Diffraction In Inhomogeneous Media

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Diffraction in Inhomogeneous Media

Bernard D Seckler,Joseph B Keller
Diffraction in Inhomogeneous Media Book PDF

Author : Bernard D Seckler,Joseph B Keller
Publisher : Legare Street Press
Page : 0 pages
File Size : 51,5 Mb
Release : 2023-07-18
Category : Electronic
ISBN : 1021437115

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Diffraction in Inhomogeneous Media by Bernard D Seckler,Joseph B Keller Pdf

This book provides a comprehensive study of diffraction in inhomogeneous media. It covers the basic principles of diffraction theory and provides detailed examples of its applications. This book is essential for physicists, engineers, and researchers working in optics and electromagnetics. 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Diffraction in Inhomogeneous Media (Classic Reprint)

Bernard D. Seckler
Diffraction in Inhomogeneous Media Classic Reprint Book PDF

Author : Bernard D. Seckler
Publisher : Unknown
Page : 82 pages
File Size : 45,7 Mb
Release : 2015-08-04
Category : Mathematics
ISBN : 133212075X

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Diffraction in Inhomogeneous Media (Classic Reprint) by Bernard D. Seckler Pdf

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.

Geometrical Optics of Inhomogeneous Media

Yury A. Kravtsov,Yury I. Orlov
Geometrical Optics of Inhomogeneous Media Book PDF

Author : Yury A. Kravtsov,Yury I. Orlov
Publisher : Springer
Page : 0 pages
File Size : 49,5 Mb
Release : 1990
Category : Science
ISBN : 3642840310

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Geometrical Optics of Inhomogeneous Media by Yury A. Kravtsov,Yury I. Orlov Pdf

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.

Geometrical Optics of Inhomogeneous Media

Yurii Aleksandrovich Kravtsov
Geometrical Optics of Inhomogeneous Media Book PDF

Author : Yurii Aleksandrovich Kravtsov
Publisher : Springer
Page : 336 pages
File Size : 52,9 Mb
Release : 1990-09-10
Category : Science
ISBN : STANFORD:36105030010461

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Geometrical Optics of Inhomogeneous Media by Yurii Aleksandrovich Kravtsov Pdf

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.

Principles of Optics

Max Born,Emil Wolf
Principles of Optics Book PDF

Author : Max Born,Emil Wolf
Publisher : CUP Archive
Page : 996 pages
File Size : 49,6 Mb
Release : 2000-02-28
Category : Science
ISBN : 0521784492

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Principles of Optics by Max Born,Emil Wolf Pdf

Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years. The new edition is the first ever thoroughly revised and expanded edition of this standard text. Among the new material, much of which is not available in any other optics text, is a section on the CAT scan (computerized axial tomography), which has revolutionized medical diagnostics. The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series. The chapter also presents an account of the principles of diffraction tomography - a refinement of the CAT scan - to which Emil Wolf, one of the authors, has made a basic contribution by formulating in 1969 what is generally regarded to be the basic theorem in this field. The chapter also includes an account of scattering from periodic potentials and its connection to the classic subject of determining the structure of crystals from X-ray diffraction experiments, including accounts of von Laue equations, Bragg's law, the Ewald sphere of reflection and the Ewald limiting sphere, both generalized to continuous media. These topics, although originally introduced in connection with the theory of X-ray diffraction by crystals, have since become of considerable relevance to optics, for example in connection with deep holograms. Other new topics covered in this new edition include interference with broad-band light, which introduces the reader to an important phenomenon discovered relatively recently by Emil Wolf, namely the generation of shifts of spectral lines and other modifications of spectra of radiated fields due to the state of coherence of a source. There is also a section on the so-called Rayleigh-Sommerfield diffraction theory which, in recent times, has been finding increasing popularity among optical scientists. There are also several new appendices, including one on energy conservation in scalar wavefields, which is seldom discussed in books on optics. The new edition of this standard reference will continue to be invaluable to advanced undergraduates, graduate students and researchers working in most areas of optics.

