Author: Yu. V. Shestopalov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110942054
Category : Mathematics
Languages : en
Pages : 132

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Book Description
No detailed description available for "Logarithmic Integral Equations in Electromagnetics".

Author: George W. Hanson
Publisher: Springer Science & Business Media
ISBN: 1475736797
Category : Science
Languages : en
Pages : 640

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Book Description
This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-contained introduction to operator theory, presenting definitions and theorems, plus proofs of the theorems when these are simple or enlightening.

Author: David Colton
Publisher: SIAM
ISBN: 1611973155
Category : Mathematics
Languages : en
Pages : 286

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Book Description
This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Author: Yury Shestopalov
Publisher: Springer Nature
ISBN: 9811905843
Category : Science
Languages : en
Pages : 269

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Book Description
This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.

Author: Ricardo Estrada
Publisher: Springer Science & Business Media
ISBN: 1461213827
Category : Mathematics
Languages : en
Pages : 433

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Book Description
Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0

Author: William J. Marciano
Publisher: World Scientific
ISBN: 9812704213
Category : Science
Languages : en
Pages : 271

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Book Description
This book constitutes the proceedings of a workshop which originated from a discussion with Professor A Zichichi in March 2001. The purpose of the meeting was to celebrate two developments at Brookhaven that, in both cases, are the outcome of more than a decade of preparation: the new muon g-2 measurement and the flood of data that started pouring out of RHIC. Bringing together people from these very different fields was an interesting challenge. But, at the time, when a small community of heavy ion physicists was beginning to define a program of electromagnetic interactions at RHIC and LHC, it seemed logical. The result is the white paper OC Hot Topics in Ultra-peripheral CollisionsOCO.On Fermi''s centennial, his original paper, developing for the first time the equivalent photon approximation, seemed to merit renewed attention. The paper has been translated into English from the Italian and included in the proceedings."

Author: Thomas Trogdon
Publisher: SIAM
ISBN: 1611974194
Category : Mathematics
Languages : en
Pages : 370

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Book Description
Riemann?Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann?Hilbert problem.This book, the most comprehensive one to date on the applied and computational theory of Riemann?Hilbert problems, includes an introduction to computational complex analysis, an introduction to the applied theory of Riemann?Hilbert problems from an analytical and numerical perspective, and a discussion of applications to integrable systems, differential equations, and special function theory. It also includes six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann?Hilbert method, each of mathematical or physical significance or both.?

Author: Wenhua Yu
Publisher: Artech House
ISBN: 1608078973
Category : Technology & Engineering
Languages : en
Pages : 597

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Book Description
This new resource covers the latest developments in computational electromagnetic methods, with emphasis on cutting-edge applications. This book is designed to extend existing literature to the latest development in computational electromagnetic methods, which are of interest to readers in both academic and industrial areas. The topics include advanced techniques in MoM, FEM and FDTD, spectral domain method, GPU and Phi hardware acceleration, metamaterials, frequency and time domain integral equations, and statistics methods in bio-electromagnetics.

Author: Edward J. Rothwell
Publisher: CRC Press
ISBN: 1439878188
Category : Technology & Engineering
Languages : en
Pages : 695

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Book Description
Providing an ideal transition from introductory to advanced concepts, Electromagnetics, Second Edition builds a foundation that allows electrical engineers to confidently proceed with the development of advanced EM studies, research, and applications. This second edition of a popular text continues to offer coverage that spans the entire field, from electrostatics to the integral solutions of Maxwell’s equations. The book provides a firm grounding in the fundamental concepts of electromagnetics and bolsters understanding through the use of classic examples in shielding, transmission lines, waveguides, propagation through various media, radiation, antennas, and scattering. Mathematical appendices present helpful background information in the areas of Fourier transforms, dyadics, and boundary value problems. The second edition adds a new and extensive chapter on integral equation methods with applications to guided waves, antennas, and scattering. Utilizing the engaging style that made the first edition so appealing, this second edition continues to emphasize the most enduring and research-critical electromagnetic principles.

Author: N. N. Lebedev
Publisher: Courier Corporation
ISBN: 0486139891
Category : Mathematics
Languages : en
Pages : 340

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Book Description
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.