This textbook presents the fundamental concepts and theories in electromagnetic theory in a very simple, systematic, and comprehensive way. The book is written in a lucid manner so that they are able to understand the realization behind the mathematical concepts which are the backbone of this subject. All the subject fundamentals and related derivations are discussed in an easy and comprehensive way to make the students strong about the basics of the electromagnetic theory. The philosophy of presentation and material content in the book is based on concept-based approach toward the subject. The key features also lies in the solutions of several interesting numerical problems so that the students should have the idea of the practical usages of the subject. The book benefits students who are taking introductory courses in electromagnetic wave and field theory for applications in communication engineering.
Author(s): Prabir K. Basu, Hrishikesh Dhasmana
Publisher: Springer
Year: 2022
Language: English
Pages: 232
City: Singapore
PREFACE
CONTENTS
CHAPTER 1 ELECTROMAGNETIC THEORY FUNDAMENTALS
1.1 Basic Ideas
1.2 A Comparison between the Mechanical Wave and Electromagnetic Waves
1.3 Some Important Parameters with Symbols and SI Units
1.4 Some Useful Relations
1.5 Some Sources
1.6 Basic Concepts of Vectors
1.7 Coordinate Systems
1.8 The ‘∇^2 ’
CHAPTER 2 STATIC ELECTRIC FIELDS
2.1 Coulomb’s Law
2.2 Electric Field Strength (E)
2.3 Charge Distributions
2.4 Electric Displacement ‘ Ψ ’ and Displacement Density ‘D’
2.5 Lines of Force and Lines of Flux
2.6 Gauss’s Law
2.7 The Potential Function
2.8 Field Due to a Continuous Distribution of Charges
2.9 Equipotential Surfaces
2.10 Conductors
2.11 Gauss’s Divergence theorem
2.12 Integral form of Divergence
2.13 Alternate statement of Gauss’s law
2.14 Poission’s Equation and Laplace’s Equation
2.15 Problem of Electrostatics
2.16 Solution for Some Simple Cases
2.17 Electrical Image Method
2.18 Example
2.19 Capacitance
2.20 Electrostatic Energy Stored in a Capacitor
2.21 Energy Associated to An Electrostatic Field
2.22 Boundary Conditions Between the Two Dielectrics
2.23 The Electrostatic Uniqueness Theorem
2.24 Dirac-delta Representation for a Point Charge
2.25 Dirac Delta (δ ) Representation for an Infinitesimal Dipole
CHAPTER 3 STEADY MAGNETIC FIELDS
3.1 The Steady Magnetic Field
3.2 Magnetic Induction and Faraday’s Law
3.3 Some Parameters
3.4 Ampere’s Work Law in the Differential Form
3.5 Ampere’s Law for a Current Element or Biot-Savart’s Law
3.6 Magnetic Field Due to Volume Distribution of Current and the Dirac Delta
3.7 Ampere’s Force Law
3.8 Magnetic Vector Potential
3.9 The Vector Potential (Alternate Approach)
3.10 The Far Magnetic field of a Current Distribution
3.11 Equation of Continuity (Conservation of nos. of Charges)
CHAPTER 4 TIME VARYING FIELDS AND MAXWELL’S EQUATIONS
4.1 Inconsistency of Ampere’s Law
4.2 Maxwell’s Equations
4.3 Maxwell’s Equations in Static Field
4.4 Derivation: (Maxwell’s Equations in Differential Form)
4.5 Physical Significance of Maxwell’s Equations
4.6 Plane Wave Equation in a Homogeneous Medium
4.7 Plane Wave Equation in Free Space
4.8 Uniform Plane Wave Propagation
4.9 Uniform Plane Wave
4.10 Relation between ‘E’ and ‘H’ in a Uniform Plane Wave
4.11 The Wave Equations for a Conducting Medium
4.12 Poynting’s Theorem
4.13 Power Loss in a Plane Conductor
4.14 Maxwell’s Equations Using Phasor Notation
4.15 Electromagnetic Equations in Phasor Notation
4.16 Wave Propagation in a Conducting Medium
4.17 Conductors and Dielectrics
4.18 Wave Propagation in Good Dielectrics
4.19 Wave Propagation in Good Conductor
4.20 Depth of Penetration or Skin Depth
4.21 Polarization
CHAPTER 5 REFLECTION AND REFRACTION OF E.M.WAVES
5.1 Introduction
5.2 Reflection by a Perfect Conductor
5.3 Reflection by a Perfect Dielectric
5.4 Brewster’s Law and Brewster’s Angle
5.5 Total Internal Reflection
5.6 Reflection at the Surface of a Conducting Medium
5.7 Surface Impedance
CHAPTER 6 TRANSMISSION LINE
6.1 Transmission Line Theory
6.2 Transmission Line as a Distributed Circuit
6.3 Basic Transmission Line Equations
6.4 Line Terminated in its Characteristic Impedance
6.5 Input Impedance (Hyperbolic Function Solution) of Transmission Line
6.6 Characteristic Impedance (Z_o)
6.7 Propagation Constant
6.8 Reflection Coefficient
6.10 Standing Wave Ratio
6.11 Determination of Amplitude and Phase Angle of the Voltage Wave
6.12 Important Points about SWR
6.13 The Transmission Line Analogy
6.14 Impedance Matching Techniques in Transmission Line
CHAPTER 7 INTRODUCTION TO SMITH CHART
7.1 Smith Chart
7.2 Theory
7.3 Per Unit Impedance Chart
7.4 Complete Smith Chart
7.5 Pictorial Representation of Smith Chart
7.6 Characteristic of the Smith Chart
7.7 Some Important Definitions
7.8 Steps to Calculate the Reflection Coefficient
7.9 Application of the Smith Chart
7.10 Solution of Problems Using Smith Chart
NUMERICAL PROBLEMS
SAMPLE QUESTIONS
