Operator Theory For Electromagnetics
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Operator Theory For Electromagnetics
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Author : George W. Hanson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Operator Theory For Electromagnetics written by George W. Hanson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional anal ysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engineers and applied scientists working in this area. Part I is intended to be a somewhat self-contained introduction to op erator theory and functional analysis, especially those elements necessary for application to problems in electromagnetics. The goal of Part I is to ex plain and synthesize these topics in a logical manner. Examples principally geared toward electromagnetics are provided. With the exception of Chapter 1, which serves as a review of basic electromagnetic theory, Part I presents definitions and theorems along with associated discussion and examples. This style was chosen because it allows one to readily identify the main concepts in a particular section. A proof is provided for all theorems whose proof is simple and straightforward. A proof is also provided for theorems that require a slightly more elaborate proof, yet one that is especially enlightening, being either constructive or illustrative. Generally. theorems are stated but not proved in cases where either the proof is too involved or the details of the proof would take one too far afield of the topic at hand, such as requiring additional lemmas that are not clearly useful in applications.
Operator Theory For Electromagnetics An Introduction
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Author :
language : en
Publisher:
Release Date :
Operator Theory For Electromagnetics An Introduction written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Electromagnetic Theory For Electromagnetic Compatibility Engineers
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Author : Tze-Chuen Toh
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Electromagnetic Theory For Electromagnetic Compatibility Engineers written by Tze-Chuen Toh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Science categories.
Engineers and scientists who develop and install electronic devices and circuits need to have a solid understanding of electromagnetic theory and the electromagnetic behavior of devices and circuits. In particular, they must be well-versed in electromagnetic compatibility, which minimizes and controls the side effects of interconnected electric dev
Optical Waveguide Theory
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Author : Yury Shestopalov
language : en
Publisher: Springer Nature
Release Date : 2022-03-26
Optical Waveguide Theory written by Yury Shestopalov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-26 with Science categories.
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.
Integral Equation Methods For Electromagnetic And Elastic Waves
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Author : Weng Chew
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Integral Equation Methods For Electromagnetic And Elastic Waves written by Weng Chew and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Electromagnetic Frontier Theory Exploration
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Author : Changhong Liang
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-11-05
Electromagnetic Frontier Theory Exploration written by Changhong Liang and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Science categories.
This book systematically introduces electromagnetic theories and their applications in practice: electrostatic energy, Poynting theorem, the polarization of waves, the conservation law, the electromagnetic symmetry, the conformal mapping method, the electromagnetic loss. The parameters and theorems of electromagnetic theories are discussed in detail, making the book an essential reference for researchers, and engineers in electromagnetics field.
Applied Mathematical Analysis Theory Methods And Applications
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Author : Hemen Dutta
language : en
Publisher: Springer
Release Date : 2019-02-21
Applied Mathematical Analysis Theory Methods And Applications written by Hemen Dutta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Computers categories.
This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.
Theory And Phenomena Of Metamaterials
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Author : Filippo Capolino
language : en
Publisher: CRC Press
Release Date : 2017-12-19
Theory And Phenomena Of Metamaterials written by Filippo Capolino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Science categories.
Theory and Phenomena of Metamaterials offers an in-depth look at the theoretical background and basic properties of electromagnetic artificial materials, often called metamaterials. A volume in the Metamaterials Handbook, this book provides a comprehensive guide to working with metamaterials using topics presented in a concise review format along with numerous references. With contributions from leading researchers, this text covers all areas where artificial materials have been developed. Each chapter in the text features a concluding summary as well as various cross references to address a wide range of disciplines in a single volume.
Electromagnetic Theory And Computation
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Author : Paul W. Gross
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-14
Electromagnetic Theory And Computation written by Paul W. Gross and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-14 with Mathematics categories.
This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. The connection between topology and electromagnetism has been known since the 19th century, but there has been little exposition of its relevance to computational methods in modern topological language. This book is an effort to close that gap. It will be of interest to people working in finite element methods for electromagnetic computation and those who have an interest in numerical and industrial applications of algebraic topology.
Radiating Nonuniform Transmission Line Systems And The Partial Element Equivalent Circuit Method
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Author : Prof. Dr. Juergen Nitsch
language : en
Publisher: John Wiley & Sons
Release Date : 2009-10-29
Radiating Nonuniform Transmission Line Systems And The Partial Element Equivalent Circuit Method written by Prof. Dr. Juergen Nitsch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-29 with Science categories.
High frequencies of densely packed modern electronic equipment turn even the smallest piece of wire into a transmission line with signal retardation, dispersion, attenuation, and distortion. In electromagnetic environments with high-power microwave or ultra-wideband sources, transmission lines pick up noise currents generated by external electromagnetic fields. These are superimposed on essential signals, the lines acting not only as receiving antennas but radiating parts of the signal energy into the environment. This book is outstanding in its originality. While many textbooks rephrase that which has been written before, this book features: an accessible introduction to the fundamentals of electromagnetics; an explanation of the newest developments in transmission line theory, featuring the transmission line super theory developed by the authors; a unique exposition of the increasingly popular PEEC (partial element equivalent circuit) method, including recent research results. Both the Transmission Line Theory and the PEEC method are well suited to combine linear structures with circuit networks. For engineers, researchers, and graduate students, this text broadens insight into the basics of electrical engineering. It provides a deeper understanding of Maxwellian-circuit-like representations of multi-conductor transmission lines, justifies future research in this field.