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From Maxwell's Equations to Free and Guided Electromagnetic Waves

From Maxwell's Equations to Free and Guided Electromagnetic Waves
Author: Manuel Quesada-Pérez
Publisher: Physics Research and Technology
Total Pages: 0
Release: 2014
Genre: Electromagnetic waves
ISBN: 9781631174537

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Maxwell's equations and the discovery of electromagnetic waves changed the world. Can you imagine how our everyday life would be without telephone, radio, television, mobile phones and internet? It's thanks to Maxwell's equations that we understand what electromagnetic waves are and how they are generated, propagated and detected. These equations can even change our perception of nature when they are really understood, but their power and elegance is completely appreciated when they are expressed in differential form. Moreover, this form is extremely useful dealing with some issues, such as the propagation of electromagnetic waves.


Maxwell's Equations

Maxwell's Equations
Author: Dmitry Kolomenskiy
Publisher:
Total Pages: 736
Release: 2020-05-09
Genre:
ISBN:

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Maxwell's equations and the discovery of electromagnetic waves changed the world. Can you imagine how our everyday life would be without telephone, radio, television, mobile phones and internet? It is thanks to Maxwell's equations that we understand what electromagnetic waves are and how they are generated, propagated and detected. These equations can even change our perception of nature when they are really understood, but their power and elegance is completely appreciated when they are expressed in differential form. Moreover, this form is extremely useful dealing with some issues, such as the propagation of electromagnetic waves.This book can be very useful for undergraduates that must face the differential form of Maxwell's equations and its application to electromagnetic waves for the first time because: - Maxwell's equations and the propagation of free and guided waves are introduced with mathematical rigor but without requiring previous knowledge on advanced vector calculus or theory of functions of complex variable. Only elementary notions of calculus, vectors, geometry and trigonometry are required.- The definition and notation of vector operators (divergence and curl) are explained in easy mathematical terms.- An assortment of examples and solved problems illustrates how Maxwell's equations work in differential form and electromagnetic waves propagate in free space and confined media.- Several examples of waveguides are analyzed with the help of an intuitive picture and without solving coupled partial differential equations to elucidate the peculiarities of guided propagation. Advanced mathematical treatments can sometimes hide the physical understanding of phenomena.In short, this book will help students to bridge the gap between elementary and advances treatments on Maxwell's equation and electromagnetic waves. Thus, it can be a good training for electromagnetism courses


Electromagnetism

Electromagnetism
Author: Tamer Becherrawy
Publisher: John Wiley & Sons
Total Pages: 442
Release: 2013-05-21
Genre: Science
ISBN: 1118587774

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This book deals with electromagnetic theory and its applications at the level of a senior-level undergraduate course for science and engineering. The basic concepts and mathematical analysis are clearly developed and the important applications are analyzed. Each chapter contains numerous problems ranging in difficulty from simple applications to challenging. The answers for the problems are given at the end of the book. Some chapters which open doors to more advanced topics, such as wave theory, special relativity, emission of radiation by charges and antennas, are included. The material of this book allows flexibility in the choice of the topics covered. Knowledge of basic calculus (vectors, differential equations and integration) and general physics is assumed. The required mathematical techniques are gradually introduced. After a detailed revision of time-independent phenomena in electrostatics and magnetism in vacuum, the electric and magnetic properties of matter are discussed. Induction, Maxwell equations and electromagnetic waves, their reflection, refraction, interference and diffraction are also studied in some detail. Four additional topics are introduced: guided waves, relativistic electrodynamics, particles in an electromagnetic field and emission of radiation. A useful appendix on mathematics, units and physical constants is included. Contents 1. Prologue. 2. Electrostatics in Vacuum. 3. Conductors and Currents. 4. Dielectrics. 5. Special Techniques and Approximation Methods. 6. Magnetic Field in Vacuum. 7. Magnetism in Matter. 8. Induction. 9. Maxwell’s Equations. 10. Electromagnetic Waves. 11. Reflection, Interference, Diffraction and Diffusion. 12. Guided Waves. 13. Special Relativity and Electrodynamics. 14. Motion of Charged Particles in an Electromagnetic Field. 15. Emission of Radiation.


A Student's Guide to Maxwell's Equations

A Student's Guide to Maxwell's Equations
Author: Daniel Fleisch
Publisher: Cambridge University Press
Total Pages: 129
Release: 2008-01-10
Genre: Science
ISBN: 1139468472

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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.


Maxwell on the Electromagnetic Field

Maxwell on the Electromagnetic Field
Author: Thomas K. Simpson
Publisher: Rutgers University Press
Total Pages: 468
Release: 1997
Genre: Biography & Autobiography
ISBN: 9780813523637

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Reproduces major portions of Maxwell's classic papers on key concepts in modern physics, written between 1855 and 1864, along with commentaries, notes, and bandw diagrams. Includes a detailed biographical introduction exploring the personal, historical, and scientific context of his work. Designed to be accessible to readers with limited knowledge of math or physics, as well as scientists and historians of science. Annotation copyright by Book News, Inc., Portland, OR


Maxwell's Equations and Their Consequences

Maxwell's Equations and Their Consequences
Author: B. H. Chirgwin
Publisher: Elsevier
Total Pages: 171
Release: 2013-10-22
Genre: Science
ISBN: 1483156400

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Elementary Electromagnetic Theory Volume 3: Maxwell’s Equations and their Consequences is the third of three volumes that intend to cover electromagnetism and its potential theory. The third volume considers the implications of Maxwell's equations, such as electromagnetic radiation in simple cases, and its relation between Maxwell's equation and the Lorenz transformation. Included in this volume are chapters 11-14, which contain an in-depth discussion of the following topics: • Electromagnetic Waves • The Lorentz Invariance of Maxwell's Equation • Radiation • Motion of Charged Particles Intended to serve as an introduction to electromagnetism and potential theory, the book is for second, third, and fourth year undergraduates of physics and engineering, as they are included in their course of study. Do note that the authors assume that the readers are conversant with the basic ideas of vector analysis, including vector integral theorems.


