Table of Contents

Introduction to First Edition xi

Introduction to Second Edition xii

Introduction to Third Edition xiii

Introduction to Fourth Edition xiv

Introduction to Fifth Edition xv

Introduction to Sixth Edition xvi

Chapter Synopses xvii

Table of Constants xxi

Table of Energy Storing Processes xxii

1 Simple Harmonic Motion 1

2 Damped Simple Harmonic Motion 37

3 The Forced Oscillator 53

4 Coupled Oscillations 79

5 Transverse Wave Motion 107

6 Longitudinal Waves 151

7 Waves on Transmission Lines 171

8 Electromagnetic Waves 199

9 Waves in More than One Dimension 239

10 Fourier Methods 267

11 Waves in Optical Systems 305

12 Interference and Diffraction 333

13 Wave Mechanics 411

14 Non-linear Oscillations and Chaos 459

15 Non-linear Waves, Shocks and Solitons 505

Appendix 1: Normal Modes, Phase Space and Statistical Physics 533

Appendix 2: Kirchhoff’s Integral Theorem 547

Appendix 3: Non-Linear Schrödinger Equation 551

Appendix 4: Electromagnetic Wave Equations – Vector Method 553

Index 555

About the Author

H. J. Pain is a graduate of the united states Naval Aviation Academy, Florida, and of the Universities of St Andrews, London and Aix Marseilles. He taught physics at Imperial College, London where his research interests were in shock waves and magnetohydrodynamics.

Reviews

"This is an excellent textbook, full of interesting material clearly explained, and fully worthy of being studied by future contributors ..." (Journal of Sound and Vibration: 293, July 2006)