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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
An Introduction to the Theory of Diffraction presents the fundamentals of diffraction theory. This book discusses other topics, such as absorption in cylindrical or slab-shaped specimens, which do not closely involve the fundamentals of diffraction. Organized into seven chapters, this book begins with an overview of the fundamentals of wave motion and a short account of the interaction of atoms with X-ray, electrons, and neutrons. This text then examines the differences between atomic scattering factors for the various radiations. Other chapters consider a number of problems in which the distribution of scattering sources is either one-dimensional in nature or can be reduced to one dimension. This book discusses as well the principle of superposition, which ensures that Fourier analysis has an application to diffraction theory. The final chapter deals with the importance of reciprocal lattice on the relation it bears to the crystal lattice. This book is a valuable resource for metallurgists.
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.
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.
Fundamentals and practical applications of diffraction for researchers, engineers, and students Materials science relies heavily on diffraction for the analysis of materials. Introduction to Diffraction in Materials Science and Engineering is a survey of the practical aspects of this valuable tool. Though it contains basic discussion of the theory and physics of diffraction, this book emphasizes understanding and the practical application of diffraction in materials science-making it a valuable text and resource for students, professionals, and researchers. Designed as a teaching and self-study text, this resource begins with a treatment of the fundamentals of crystallography and crystal structure and its importance in diffraction before moving on to cover important aspects of diffraction applications. Numerous examples and problems at the end of each chapter, including critical thinking questions, make this an excellent tool for learning and understanding. The book includes treatments of: * Basics of crystallography * Geometrical representation of crystals and reciprocal space * X-rays and neutrons * Structure factors and intensity * Powder diffraction * Qualitative (Powder Diffraction File) and quantitative phase analysis * Use of the International Tables for more complex structures and the Reitveld method * Residual stress * Introductions to texture, small diffracting units, and long-range order Aaron Krawitz provides both a practical introduction to diffraction that suits the needs of students and a resource for professionals already at work in materials science or engineering who want to utilize the power of diffraction in the study of materials.
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.
Rigorous graduate-level text stresses modern applications to nonstructural problems such as temperature vibration effects, order-disorder phenomena, crystal imperfections, more. Problems. Six Appendixes include tables of values. Bibliographies.
X-ray diffraction crystallography for powder samples is a well-established and widely used method. It is applied to materials characterization to reveal the atomic scale structure of various substances in a variety of states. The book deals with fundamental properties of X-rays, geometry analysis of crystals, X-ray scattering and diffraction in polycrystalline samples and its application to the determination of the crystal structure. The reciprocal lattice and integrated diffraction intensity from crystals and symmetry analysis of crystals are explained. To learn the method of X-ray diffraction crystallography well and to be able to cope with the given subject, a certain number of exercises is presented in the book to calculate specific values for typical examples. This is particularly important for beginners in X-ray diffraction crystallography. One aim of this book is to offer guidance to solving the problems of 90 typical substances. For further convenience, 100 supplementary exercises are also provided with solutions. Some essential points with basic equations are summarized in each chapter, together with some relevant physical constants and the atomic scattering factors of the elements.
Balancing concise mathematical analysis with real-world examples and practical applications, to provide a clear and approachable introduction to wave phenomena.