Download or read book Fundamentals of the Physical Theory of Diffraction written by Pyotr Ya. Ufimtsev and published by John Wiley & Sons. This book was released on 2007-02-09 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first complete and comprehensive description of the modern Physical Theory of Diffraction (PTD) based on the concept of elementary edge waves (EEWs). The theory is demonstrated with the example of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. The derived analytic expressions clearly explain the physical structure of the scattered field and describe in detail all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a new fundamental component of the field, is introduced and proven to contain half of the total scattered power.
Download or read book Mathematical Theory of Diffraction written by Arnold Sommerfeld and published by Springer Science & Business Media. This book was released on 2004 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A. Sommerfeld's "Mathematische Theorie der Diffraction" marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader.
Download or read book Scattering Theory for Diffraction Gratings written by Calvin H. Wilcox and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scattering of acoustic and electromagnetic waves by periodic sur faces plays a role in many areas of applied physics and engineering. Opti cal diffraction gratings date from the nineteenth century and are still widely used by spectroscopists. More recently, diffraction gratings have been used as coupling devices for optical waveguides. Trains of surface waves on the oceans are natural diffraction gratings which influence the scattering of electromagnetic waves and underwater sound. Similarly, the surface of a crystal acts as a diffraction grating for the scattering of atomic beams. This list of natural and artificial diffraction gratings could easily be extended. The purpose of this monograph is to develop from first principles a theory of the scattering of acoustic and electromagnetic waves by periodic surfaces. In physical terms, the scattering of both time-harmonic and transient fields is analyzed. The corresponding mathematical model leads to the study of boundary value problems for the Helmholtz and d'Alembert wave equations in plane domains bounded by periodic curves. In the formal ism adopted here these problems are intimately related to the spectral analysis of the Laplace operator, acting in a Hilbert space of functions defined in the domain adjacent to the grating.
Download or read book X Ray Multiple Wave Diffraction written by Shih-Lin Chang and published by Springer Science & Business Media. This book was released on 2004-06-24 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text describes the fundamentals of X-ray multiple-wave interaction in crystals and its applications in condensed matter physics and crystallography. It covers current theoretical approaches and application methods for many materials, including macromolecular crystals, thin films, semiconductors, quasicrystals and nonlinear optical materials. X-ray optics is also addressed. Designed primarily as a reference for researchers in condensed matter, crystallography, materials science, and synchrotron-related topics, the book will also be useful as a textbook for graduate and senior-year undergraduate courses on special topics in X-ray diffraction.
Download or read book Geometrical Theory of Diffraction written by Vladimir Andreevich Borovikov and published by IET. This book was released on 1994 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.
Download or read book Introduction to the Uniform Geometrical Theory of Diffraction written by Derek A. McNamara and published by Artech House on Demand. This book was released on 1990-01-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for senior undergraduate or beginning graduate students, as well as practicing engineers, that bridges the gap between specialist papers and the use of GTD in practical problems. It introduces the principal results and concepts, their various parameters, and applications to a wide variety of
Download or read book Classical and Modern Diffraction Theory written by Kamill Klem-Musatov and published by SEG Books. This book was released on 2016-06-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.
Download or read book Equations of Mathematical Diffraction Theory written by Mezhlum A. Sumbatyan and published by CRC Press. This book was released on 2004-09-29 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.
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 871 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.
Download or read book Seismic Diffraction written by Tijmen Jan Moser and published by SEG Books. This book was released on 2016-06-30 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of diffraction imaging to complement the seismic reflection method is rapidly gaining momentum in the oil and gas industry. As the industry moves toward exploiting smaller and more complex conventional reservoirs and extensive new unconventional resource plays, the application of the seismic diffraction method to image sub-wavelength features such as small-scale faults, fractures and stratigraphic pinchouts is expected to increase dramatically over the next few years. “Seismic Diffraction” covers seismic diffraction theory, modeling, observation, and imaging. Papers and discussion include an overview of seismic diffractions, including classic papers which introduced the potential of diffraction phenomena in seismic processing; papers on the forward modeling of seismic diffractions, with an emphasis on the theoretical principles; papers which describe techniques for diffraction mathematical modeling as well as laboratory experiments for the physical modeling of diffractions; key papers dealing with the observation of seismic diffractions, in near-surface-, reservoir-, as well as crustal studies; and key papers on diffraction imaging.
