concept of the Fresnel volume for a ray. These recent additions to the field are the focus of dis cussion in the book. We did not attempt to separate study-oriented and illustrative material from that intended for professionals, but rather we spread it throughout the text to facilitate for the reader the mastering of this attractive, intuitively appealing and efficient ray method. In preparing the manuscript we used a set of lecture notes devised for All-Union Schools on Diffraction and Wave Propagation, published in Rus sian. Sections 2.1-4,6 and 10 result from joint efforts of both authors. The other material of the book we wrote separately. I contributed Sects. 2.5,9 and 3.17 and Chap.4; Yu.l. Orlov prepared the rest. Unfortunately, he could not take part in the preparation of the English edition, as he died in 1982 at the age of 41, on the verge of what would have been great achieve ments considering his strong and original talent.
Book Synopsis Geometrical Optics in Engineering Physics by : I︠U︡riĭ Aleksandrovich Kravt︠s︡ov
Download or read book Geometrical Optics in Engineering Physics written by I︠U︡riĭ Aleksandrovich Kravt︠s︡ov and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides concise and clear coverage of modern ray theory without the need of complicated mathematics. Comprehensive coverage is given to wave problems in engineering physics, considering rays and caustics as physical objects.
Book Synopsis Geometrical Optics of Weakly Anisotropic Media by : AA Fuki
Download or read book Geometrical Optics of Weakly Anisotropic Media written by AA Fuki and published by Routledge. This book was released on 2019-07-16 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently, there was no effective method for describing waves in weakly anisotropic inhomogeneous media. The method of quasi-isotropic approximation (QIA) of geometrical optics was developed to overcome this problem. The QIA approach bridges the gap between geometrical optics of isotropic media (Rytov method) and that of anisotropic media (Courant-Lax approach). thus providing a complete picture of the geometrical optics of inhomogeneous media. The book explores recent developments in QIA and describes the application of the theory to different branches of wave physics, from plasma physics. quantum physics and ionospheric radio wave propagation to acoustics, optics and astrophysics. The authors present some modifications and generalisations of QIA equations, and look at electromagnetic waves and optical and acoustic effects in weakly anisotropic media, as well as geometrical optics of 3D inhomogeneous media. The book closes with some quantum mechanical analogies. This is an up-to-the minute exposition of the latest developments in an important new area, written by authors of outstanding international reputation. A rich source of both theoretical methods and practical applications, this book covers a wide range of problems of general physical significance and will be of interest to those working in optics, acoustics, electrical engineering, radio engineering and wave propagation through plasma.
Book Synopsis Diffraction in Inhomogeneous Media (Classic Reprint) by : Bernard D. Seckler
Download or read book Diffraction in Inhomogeneous Media (Classic Reprint) written by Bernard D. Seckler and published by . This book was released on 2015-08-04 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction in Inhomogeneous Media In Part I, a geometric method is given for finding the field in inhomogeneous media containing smooth convex bodies. The field due to a plane wave in an unbounded medium is constructed by introducing complex rays in the refraction shadow. By extending Fermat's principle, we explain the occurrence of certain diffracted rays in the boundary problems. By then modifying the law of conservation of energy, we obtain the field along the diffracted rays in addition to the field in the geometric lit region. Certain diffraction coefficients and decay exponents are introduced and general formulas are obtained for them. The theory is then applied to several problems in which the medium is plane or cylindrically stratified and the boundary planar or circular. In Part II, we determine expressions for the exact solution to various boundary value problems corresponding to the special problems of Part I. Asymptotic forms are obtained by using the method of stationary phase in conjunction with the MKB method and Watson transformations. In all cases, we compare the results of Part I with these asymptotic expansions and find that the two are in agreement. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Geometrical Optics of Inhomogeneous Media by : Yurii Aleksandrovich Kravtsov
Download or read book Geometrical Optics of Inhomogeneous Media written by Yurii Aleksandrovich Kravtsov and published by Springer. This book was released on 1990-09-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the fundamentals of up-to-date geo metrical optics treated as an approximate method of wave theory. Geometrical optics has changed dramatically over the last two decades. Primarily, it has acquired a number of novel disciplines: space-time geo metrical optics, the quasi-isotropic approximation, the modern theory of caustics related to catastrophe theory, and perturbation techniques for rays, to name only a few. Another acquisition is the reliable boundaries of appli cability for geometrical optics, based upon the concept of the Fresnel volume for a ray. These recent additions to the field are the focus of dis cussion in the book. We did not attempt to separate study-oriented and illustrative material from that intended for professionals, but rather we spread it throughout the text to facilitate for the reader the mastering of this attractive, intuitively appealing and efficient ray method. In preparing the manuscript we used a set of lecture notes devised for All-Union Schools on Diffraction and Wave Propagation, published in Rus sian. Sections 2.1-4,6 and 10 result from joint efforts of both authors. The other material of the book we wrote separately. I contributed Sects. 2.5,9 and 3.17 and Chap.4; Yu.l. Orlov prepared the rest. Unfortunately, he could not take part in the preparation of the English edition, as he died in 1982 at the age of 41, on the verge of what would have been great achieve ments considering his strong and original talent.
