Lectures on Electromagnetic Theory
暫譯: 電磁理論講座
Jake W. Liu（劉人瑋）
- 出版商: 國立臺灣大學出版中心
- 出版日期: 2026-01-29
- 定價: $500
- 售價: 9.0 折 $450
- 語言: 英文
- 頁數: 162
- 裝訂: 平裝
- ISBN: 626776852X
- ISBN-13: 9786267768525
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相關分類:
電磁學 Electromagnetics
下單後立即進貨 (約5~7天)
相關主題
商品描述
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.
Preface
These lecture notes provide a concise yet self-contained treatment of graduate-level electromagnetic theory, organized into five chapters and intended for a one-semester course. This work does not attempt the feat of composing a full set of Large Prajñāpāramitā Sūtras; it merely tries to be a Heart Sūtra of its kind. The presentation follows a “theoretical minimum” style: rigorous enough to capture the essential physics and mathematics, while streamlined to serve both as a learning resource and as a quick reference.
The course begins with a review of Maxwell equations, fundamental theorems, and boundary conditions, establishing the foundation for all subsequent developments. Chapter 2 turns to wave propagation and transmission, introducing plane wave expansion, reflection and transmission at interfaces, and guided-wave phenomena in canonical waveguides. Chapter 3 addresses electromagnetic radiation, deriving fields from vector and scalar potentials, presenting the role of Green’s functions, and arriving at the Stratton–Chu formulation. Chapter 4 develops the theory of electromagnetic scattering, defining scattering cross sections and providing analytical treatments of canonical problems such as dielectric and perfectly conducting spheres. The notes conclude in Chapter 5 with an introduction to relativistic electrodynamics, connecting classical electromagneticswith special relativity.
These notes are written with two primary audiences in mind: graduate students beginning their study of electromagnetics, and researchers seeking a rapid but rigorous review of the field. While the material assumes familiarity with undergraduatelevel electromagnetics and vector calculus, key mathematical tools are introduced as needed. The style emphasizes clarity and physical insight, while maintaining mathematical precision. It is my hope that this text not only serves as a foundation for further study and research in electromagnetics, but also as a compact reference for revisiting the essentials when needed.
Although great care has been taken in preparing this manuscript, any remaining mistakes are entirely my own. Readers are kindly invited to point them out, and I will correct them with sincere gratitude—and perhaps mild embarrassment.
商品描述(中文翻譯)
《電磁理論講義》提供了一個簡明且自成體系的研究生級電磁理論介紹，適合一學期的課程。該書以「理論最小化」的風格撰寫，強調清晰的物理洞察力和數學精確性。五個章節涵蓋了麥克斯韋方程和基本定理；波的傳播、平面波展開和導波；電磁輻射和格林函數；經典目標的解析散射理論；以及將經典電動力學與特殊相對論聯繫起來的相對論電動力學介紹。這本書適合初學的研究生和尋求緊湊參考資料的研究人員。
前言
這些講義提供了一個簡明但自成體系的研究生級電磁理論處理，分為五個章節，旨在一學期的課程中使用。本書並不試圖編寫一整套《大般若波羅蜜多經》，而僅僅是希望成為其類似的《心經》。本書的呈現遵循「理論最小化」的風格：足夠嚴謹以捕捉基本的物理和數學，同時簡化以作為學習資源和快速參考。
課程開始於對麥克斯韋方程、基本定理和邊界條件的回顧，為後續的所有發展奠定基礎。第二章轉向波的傳播和傳輸，介紹平面波展開、界面的反射和傳輸，以及在經典波導中的導波現象。第三章討論電磁輻射，從向量和標量勢導出場，介紹格林函數的角色，並推導出Stratton–Chu公式。第四章發展電磁散射理論，定義散射截面並提供經典問題（如介電球和完美導體球）的解析處理。講義在第五章以相對論電動力學的介紹作結，將經典電磁學與特殊相對論聯繫起來。
這些講義是針對兩個主要讀者群體撰寫的：剛開始學習電磁學的研究生，以及尋求快速但嚴謹的該領域回顧的研究人員。雖然材料假設讀者對本科級電磁學和向量微積分有一定的熟悉度，但必要的關鍵數學工具會在需要時介紹。風格強調清晰性和物理洞察力，同時保持數學的精確性。我希望這本書不僅能作為進一步學習和研究電磁學的基礎，還能在需要時作為回顧基本概念的緊湊參考。
儘管在準備這份手稿時已經非常小心，但任何剩餘的錯誤完全是我自己的責任。誠摯邀請讀者指出這些錯誤，我將懷著感激之情進行修正——或許還會有些許的尷尬。
作者簡介
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.
作者簡介(中文翻譯)
劉人瑋（Jake W. Liu）目前是國立臺北科技大學電子工程系的助理教授。他於國立臺灣大學通訊工程研究所獲得博士學位。他的研究興趣包括天線測量理論、毫米波頻率的相控陣列校準以及計算電磁學。
目錄大綱
Preface
Acknowledgment
List of Acronyms
1 Maxwell Equations
1.1 The Formulation of Electromagnetism
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
2 Wave Propagation and Transmission
2.1 Plane Waves
2.2 Plane Wave Propagation
2.3 Waveguide Transmission
3 Electromagnetic Radiation
3.1 Radiation in Free Space
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
4.3 Scattering from PEC Cylinders
4.4 Spherical Waves
4.5 Scattering from Dielectric Spheres
5 Relativistic Electrodynamics
A Vector Analysis
A.1 Vector Identities
A.2 Orthogonal Coordinate Systems
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
目錄大綱(中文翻譯)
Preface
Acknowledgment
List of Acronyms
1 Maxwell Equations
1.1 The Formulation of Electromagnetism
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
2 Wave Propagation and Transmission
2.1 Plane Waves
2.2 Plane Wave Propagation
2.3 Waveguide Transmission
3 Electromagnetic Radiation
3.1 Radiation in Free Space
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
4.3 Scattering from PEC Cylinders
4.4 Spherical Waves
4.5 Scattering from Dielectric Spheres
5 Relativistic Electrodynamics
A Vector Analysis
A.1 Vector Identities
A.2 Orthogonal Coordinate Systems
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
