Concise Introduction to Electromagnetic Fields (Synthesis Lectures on Electromagnetics)

Preface
Contents
Part I Introduction to Essential Mathematics and Electromagnetics
1 Vector Algebra and Vector Calculus
	1.1 Vector Algebra
		1.1.1 Definition and Expansion
		1.1.2 Vector Addition and Subtraction
		1.1.3 The Dot Product
		1.1.4 The Cross Product
	1.2 Coordinate Systems and Transformations
		1.2.1 Cartesian Coordinates
		1.2.2 Cylindrical Coordinates
		1.2.3 Spherical coordinates
	1.3 Vector Calculus
		1.3.1 Differential Elements
		1.3.2 Integral Calculus
		1.3.3 Differential Calculus
		1.3.4 Classification of Vectors
	1.4 Vector Calculus in a General Curvilinear Coordinate System
	1.5 Time-Harmonic Vectors
2 Maxwell Equations and the Structure of Electromagnetics
	2.1Linear Systems and the Green Function
	2.2Electromagnetics
		2.2.1Maxwell Equations
		2.2.2Maxwell Equations in Isotropic Dielectric-Magnetic Medium
		2.2.3Input/Output Relation
	2.3Special Cases
Part II Time-Independent Electromagnetics
3 Electrostatics
	3.1 Electric Field Computation
		3.1.1 Solution of Maxwell Equations
		3.1.2 Gauss Law
		3.1.3 The Method of Potentials
	3.2 Electrostatic Energy
		3.2.1 Energy in Free Space
		3.2.2 Energy in a General Medium
	3.3 Electric Dipole
	3.4 Electrostatic Perturbation by a Dielectric Object
		3.4.1 A Dielectric Object
		3.4.2 Interaction Between Electrostatic Field and a Dielectric Object
	3.5 Boundary Conditions
	3.6 Conductors and Capacitance
		3.6.1 Capacitance
4 Currents and Resistance
	4.1 Currents
	4.2 The Continuity Equation
	4.3 Conduction Current
	4.4 Resistance
5 Magnetostatics
	5.1 Magnetic Field Computation
		5.1.1 Solution of Maxwell Equations
		5.1.2 Ampere Law
		5.1.3 The Method of Potentials
	5.2 Magnetic Dipoles
	5.3 Magnetostatic Perturbation by a Magnetic Object
		5.3.1 A Magnetic Object
		5.3.2 Interaction Between Magnetostatic Field and a Magnetic Object
		5.3.3 A Nonlinear Magnetic Medium
	5.4 Boundary Conditions
	5.5 Magnetic Flux
	5.6 Magnetic Energy
	5.7 Inductance and Magnetic Circuits
		5.7.1 Mutual Inductance
		5.7.2 Self Inductance
		5.7.3 Magnetic Circuits
Part III Time-Dependent Electromagnetics
6 Quasi-static and Time-Dependent Fields
	6.1 Quasi Statics
		6.1.1 Quasi Magnetostatics
	6.2 Electromagnetics and the Poynting Theorem
		6.2.1 Poynting Theorem
		6.2.2 Average and Complex Poynting Vectors
7 Plane-Wave Propagation
	7.1 Source-Free Maxwell Equations
		7.1.1 The Homogeneous Wave Equation
		7.1.2 Solution of the Scalar Wave Equation
	7.2 Solution of the Frequency-Domain, Source-Free Maxwell Equations
	7.3 Propagation in a Dissipative Dielectric-Magnetic Medium
	7.4 Polarization State
		7.4.1 Linear Polarization State
		7.4.2 Circular Polarization State
		7.4.3 Elliptical Polarization State
8 Plane-Wave Reflection and Refraction
	8.1 Normal Incidence
	8.2 Oblique Incidence
		8.2.1 Perpendicular Polarization
		8.2.2 Parallel Polarization
9 Transmission Lines
	9.1 From Field Theory to Circuit Theory
		9.1.1 Voltage and Current Waves
		9.1.2 Transmission Line Parameters
	9.2 Telegrapher Equations
	9.3 Input Impedance
		9.3.1 Load Power
		9.3.2 Impedance Matching
	9.4 Transmission Line Transients
10 Waveguides and Cavities
	10.1 Boundary-Value Problems
	10.2 Rectangular Waveguides
		10.2.1 Decomposition into Axial Components
		10.2.2 Axial Components Equations
		10.2.3 Some Aspects
	10.3 Transverse Magnetic (TM) Mode
	10.4 Transverse Electric (TE) Mode
	10.5 Power and Attenuation in Waveguides
		10.5.1 Power
		10.5.2 Attenuation
	10.6 Rectangular Cavity
		10.6.1 Transverse Magnetic (TM) Mode
		10.6.2 Transverse Electric (TE) Mode
Part IV Radiation and Antennas
11 Electromagnetic Radiation and Auxiliary Potentials
	11.1 Solution Procedure
	11.2 The Magnetic Vector Potential
		11.2.1 Definition
		11.2.2 Governing Equation
	11.3 The Electric Vector Potential
		11.3.1 Definition
		11.3.2 Governing Equation
	11.4 Total Electric Field and Magnetic Field Phasors
	11.5 Solution of the Inhomogeneous Vector Helmholtz Equation
	11.6 Time-Domain Radiation
	11.7 Far-Zone Approximation
	11.8 Current Distribution
12 Antenna Fundamentals
	12.1 Antenna Regions
	12.2 Radiation Properties
		12.2.1 Radiation Power
		12.2.2 Radiation Intensity
		12.2.3 Antenna Pattern
		12.2.4 Directivity
		12.2.5 Antenna Polarization
	12.3 Circuit Properties
		12.3.1 Input Impedance
		12.3.2 Radiation Resistance and Radiation Efficiency
		12.3.3 Resonance Frequency
		12.3.4 Reflection Mismatch Factor
		12.3.5 Bandwidth
	12.4 Radiation-Circuit Properties
		12.4.1 Gain
		12.4.2 Effective Area
		12.4.3 Friis Transmission Equation
13 Wire Antennas
	13.1 Dipole Antennas
		13.1.1 Hertzian Dipole
		13.1.2 Small Dipole
		13.1.3 Finite-Length Dipole
	13.2 Loop Antennas
		13.2.1 An Equivalence Theorem
	13.3 Hertzian-Dipole Reflection by an Infinite PEC
	13.4 Integral Equations
		13.4.1 The Method of Moments
		13.4.2 An Example from Electrostatics
		13.4.3 An Example from Radiation Problems
14 Antenna Arrays
	14.1 Preliminaries
		14.1.1 Single-Element Radiation Intensity
		14.1.2 Displaced, Single-Element Radiation Intensity
		14.1.3 Multi-element Radiation Intensity
	14.2 One-Dimensional, Equally-Spaced, Uniform Array
		14.2.1 FNBW and HPBW
		14.2.2 Scanning Arrays