Scattering and Diffraction in Physical Optics , 2nd Edition

Manuel Nieto-Vesperinas
Scattering and Diffraction in Physical Optics 2nd Edition Book PDF

Author : Manuel Nieto-Vesperinas
Publisher : World Scientific Publishing Company
Page : 456 pages
File Size : 43,6 Mb
Release : 2006-06-01
Category : Science
ISBN : 9789813106529

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Scattering and Diffraction in Physical Optics , 2nd Edition by Manuel Nieto-Vesperinas Pdf

This book presents a comprehensive tutorial on propagation, diffraction and scattering problems from the basic principles of physical optics. Beginning with the fundamental differential and integral equations for wavefields, the text presents an exhaustive discussion on the extinction theorem as a non-local boundary condition; this has been extensively employed for the rigorous solution of scattering and diffraction problems. There is also an in-depth presentation of the topic of scattering from rough surfaces, in particular the phenomenon of enhanced backscattering, as well as a detailed development of the angular spectrum representation of fields leading to questions on non-diffraction beams. Of key interest in near field optical microscopy and nanooptics, the S-matrix theory based on the angular spectrum for propagating components and the recently discovered properties of the S-matrix for evanescent components of wavefields are considered. In addition, the book deals with the healing effect of phase conjugation on waves, and focuses on some applications concerning the relationship with time reversal. Readers will also find discussions on image recovery from partial information data (phase problems and super-resolution problems), as well as a chapter on the fundamentals of near field optical microscopy techniques, including the hot topic of propagation in negative index media.

Scattering and Diffraction in Physical Optics

M. Nieto-Vesperinas
Scattering and Diffraction in Physical Optics Book PDF

Author : M. Nieto-Vesperinas
Publisher : World Scientific Publishing Company
Page : 464 pages
File Size : 47,8 Mb
Release : 2006
Category : Science
ISBN : UCSD:31822034715979

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Scattering and Diffraction in Physical Optics by M. Nieto-Vesperinas Pdf

This book presents a comprehensive tutorial on propagation, diffraction and scattering problems from the basic principles of physical optics. Beginning with the fundamental differential and integral equations for wavefields, the text presents an exhaustive discussion on the extinction theorem as a non-local boundary condition; this has been extensively employed for the rigorous solution of scattering and diffraction problems.There is also an in-depth presentation of the topic of scattering from rough surfaces, in particular the phenomenon of enhanced backscattering, as well as a detailed development of the angular spectrum representation of fields leading to questions on non-diffraction beams. Of key interest in near field optical microscopy and nanooptics, the S-matrix theory based on the angular spectrum for propagating components and the recently discovered properties of the S-matrix for evanescent components of wavefields are considered. In addition, the book deals with the healing effect of phase conjugation on waves, and focuses on some applications concerning the relationship with time reversal.Readers will also find discussions on image recovery from partial information data (phase problems and super-resolution problems), as well as a chapter on the fundamentals of near field optical microscopy techniques, including the hot topic of propagation in negative index media.

Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition

Anonim
Issues in Optics Light Laser Infrared and Photonic Technology 2011 Edition Book PDF

Author : Anonim
Publisher : ScholarlyEditions
Page : 821 pages
File Size : 45,7 Mb
Release : 2012-01-09
Category : Technology & Engineering
ISBN : 9781464965135

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Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition by Anonim Pdf

Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Optics, Light, Laser, Infrared, and Photonic Technology. The editors have built Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Optics, Light, Laser, Infrared, and Photonic Technology in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Seismic Waves in Laterally Inhomogeneous Media

Vlastislav Cerveny
Seismic Waves in Laterally Inhomogeneous Media Book PDF

Author : Vlastislav Cerveny
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 48,6 Mb
Release : 1996-11
Category : Gardening
ISBN : 3764356480

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Seismic Waves in Laterally Inhomogeneous Media by Vlastislav Cerveny Pdf

Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 148 (1996), No. 1/2

Wolf Prize in Mathematics

Shiing-Shen Chern,Friedrich Hirzebruch
Wolf Prize in Mathematics Book PDF

Author : Shiing-Shen Chern,Friedrich Hirzebruch
Publisher : World Scientific
Page : 780 pages
File Size : 47,9 Mb
Release : 2000
Category : Mathematics
ISBN : 9810239459

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Wolf Prize in Mathematics by Shiing-Shen Chern,Friedrich Hirzebruch Pdf

This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners. This is the first time that lectures by some Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.

Principles of Optics

Max Born,Emil Wolf
Principles of Optics Book PDF

Author : Max Born,Emil Wolf
Publisher : Elsevier
Page : 836 pages
File Size : 55,8 Mb
Release : 2013-06-01
Category : Science
ISBN : 9781483103204

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Principles of Optics by Max Born,Emil Wolf Pdf

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.