Book Synopsis Lagrangian Optics by : V. Lakshminarayanan
Download or read book Lagrangian Optics written by V. Lakshminarayanan and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems.
Book Synopsis Diffraction in Inhomogeneous Media by : Bernard D Seckler
Download or read book Diffraction in Inhomogeneous Media written by Bernard D Seckler and published by Franklin Classics. This book was released on 2018-10-15 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis The Optics of Rays, Wavefronts, and Caustics by : O Stavroudis
Download or read book The Optics of Rays, Wavefronts, and Caustics written by O Stavroudis and published by Elsevier. This book was released on 2012-12-02 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Optics of Rays, Wavefronts, and Caustics presents the fundamental principles of geometrical optics and its unique role in modern technology. It also discusses the procedures used in optical design, which are based on geometrical optics. Organized into 16 chapters, this volume begins with an overview of the underlying general mathematical facts, which constitute the substance of geometrical optics. It then presents the various techniques used to solve the ray and wavefront problems in general inhomogeneous medium. Other chapters consider the concept of ray tracing as a tool for calculating the principal curvatures of a wavefront as it propagates through a lens. In addition, the book tackles several topics, including the aspects of lens design, as well as a system of equations that are similar to the Maxwell equations. The last chapter deals with orthotomic systems of rays. Optical designers, optical physicists, theoretical physicists, and mathematicians will find the information and methods in this book extremely useful.
Download or read book Principles of Optics written by Max Born and published by Elsevier. This book was released on 2013-06-01 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Sixth Edition covers optical phenomenon that can be treated with Maxwell’s phenomenological theory. The book is comprised of 14 chapters that discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals. The text covers the elements of the theories of interference, interferometers, and diffraction. The book tackles several behaviors of light, including its diffraction when exposed to ultrasonic waves. The selection will be most useful to researchers whose work involves understanding the behavior of light.
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.
Book Synopsis Wave Propagation in Random Media by : Joseph Bishop Keller
Download or read book Wave Propagation in Random Media written by Joseph Bishop Keller and published by . This book was released on 1960 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Imaging and Electron Physics by :
Download or read book Advances in Imaging and Electron Physics written by and published by Academic Press. This book was released on 2014-07-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Imaging & Electron Physics merges two long-running serials—Advances in Electronics & Electron Physics and Advances in Optical & Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. Contributions from leading authorities Informs and updates on all the latest developments in the field
Book Synopsis Short Wave Radiation Problems in Inhomogeneous Media by : C. O. Bloom
Download or read book Short Wave Radiation Problems in Inhomogeneous Media written by C. O. Bloom and published by Springer. This book was released on 2006-11-14 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electromagnetic Scintillation: Volume 1, Geometrical Optics by : Albert D. Wheelon
Download or read book Electromagnetic Scintillation: Volume 1, Geometrical Optics written by Albert D. Wheelon and published by Cambridge University Press. This book was released on 2001-09-06 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volumes that make up this book provide a modern reference and comprehensive tutorial to the subject, treating both optical and microwave propagation. This first volume deals with phase and angle-of-arrival measurement errors.
Book Synopsis Caustics, Catastrophes and Wave Fields by : Yu.A. Kravtsov
Download or read book Caustics, Catastrophes and Wave Fields written by Yu.A. Kravtsov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.
Download or read book Principles of Optics written by Max Born and published by Cambridge University Press. This book was released on 2019-12-19 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Optics is one of the most highly cited and most influential physics books ever published, and one of the classic science books of the twentieth century. To celebrate the 60th anniversary of this remarkable book's first publication, the seventh expanded edition has been reprinted with a special foreword by Sir Peter Knight. The seventh edition was the first thorough revision and expansion of this definitive text. Amongst the material introduced in the seventh edition is a section on CAT scans, a chapter on scattering from inhomogeneous media, including an account of the principles of diffraction tomography, an account of scattering from periodic potentials, and a section on the so-called Rayleigh–Sommerfield diffraction theory. This expansive and timeless book continues to be invaluable to advanced undergraduates, graduate students and researchers working in all areas of optics.
