Geometrical Theory of Diffraction

Geometrical Theory of Diffraction
Author: Vladimir Andreevich Borovikov
Publisher: IET
Total Pages: 408
Release: 1994
Genre: Mathematics
ISBN: 9780852968307

This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.

Geometrical Theory of Diffraction for Electromagnetic Waves

Geometrical Theory of Diffraction for Electromagnetic Waves
Author: Graeme L. James
Publisher: IET
Total Pages: 312
Release: 1986
Genre: Science
ISBN: 9780863410628

The purpose of the book, apart from expounding the Geometrical Theory of Diffraction (GTD) method, is to present useful formulations that can be readily applied to solve practical engineering problems.

Introduction to the Uniform Geometrical Theory of Diffraction

Introduction to the Uniform Geometrical Theory of Diffraction
Author: Derek A. McNamara
Publisher: Artech House on Demand
Total Pages: 471
Release: 1990-01-01
Genre: Science
ISBN: 9780890063019

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

Classical and Modern Diffraction Theory

Classical and Modern Diffraction Theory
Author: Kamill Klem-Musatov
Publisher: SEG Books
Total Pages: 341
Release: 2016-06-30
Genre: Science
ISBN: 1560803223

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.

Principles of Optics

Principles of Optics
Author: Max Born
Publisher: Elsevier
Total Pages: 871
Release: 2013-06-01
Genre: Science
ISBN: 148310320X

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.

Mathematical Theory of Diffraction

Mathematical Theory of Diffraction
Author: Arnold Sommerfeld
Publisher: Springer Science & Business Media
Total Pages: 172
Release: 2004
Genre: Mathematics
ISBN: 9780817636043

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

Fundamentals of the Physical Theory of Diffraction
Author: Pyotr Ya. Ufimtsev
Publisher: John Wiley & Sons
Total Pages: 349
Release: 2007-02-09
Genre: Science
ISBN: 0470109009

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.

Electromagnetic Radiation, Scattering, and Diffraction

Electromagnetic Radiation, Scattering, and Diffraction
Author: Prabhakar H. Pathak
Publisher: John Wiley & Sons
Total Pages: 1156
Release: 2021-12-07
Genre: Science
ISBN: 1119810531

Electromagnetic Radiation, Scattering, and Diffraction Discover a graduate-level text for students specializing in electromagnetic wave radiation, scattering, and diffraction for engineering applications In Electromagnetic Radiation, Scattering and Diffraction, distinguished authors Drs. Prabhakar H. Pathak and Robert J. Burkholder deliver a thorough exploration of the behavior of electromagnetic fields in radiation, scattering, and guided wave environments. The book tackles its subject from first principles and includes coverage of low and high frequencies. It stresses physical interpretations of the electromagnetic wave phenomena along with their underlying mathematics. The authors emphasize fundamental principles and provide numerous examples to illustrate the concepts contained within. Students with a limited undergraduate electromagnetic background will rapidly and systematically advance their understanding of electromagnetic wave theory until they can complete useful and important graduate-level work on electromagnetic wave problems. Electromagnetic Radiation, Scattering and Diffraction also serves as a practical companion for students trying to simulate problems with commercial EM software and trying to better interpret their results. Readers will also benefit from the breadth and depth of topics, such as: Basic equations governing all electromagnetic (EM) phenomena at macroscopic scales are presented systematically. Stationary and relativistic moving boundary conditions are developed. Waves in planar multilayered isotropic and anisotropic media are analyzed. EM theorems are introduced and applied to a variety of useful antenna problems. Modal techniques are presented for analyzing guided wave and periodic structures. Potential theory and Green's function methods are developed to treat interior and exterior EM problems. Asymptotic High Frequency methods are developed for evaluating radiation Integrals to extract ray fields. Edge and surface diffracted ray fields, as well as surface, leaky and lateral wave fields are obtained. A collective ray analysis for finite conformal antenna phased arrays is developed. EM beams are introduced and provide useful basis functions. Integral equations and their numerical solutions via the method of moments are developed. The fast multipole method is presented. Low frequency breakdown is studied. Characteristic modes are discussed. Perfect for graduate students studying electromagnetic theory, Electromagnetic Radiation, Scattering, and Diffraction is an invaluable resource for professional electromagnetic engineers and researchers working in this area.