A comet came from far away to the vicinity of the Earth and the Moon. This comet passes by every few decades. Although she can't remember how many ...

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Lectures on Electromagnetic Theory provides a concise, self-contained introduction to graduate-level electromagnetic theory, organized for a one-semester course. Written in a theoretical minimum style, the text emphasizes clear physical insight and mathematical precision. The five chapters cover Maxwell equations and fundamental theorems; wave propagation, plane-wave expansion, and guided waves; electromagnetic radiation and Green functions; analytical scattering theory for canonical targets; and an introduction to relativistic electrodynamics linking classical electrodynamics with special relativity. The book serves both beginning graduate students and researchers seeking a compact reference.

作者
Jake W. Liu (劉人瑋) is currently an Assistant Professor in the Department of Electronic Engineering at National Taipei University of Technology. He received the Ph.D. degree from the Graduate Institute of Communication Engineering at National Taiwan University. His research interests include antenna measurement theory, phased-array calibration at millimeter-wave frequencies, and computational electromagnetics.

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封面
書名頁
版權頁
目錄頁
Preface
Acknowledgment
List of Acronyms
1 Maxwell Equations

1.1 The Formulation of Electromagnetism

1.1.1 Integral and Differential Formulations
1.1.2 Constitutive Relations
1.1.3 Symmetry and Duality

1.2 Matching Conditions at Material Interfaces
1.3 The Wave Equation
1.4 Time-Harmonic Fields and Phasor Notation
1.5 Fundamental Theorems of Electromagnetism

1.5.1 Poynting Theorem
1.5.2 The Uniqueness Theorem
1.5.3 The Reciprocity Theorem
1.5.4 Equivalence Principle

2 Wave Propagation and Transmission

2.1 Plane Waves

2.1.1 The Plane Wave Solution
2.1.2 The Angular Spectrum Representation
2.1.3 Polarization of Plane Waves
2.1.4 Phase and Group Velocities

2.2 Plane Wave Propagation

2.2.1 Propagation in an Unbounded Medium
2.2.2 Oblique Incidence at an Interface

2.3 Waveguide Transmission

2.3.1 Solving Waveguide Problems
2.3.2 Characteristics of Waveguide Modes

3 Electromagnetic Radiation

3.1 Radiation in Free Space

3.1.1 Vector and Scalar Potentials
3.1.2 The Green Function Method
3.1.3 The General Radiation Solution
3.1.4 The Stratton-Chu Formulation

3.2 The Far-Field Approximation
3.3 Radiation from a Hertzian Dipole
3.4 Image Theory
3.5 Radiation from an Aperture

4 Electromagnetic Scattering

4.1 Cross Sections
4.2 Cylindrical Waves

4.2.1 Cylindrical Wave Solution
4.2.2 Cylindrical Wave Transformation

4.3 Scattering from PEC Cylinders
4.4 Spherical Waves

4.4.1 Spherical Wave Solution
4.4.2 Spherical Wave Transformation

4.5 Scattering from Dielectric Spheres

5 Relativistic Electrodynamics

5.1 Special Relativity and Lorentz Transformation
5.2 Lorentz Transformation of Maxwell Equations

A Vector Analysis

A.1 Vector Identities

A.1.1 Triple Products
A.1.2 Gradient Identities
A.1.3 Divergence Identities
A.1.4 Curl Identities
A.1.5 Second Derivative Identities

A.2 Orthogonal Coordinate Systems

A.2.1 Cartesian Coordinates (x, y, z)
A.2.2 Cylindrical Coordinates (ρ, ϕ, z)
A.2.3 Spherical Coordinates (r, θ, ϕ)

B Bessel Functions

B.1 Introduction
B.2 Bessel Functions of the First and Second Kind
B.3 Small- and Large-Argument Behavior
B.4 Summary of Important Relations

C Legendre Polynomials and Functions

C.1 Introduction
C.2 Legendre Polynomials
C.3 Associated Legendre Functions
C.4 Legendre Functions of the Second Kind
C.5 Summary of Important Relations

Bibliography
Index
封底

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