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Mathematical Theory of Diffraction

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Author :
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis Mathematical Theory of Diffraction by : Arnold Sommerfeld

Download or read book Mathematical Theory of Diffraction written by Arnold Sommerfeld. This book was released on 2004. 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.

Fundamentals of the Physical Theory of Diffraction

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Release : 2007-02-09
Genre : Science
Kind : eBook
Book Rating : 009/5 ( reviews)

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Book Synopsis Fundamentals of the Physical Theory of Diffraction by : Pyotr Ya. Ufimtsev

Download or read book Fundamentals of the Physical Theory of Diffraction written by Pyotr Ya. Ufimtsev. This book was released on 2007-02-09. 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.

Powder Diffraction

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Author :
Release : 1995
Genre :
Kind : eBook
Book Rating : 324/5 ( reviews)

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Book Synopsis Powder Diffraction by :

Download or read book Powder Diffraction written by . This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory for Diffraction Gratings

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 301/5 ( reviews)

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Book Synopsis Scattering Theory for Diffraction Gratings by : Calvin H. Wilcox

Download or read book Scattering Theory for Diffraction Gratings written by Calvin H. Wilcox. This book was released on 2012-12-06. 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.

X-Ray Multiple-Wave Diffraction

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Release : 2013-04-17
Genre : Science
Kind : eBook
Book Rating : 840/5 ( reviews)

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Book Synopsis X-Ray Multiple-Wave Diffraction by : Shih-Lin Chang

Download or read book X-Ray Multiple-Wave Diffraction written by Shih-Lin Chang. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: X-ray multiple-wave diffraction, sometimes called multiple diffraction or N-beam diffraction, results from the scattering of X-rays from periodic two or higher-dimensional structures, like 2-d and 3-d crystals and even quasi crystals. The interaction of the X-rays with the periodic arrangement of atoms usually provides structural information about the scatterer. Unlike the usual Bragg reflection, the so-called two-wave diffraction, the multiply diffracted intensities are sensitive to the phases of the structure factors in volved. This gives X-ray multiple-wave diffraction the chance to solve the X-ray phase problem. On the other hand, the condition for generating an X ray multiple-wave diffraction is much more strict than in two-wave cases. This makes X-ray multiple-wave diffraction a useful technique for precise measure ments of crystal lattice constants and the wavelength of radiation sources. Recent progress in the application of this particular diffraction technique to surfaces, thin films, and less ordered systems has demonstrated the diver sity and practicability of the technique for structural research in condensed matter physics, materials sciences, crystallography, and X-ray optics. The first book on this subject, Multiple Diffraction of X-Rays in Crystals, was published in 1984, and intended to give a contemporary review on the fundamental and application aspects of this diffraction.

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