Download or read book Dynamical Theory of X ray Diffraction written by André Authier and published by Oxford University Press, USA. This book was released on 2004 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Diffraction Theory written by V. M. Babich and published by Alpha Science International, Limited. This book was released on 2008 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains the detailed descriptions of the Sommerfeld-Malyuzhinets technique and the related mathematical aspects.
Download or read book Aperture Antennas and Diffraction Theory written by Edward V. Jull and published by IET. This book was released on 1981 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two alternative methods of aperture antenna analysis are described in this book.
Download or read book Theory of Edge Diffraction in Electromagnetics written by Pyotr Yakovlevich Ufimtsev and published by IET. This book was released on 2009-06-30 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book includes in revised form materials from certain articles by the author and Chapters 1, 4, 6, and 7 of his book on PTD [Metod kraevykh voln v fizicheskoi? teorii difrakt?s?ii]"--Page xv. Revision of title published: Encino, Calif. : Tech Science Press, 2003, in series: Contemporary research on emerging sciences and technology. Supplements Fundamental of the physical theory of diffraction (Wiley, 2007)--P. 4 of cover.
Download or read book Applied Frequency Domain Electromagnetics written by Robert Paknys and published by John Wiley & Sons. This book was released on 2016-09-19 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding electromagnetic wave theory is pivotal in the design of antennas, microwave circuits, radars, and imaging systems. Researchers behind technology advances in these and other areas need to understand both the classical theory of electromagnetics as well as modern and emerging techniques of solving Maxwell's equations. To this end, the book provides a graduate-level treatment of selected analytical and computational methods. The analytical methods include the separation of variables, perturbation theory, Green's functions, geometrical optics, the geometrical theory of diffraction, physical optics, and the physical theory of diffraction. The numerical techniques include mode matching, the method of moments, and the finite element method. The analytical methods provide physical insights that are valuable in the design process and the invention of new devices. The numerical methods are more capable of treating general and complex structures. Together, they form a basis for modern electromagnetic design. The level of presentation allows the reader to immediately begin applying the methods to some problems of moderate complexity. It also provides explanations of the underlying theories so that their capabilities and limitations can be understood.
Download or read book X Ray and Neutron Dynamical Diffraction written by André Authier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the proceedings of the 23rd International Course of Crystallography, entitled "X-ray and Neutron Dynamical Diffraction, Theory and Applications," which took place in the fascinating setting of Erice in Sicily, Italy. It was run as a NATO Advanced Studies Institute with A. Authier (France) and S. Lagomarsino (Italy) as codirectors, and L. Riva di Sanseverino and P. Spadon (Italy) as local organizers, R. Colella (USA) and B. K. Tanner (UK) being the two other members of the organizing committee. It was attended by about one hundred participants from twenty four different countries. Two basic theories may be used to describe the diffraction of radiation by crystalline matter. The first one, the so-called geometrical, or kinematical theory, is approximate and is applicable to small, highly imperfect crystals. It is used for the determination of crystal structures and describes the diffraction of powders and polycrystalline materials. The other one, the so-called dynamical theory, is applicable to perfect or nearly perfect crystals. For that reason, dynamical diffraction of X-rays and neutrons constitutes the theoretical basis of a great variety of applications such as: • the techniques used for the characterization of nearly perfect high technology materials, semiconductors, piezoelectric, electrooptic, ferroelectric, magnetic crystals, • the X-ray optical devices used in all modem applications of Synchrotron Radiation (EXAFS, High Resolution X-ray Diffractometry, magnetic and nuclear resonant scattering, topography, etc. ), and • X-ray and neutron interferometry.
Download or read book Waves in Focal Regions written by J.J Stamnes and published by Routledge. This book was released on 2017-11-13 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume. After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments.