Wireless and Guided Wave Electromagnetics

Wireless and Guided Wave Electromagnetics
Author: Le Nguyen Binh
Publisher: CRC Press
Total Pages: 403
Release: 2017-07-12
Genre: Technology & Engineering
ISBN: 1439847541

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Wireless communications allow high-speed mobile access to a global Internet based on ultra-wideband backbone intercontinental and terrestrial networks. Both of these environments support the carrying of information via electromagnetic waves that are wireless (in free air) or guided through optical fibers. Wireless and Guided Wave Electromagnetics: Fundamentals and Applications explores the fundamental aspects of electromagnetic waves in wireless media and wired guided media. This is an essential subject for engineers and physicists working with communication technologies, mobile networks, and optical communications. This comprehensive book: Builds from the basics to modern topics in electromagnetics for wireless and optical fiber communication Examines wireless radiation and the guiding of optical waves, which are crucial for carrying high-speed information in long-reach optical networking scenarios Explains the physical phenomena and practical aspects of guiding optical waves that may not require detailed electromagnetic solutions Explores applications of electromagnetic waves in optical communication systems and networks based on frequency domain transfer functions in the linear regions, which simplifies the physical complexity of the waves but still allows them to be examined from a system engineering perspective Uses MATLAB® and Simulink® models to simulate and illustrate the electromagnetic fields Includes worked examples, laboratory exercises, and problem sets to test understanding The book’s modular structure makes it suitable for a variety of courses, for self-study, or as a resource for research and development. Throughout, the author emphasizes issues commonly faced by engineers. Going a step beyond traditional electromagnetics textbooks, this book highlights specific uses of electromagnetic waves with a focus on the wireless and optical technologies that are increasingly important for high-speed transmission over very long distances.


A Dynamical Theory of the Electromagnetic Field

A Dynamical Theory of the Electromagnetic Field
Author: James C. Maxwell
Publisher: Wipf and Stock Publishers
Total Pages: 119
Release: 1996-12-03
Genre: Religion
ISBN: 1579100155

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"We owe Clerk Maxwell the precise formulation of the space-time laws of electromagnetic fields. Imagine his own feelings when the partial differential equations he formulated spread in the form of polarized waves with the speed of light! This change in the understanding of the structure of reality is the most profound and fruitful that has come to physics since Newton."--Albert Einstein


Electromagnetic Theory for Microwaves and Optoelectronics

Electromagnetic Theory for Microwaves and Optoelectronics
Author: Kequian Zhang
Publisher: Springer Science & Business Media
Total Pages: 683
Release: 2013-06-29
Genre: Science
ISBN: 3662035537

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This book is a first-year graduate text on electromagnetic fields and waves. It is the translated and revised edition of the Chinese version with the same title published by the Publishing House of Electronic Industry (PHEI) of China in 1994. The text is based on the graduate course lectures on "Advanced Elec trodynamics" given by the authors at Tsinghua University. More than 300 students from the Department of Electronic Engineering and the Depart ment of Applied Physics have taken this course during the last decade. Their particular fields are microwave and millimeterwave theory and technology, physical electronics, optoelectronics and engineering physics. As the title of the book shows, the texts and examples in the book concentrate mainly on electromagnetic theory related to microwaves and optoelectronics, or light wave technology. However, the book can also be used as an intermediate-level text or reference book on electromagnetic fields and waves for students and scientists engaged in research in neighboring fields.


Introduction to Electromagnetic Waves with Maxwell's Equations

Introduction to Electromagnetic Waves with Maxwell's Equations
Author: Ozgur Ergul
Publisher: John Wiley & Sons
Total Pages: 596
Release: 2021-10-11
Genre: Science
ISBN: 1119626722

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Discover an innovative and fresh approach to teaching classical electromagnetics at a foundational level Introduction to Electromagnetic Waves with Maxwell’s Equations delivers an accessible and practical approach to teaching the wellknown topics all electromagnetics instructors must include in their syllabus. Based on the author’s decades of experience teaching the subject, the book is carefully tuned to be relevant to an audience of engineering students who have already been exposed to the basic curricula of linear algebra and multivariate calculus. Forming the backbone of the book, Maxwell’s equations are developed step-by-step in consecutive chapters, while related electromagnetic phenomena are discussed simultaneously. The author presents accompanying mathematical tools alongside the material provided in the book to assist students with retention and comprehension. The book contains over 100 solved problems and examples with stepwise solutions offered alongside them. An accompanying website provides readers with additional problems and solutions. Readers will also benefit from the inclusion of: A thorough introduction to preliminary concepts in the field, including scalar and vector fields, cartesian coordinate systems, basic vector operations, orthogonal coordinate systems, and electrostatics, magnetostatics, and electromagnetics An exploration of Gauss’ Law, including integral forms, differential forms, and boundary conditions A discussion of Ampere’s Law, including integral and differential forms and Stoke’s Theorem An examination of Faraday’s Law, including integral and differential forms and the Lorentz Force Law Perfect for third-and fourth-year undergraduate students in electrical engineering, mechanical engineering, applied maths, physics, and computer science, Introduction to Electromagnetic Waves with Maxwell’s Equations will also earn a place in the libraries of graduate and postgraduate students in any STEM program with applications in electromagnetics.