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
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
Practical Applications of Asymptotic Techniques in Electromagnetics
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."
Accurate Computation of Mathieu Functions
Accurate Computation of Mathieu Functions - 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 Accurate Computation of Mathieu Functions write by Andrew Peterson. This book was released on 2022-06-01. Accurate Computation of Mathieu Functions available in PDF, EPUB and Kindle. This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.
Asymptotic Multiple Scale Method in Time Domain
Asymptotic Multiple Scale Method in Time Domain - 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 Asymptotic Multiple Scale Method in Time Domain write by Jan Awrejcewicz. This book was released on 2022-05-10. Asymptotic Multiple Scale Method in Time Domain available in PDF, EPUB and Kindle. This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale method is shown to be an efficient and intuitive way to approach mechanics. Beginning with new material on the development of cutting-edge asymptotic methods and multiple scale methods, the book introduces this method in time domain and provides examples of vibrations of systems. Clearly written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationary and nonstationary processes, various resonances and jump pull-in phenomena. It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions. It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. It will also be useful to those studying engineering maths and physics.
