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Mathematical Theory of Diffraction

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 965/5 ( 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 2012-12-06. 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.

The Mathematical Theory of Huygens' Principle

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 789/5 ( reviews)

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Book Synopsis The Mathematical Theory of Huygens' Principle by : Bevan B. Baker

Download or read book The Mathematical Theory of Huygens' Principle written by Bevan B. Baker. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Baker and Copson originally set themselves the task of writing a definitive text on partial differential equations in mathematical physics. However, at the time, the subject was changing rapidly and greatly, particularly via the developments coming from quantum mechanics. Instead, the authors chose to focus on a particular area of the broad theory, producing a monograph complete in itself. The resulting book deals with Huygens' principle in optics and its application to the theory of diffraction. Baker and Copson concern themselves with the general theory of the solution of the PDEs governing the propagation of light. Extensive use is made of Green's method. A chapter is dedicated to Sommerfeld's theory of diffraction, including diffraction of polarized light by a perfectly reflecting half-plane and by a black half-plane. New material was added for subsequent editions, notably Rayleigh's method of integral equations to the problem of diffraction by a planar screen. Some of the simpler diffraction problems are discussed as examples. Baker and Copson's book quickly became the standard reference on the subject of Huygens' principle. It remains so today.

Equations of Mathematical Diffraction Theory

2004-09-29 Science
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Release : 2004-09-29
Genre : Science
Kind : eBook
Book Rating : 488/5 ( reviews)

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Book Synopsis Equations of Mathematical Diffraction Theory by : Mezhlum A. Sumbatyan

Download or read book Equations of Mathematical Diffraction Theory written by Mezhlum A. Sumbatyan. This book was released on 2004-09-29. 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.

Fundamentals of the Physical Theory of Diffraction

2007-02-09 Science
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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.

The Mathematical Theory of Huygens' Principle

1939
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Release : 1939
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Book Synopsis The Mathematical Theory of Huygens' Principle by : Bevan Braithwaite BAKER (and COPSON (Edward Thomas))

Download or read book The Mathematical Theory of Huygens' Principle written by Bevan Braithwaite BAKER (and COPSON (Edward Thomas)). This book was released on 1939. Available in PDF, EPUB and Kindle. Book excerpt:

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