Wow! eBook
ELECTROMAGNETIC FIELDS FOR ENGINEERS AND SCIENTISTS Vol. 2: Wave Propagation through various media, Waveguides, Transmission lines, Electromagnetic Radiation, Antenna Principles
Author(s): Demetrios P. Kanoussis Ph. D (Author)
- Publisher: Independently published
- Publication Date: 15 Dec. 2022
- Language: English
- Print length: 482 pages
- ISBN-10: B0BQ9FCNCY
- ISBN-13: 9798369852927
Book Description
This is the second volume of my book series in Engineering Electromagnetics. While the main subject in Vol. 1, is the derivation of Maxwell’s equations, following more or less the historical development, this second volume is devoted to the study of many interesting applications of Maxwell’s applications, which are of utmost importance in Electrical Engineering and Physics.
One of the most important implications of Maxwell’s equations is the prediction of electromagnetic waves, propagating in free space, (vacuum), with the speed of light, (confirmed a little later by Heinrich Hertz). In this volume we study the propagation of electromagnetic waves through various media, unbounded and bounded, and thus develop an insight and an understanding of the propagating waves and their behavior.
Chapter 1 is devoted to a systematic review of Maxwell’s equations. It is further shown that, by means of an appropriate transformation, Maxwell’s equations in free space, lead to a wave equation for the electric field E and the magnetic field H . This fact alone reveals the wave nature of the electromagnetic fields. Retarded potentials, the Poynting vector theorem and various other important, general topics, pertaining to electromagnetic fields, are covered in this chapter.
In Chapter 2 it is shown that the wave equation admits traveling wave’s solutions and the representation of waves, varying sinusoidally in time, by complex vectors (phasors) is introduced.
The fundamentals of wave propagation through various media occupy Chapters 3, 4 and 5. Chapter 3 is devoted to the propagation of waves in unbounded, non-conducting media, (perfect dielectrics). It is shown that the wave equation admits plane wave solutions, propagating with no attenuation through the medium. Chapter 4 contains a discussion of the propagation of waves in unbounded, conducting media. It is shown that, in this case, the wave equation still admits plane wave solutions, propagating through the medium, with attenuation depending on the finite conductivity of the medium and the frequency. Chapter 5 investigates the propagation and the behavior of waves in Plasmas. In particular, it is shown that the magnetoplasma is an anisotropic medium, described by its conductivity tensor. Several other important topics, such as ordinary and extraordinary waves, polarization of waves and Faraday’s rotation are also discussed.
Chapter 6 presents a detailed analysis of waveguides, of both rectangular and circular cross section. Expressions for the allowed modes (TE or TM), their cutoff frequencies and the power transferred are obtained.
The theory of transmission lines is presented in Chapter 7. The general equations of the transmission line are formulated and various important concepts and applications are introduced and clarified, like, for instance, input impedance, matched termination of transmission lines, standing wave ratio, etc.
The fundamentals of electromagnetic radiation and basic antenna principles are covered in Chapter 8. The Hertzian dipole, the small loop antenna, the long linear antenna, antenna characteristics, antenna arrays, uniform linear arrays and the Friis transmission formula, are among the topics covered in this chapter.
Finally, Chapter 9 presents a few more applications of Maxwell’s equations: The Quasi-Static approximation (slowly time - varying fields), the derivation of Kirchhoff’s laws from Maxwell’s equations and the diffraction of plane waves are covered in this chapter.
The book contains 115 fully solved examples and 425 problems for solution. The examples and problems have been carefully chosen to supplement the text material with additional information.
A summary of important formulas and vector identities, used throughout the book, is given at the beginning of the book, for easy reference.
One of the most important implications of Maxwell’s equations is the prediction of electromagnetic waves, propagating in free space, (vacuum), with the speed of light, (confirmed a little later by Heinrich Hertz). In this volume we study the propagation of electromagnetic waves through various media, unbounded and bounded, and thus develop an insight and an understanding of the propagating waves and their behavior.
Chapter 1 is devoted to a systematic review of Maxwell’s equations. It is further shown that, by means of an appropriate transformation, Maxwell’s equations in free space, lead to a wave equation for the electric field E and the magnetic field H . This fact alone reveals the wave nature of the electromagnetic fields. Retarded potentials, the Poynting vector theorem and various other important, general topics, pertaining to electromagnetic fields, are covered in this chapter.
In Chapter 2 it is shown that the wave equation admits traveling wave’s solutions and the representation of waves, varying sinusoidally in time, by complex vectors (phasors) is introduced.
The fundamentals of wave propagation through various media occupy Chapters 3, 4 and 5. Chapter 3 is devoted to the propagation of waves in unbounded, non-conducting media, (perfect dielectrics). It is shown that the wave equation admits plane wave solutions, propagating with no attenuation through the medium. Chapter 4 contains a discussion of the propagation of waves in unbounded, conducting media. It is shown that, in this case, the wave equation still admits plane wave solutions, propagating through the medium, with attenuation depending on the finite conductivity of the medium and the frequency. Chapter 5 investigates the propagation and the behavior of waves in Plasmas. In particular, it is shown that the magnetoplasma is an anisotropic medium, described by its conductivity tensor. Several other important topics, such as ordinary and extraordinary waves, polarization of waves and Faraday’s rotation are also discussed.
Chapter 6 presents a detailed analysis of waveguides, of both rectangular and circular cross section. Expressions for the allowed modes (TE or TM), their cutoff frequencies and the power transferred are obtained.
The theory of transmission lines is presented in Chapter 7. The general equations of the transmission line are formulated and various important concepts and applications are introduced and clarified, like, for instance, input impedance, matched termination of transmission lines, standing wave ratio, etc.
The fundamentals of electromagnetic radiation and basic antenna principles are covered in Chapter 8. The Hertzian dipole, the small loop antenna, the long linear antenna, antenna characteristics, antenna arrays, uniform linear arrays and the Friis transmission formula, are among the topics covered in this chapter.
Finally, Chapter 9 presents a few more applications of Maxwell’s equations: The Quasi-Static approximation (slowly time - varying fields), the derivation of Kirchhoff’s laws from Maxwell’s equations and the diffraction of plane waves are covered in this chapter.
The book contains 115 fully solved examples and 425 problems for solution. The examples and problems have been carefully chosen to supplement the text material with additional information.
A summary of important formulas and vector identities, used throughout the book, is given at the beginning of the book, for easy reference.
