Practical Applications of Asymptotic Techniques in Electromagnetics

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Author :
Release : 2011
Genre : Mathematics
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Book Rating : 646/5 ( reviews)

Practical Applications of Asymptotic Techniques in Electromagnetics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Practical Applications of Asymptotic Techniques in Electromagnetics write by Francisco Sáez de Adana. This book was released on 2011. Practical Applications of Asymptotic Techniques in Electromagnetics available in PDF, EPUB and Kindle. "Antenna, wireless communication and other electrical engineers use asymptotic techniques for solving electromagnetic problems when the electrical size of a given scenario is large in comparison to the wavelength. This practical book offers in-depth coverage of this area, showing how to apply these techniques to the analysis of complex electromagnetic problems in order to obtain results with an exceptionally high degree of accuracy. Focusing on two highly-effective methods - the uniform theory of diffraction (UTD) and physical optics (PO), this book is unique in that it emphasizes how to solve real-world problems, rather than simply explaining theory like other books on the market. This first-of-its-kind resource show professionals how to apply this knowledge to a wide range of projects in the field, including antenna design, mobile communications, and RCS (radar cross section) computation. This authoritative book is supported with more than 100 illustrations and over 250 equations."

Selected Asymptotic Methods with Applications to Electromagnetics and Antennas

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Release : 2022-06-01
Genre : Technology & Engineering
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Book Rating : 161/5 ( reviews)

Selected Asymptotic Methods with Applications to Electromagnetics and Antennas - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Selected Asymptotic Methods with Applications to Electromagnetics and Antennas write by George Fikioris. This book was released on 2022-06-01. Selected Asymptotic Methods with Applications to Electromagnetics and Antennas available in PDF, EPUB and Kindle. This book describes and illustrates the application of several asymptotic methods that have proved useful in the authors' research in electromagnetics and antennas. We first define asymptotic approximations and expansions and explain these concepts in detail. We then develop certain prerequisites from complex analysis such as power series, multivalued functions (including the concepts of branch points and branch cuts), and the all-important gamma function. Of particular importance is the idea of analytic continuation (of functions of a single complex variable); our discussions here include some recent, direct applications to antennas and computational electromagnetics. Then, specific methods are discussed. These include integration by parts and the Riemann-Lebesgue lemma, the use of contour integration in conjunction with other methods, techniques related to Laplace's method and Watson's lemma, the asymptotic behavior of certain Fourier sine and cosine transforms, and the Poisson summation formula (including its version for finite sums). Often underutilized in the literature are asymptotic techniques based on the Mellin transform; our treatment of this subject complements the techniques presented in our recent Synthesis Lecture on the exact (not asymptotic) evaluation of integrals.

Selected Asymptotic Methods with Applications to Electromagnetics and Antennas

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Author :
Release : 2014
Genre : Antennas (Electronics)
Kind :
Book Rating : 395/5 ( reviews)

Selected Asymptotic Methods with Applications to Electromagnetics and Antennas - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Selected Asymptotic Methods with Applications to Electromagnetics and Antennas write by George J. Fikioris. This book was released on 2014. Selected Asymptotic Methods with Applications to Electromagnetics and Antennas available in PDF, EPUB and Kindle. This book describes and illustrates the application of several asymptotic methods that have proved useful in the authors' research in electromagnetics and antennas. We first define asymptotic approximations and expansions and explain these concepts in detail. We then develop certain prerequisites from complex analysis such as power series, multivalued functions (including the concepts of branch points and branch cuts), and the all-important gamma function. Of particular importance is the idea of analytic continuation (of functions of a single complex variable); our discussions here include some recent, direct applications to antennas and computational electromagnetics. Then, specific methods are discussed. These include integration by parts and the Riemann-Lebesgue lemma, the use of contour integration in conjunction with other methods, techniques related to Laplace's method and Watson's lemma, the asymptotic behavior of certain Fourier sine and cosine transforms, and the Poisson summation formula (including its version for finite sums). Often underutilized in the literature are asymptotic techniques based on the Mellin transform; our treatment of this subject complements the techniques presented in our recent Synthesis Lecture on the exact (not asymptotic) evaluation of integrals. Throughout, we provide illustrative examples. Some of them are applications to special functions of mathematical physics. Others, taken from our published research, include the application of elementary methods to develop certain simple formulas for transmission lines, examples illustrating the difficulties in solving fundamental integral equations of antenna theory, an examination of the fundamentals of the Method of Auxiliary Sources (MAS), and a study of the near fields of certain unusual types of radiators. Table of Contents: Preface / Introduction: Simple Asymptotic Approximations / Asymptotic Approximations Defined / Concepts from Complex Variables / Laplace's Method and Watson's Lemma / Integration by Parts and Asymptotics of Some Fourier Transforms / Poisson Summation Formula and Applications / Mellin-Transform Method for Asymptotic Evaluation of Integrals / More Applications to Wire Antennas / Authors' Biographies / Index

Modern Electromagnetic Scattering Theory with Applications

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Release : 2017-01-31
Genre : Technology & Engineering
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Book Rating : 294/5 ( reviews)

Modern Electromagnetic Scattering Theory with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Electromagnetic Scattering Theory with Applications write by Andrey V. Osipov. This book was released on 2017-01-31. Modern Electromagnetic Scattering Theory with Applications available in PDF, EPUB and Kindle. This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics

Electromagnetic Radiation, Scattering, and Diffraction

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Release : 2021-12-07
Genre : Science
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Book Rating : 531/5 ( reviews)

Electromagnetic Radiation, Scattering, and Diffraction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Electromagnetic Radiation, Scattering, and Diffraction write by Prabhakar H. Pathak. This book was released on 2021-12-07. Electromagnetic Radiation, Scattering, and Diffraction available in PDF, EPUB and Kindle. 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.