Maxwell's Equations and Their Consequences

Maxwell's Equations and Their Consequences

Elementary Electromagnetic Theory

1st Edition - January 1, 1973

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  • Authors: B. H. Chirgwin, C. Plumpton, C. W. Kilmister
  • eBook ISBN: 9781483156408

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Elementary Electromagnetic Theory Volume 3: Maxwell’s Equations and their Consequences is the third of three volumes that intend to cover electromagnetism and its potential theory. The third volume considers the implications of Maxwell's equations, such as electromagnetic radiation in simple cases, and its relation between Maxwell's equation and the Lorenz transformation. Included in this volume are chapters 11-14, which contain an in-depth discussion of the following topics: • Electromagnetic Waves • The Lorentz Invariance of Maxwell's Equation • Radiation • Motion of Charged Particles Intended to serve as an introduction to electromagnetism and potential theory, the book is for second, third, and fourth year undergraduates of physics and engineering, as they are included in their course of study. Do note that the authors assume that the readers are conversant with the basic ideas of vector analysis, including vector integral theorems.

Table of Contents

  • Preface to Volume 3

    11. Electromagnetic Waves

    11.1 Plane Electromagnetic Waves

    11.2 Reflection and Transmission: Normal Incidence

    11.3 Reflection and Refraction: Oblique Incidence

    11.4 Energy Relations for Oblique Incidence

    11.5 Total Internal Reflection

    11.6 Propagation of Waves in a Conducting Medium

    11.7 Waveguides

    11.8 The Transmission Line

    12. The Lorentz Invariance of Maxwell's Equations

    12.1 Groups of Transformations

    12.2 Four-Vectors and Six-Vectors

    12.3 The Lorentz Group

    12.4 Maxwell's Equations

    12.5 The Electromagnetic Potentials

    13. Radiation

    13.1 General Properties of Radiation

    13.2 The Hertz Vector

    13.3 Solutions with Axial Symmetry

    13.4 Discussion of the Field Strength

    13.5 Interpretation of the Results

    13.6 Other Kinds of Radiative Solutions

    13.7 The Fields of Moving Charges

    13.8 The Liénard-Wiechert Potentials

    13.9 Calculation of the Field Strengths

    14. The Motion of Charged Particles

    14.1 Introduction

    14.2 Non-Relativistic Motion of an Electric Charge in an Electromagnetic Field

    14.3 Charged Particles and Currents

    14.4 Relativistic Motion of Charges

    Answers to the Exercises


Product details

  • No. of pages: 170
  • Language: English
  • Copyright: © Pergamon 1973
  • Published: January 1, 1973
  • Imprint: Pergamon
  • eBook ISBN: 9781483156408

About the Authors

B. H. Chirgwin

C. Plumpton

C. W. Kilmister

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