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Author: Pyotr Ya. Ufimtsev Publisher: John Wiley & Sons ISBN: 0470109009 Category : Science Languages : en Pages : 349
Book Description
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.
Author: Pyotr Ya. Ufimtsev Publisher: John Wiley & Sons ISBN: 0470109009 Category : Science Languages : en Pages : 349
Book Description
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.
Author: Arnold Sommerfeld Publisher: Springer Science & Business Media ISBN: 9780817636043 Category : Mathematics Languages : en Pages : 172
Book Description
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.
Author: Calvin H. Wilcox Publisher: Springer Science & Business Media ISBN: 1461211301 Category : Mathematics Languages : en Pages : 172
Book Description
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.
Author: Max Born Publisher: Elsevier ISBN: 148310320X Category : Science Languages : en Pages : 871
Book Description
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.
Author: Mezhlum A. Sumbatyan Publisher: CRC Press ISBN: 0203643488 Category : Science Languages : en Pages : 307
Book Description
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.
Author: Shih-Lin Chang Publisher: Springer Science & Business Media ISBN: 9783540211969 Category : Science Languages : en Pages : 458
Book Description
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.
Author: Pyotr Ya. Ufimtsev Publisher: John Wiley & Sons ISBN: 1118848691 Category : Science Languages : en Pages : 496
Book Description
The book is a complete, comprehensive description of the modern Physical Theory of Diffraction (PTD) based upon the concept of elementary edge waves. The theory is demonstrated with examples of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. Readers develop the skills to apply PTD to solve various scattering problems. The derived analytic expressions clearly illustrate the physical structure of the scattered field. They additionally describe all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a fundamental component of PTD, is introduced and proven to contain half the total scattered power. The equivalence relationships between acoustic and electromagnetic diffracted waves are established and emphasized. Throughout the book, the author enables readers to master both the theory and its practical applications. Plotted numeric results supplement the theory and facilitate the visualization of individual contributions of distinct parts of the scattering objects to the total diffracted field Detailed comments help readers understand and implement all the critical steps of the analytic and numeric calculations Problem sets in each chapter give readers an opportunity to analyse and investigate the diffraction phenomena
Author: Pyotr Ya. Ufimtsev
Author: Pyotr Ya. Ufimtsev
Author: Arnold Sommerfeld
Author: Calvin H. Wilcox
Author: 
Author: Max Born
Author: Vladimir Andreevich Borovikov
Author: Mezhlum A. Sumbatyan
Author: Shih-Lin Chang
Author: Pyotr Ya. Ufimtsev
Author: Edward V. Jull