Principles of Optics

Max Born,Emil Wolf
Principles of Optics Book PDF

Author : Max Born,Emil Wolf
Publisher : Pergamon
Page : 862 pages
File Size : 55,7 Mb
Release : 1980
Category : Electromagnetic theory
ISBN : UCSD:31822005121744

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Principles of Optics by Max Born,Emil Wolf Pdf

Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past forty years. This edition has been thoroughly revised and updated, with new material covering the CAT scan, interference with broad-band light and the so-called Rayleigh-Sommerfeld diffraction theory. This edition also details scattering from inhomogeneous media and presents an account of the principles of diffraction tomography to which Emil Wolf has made a basic contribution. Several new appendices are also included. This new edition will be invaluable to advanced undergraduates, graduate students and researchers working in most areas of optics.

A Celebration of Mathematical Modeling

Dan Czamanski,Marcus J. Grote,George Papanicolaou
A Celebration of Mathematical Modeling Book PDF

Author : Dan Czamanski,Marcus J. Grote,George Papanicolaou
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 47,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401704274

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A Celebration of Mathematical Modeling by Dan Czamanski,Marcus J. Grote,George Papanicolaou Pdf

ThisvolumecelebratestheeightiethbirthdayofJosephB. Keller. The authors who contributed to this volume belong to what can be called the “Keller school of applied mathematics. ” They are former students, postdoctoral fellows and visiting scientists who have collaborated with Joe (some of them still do) during his long career. They all look at Joe as their ultimate (role) model. JoeKeller’sdistinguishedcareerhasbeendividedbetweentheCourant Institute of Mathematical Sciences at New York University, where he received all his degrees (his PhD adviser being the great R. Courant himself) and served as a professor for 30 years, and Stanford University, where he has been since 1978. The appended photos highlight some scenes from the old days. Those who know Joe Keller’s work have been always amazed by its diversity and breadth. It is considered a well-known truth that there is not a single important area in applied mathematics or physics which Keller did not contribute to. This can be appreciated, for example, by glancing through his list of publication included in this volume. App- priately, the papers in this book, written with Joe’s inspiration, cover a variety of application areas; together they span the broad subject of mathematical modeling. The models discussed in the book describe the behavior of various systems such as those related to ?nance, waves, - croorganisms, shocks, DNA, ?ames, contact, optics, ?uids, bubbles and jets. Joe’s activity includes many more areas, which unfortunately are not represented here.

Geometrical Theory of Diffraction

Vladimir Andreevich Borovikov,Boris Evseevich Kinber
Geometrical Theory of Diffraction Book PDF

Author : Vladimir Andreevich Borovikov,Boris Evseevich Kinber
Publisher : IET
Page : 408 pages
File Size : 48,5 Mb
Release : 1994
Category : Mathematics
ISBN : 0852968302

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Geometrical Theory of Diffraction by Vladimir Andreevich Borovikov,Boris Evseevich Kinber Pdf

This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.

Electromagnetic Wave Theory

J. C. Brown
Electromagnetic Wave Theory Book PDF

Author : J. C. Brown
Publisher : Elsevier
Page : 566 pages
File Size : 52,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483185927

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Electromagnetic Wave Theory by J. C. Brown Pdf

Electromagnetic Wave Theory, Part 2 contains the proceedings of a Symposium on Electromagnetic Wave Theory held at Delft, The Netherlands in September 1965. The symposium provided a forum for discussing electromagnetic wave theory and tackled a wide range of topics, from propagation in nonlinear media to electromagnetic wave propagation and amplification in solid-state plasmas. Electromagnetic waves in nonlinear transmission lines with active parameters are also considered, along with the phase dependence of maser active material Q-factor on pump intensity and frequency. Comprised of four sections, this volume begins with an analysis of two modes of propagation that are coupled through parametric modulation in nonlinear media. The discussion then turns to symmetry restrictions in nonlinear, non-absorbing, non-dispersive media; nonlinear interaction between two beams of plane electromagnetic waves in an anisotropic medium; radiation in periodically non-stationary media; and electromagnetic wave propagation in time-varying media. Subsequent chapters explore the diffraction of electromagnetic waves by plasma structures; resonant electromagnetic scattering from gyrotropic plasmas; scattering and transmission of electromagnetic waves at a statistically rough boundary between two dielectric media; and developments in wavefront reconstruction. This book will be useful for students, practitioners, and researchers in physics.