Fundamentals of Wave Phenomena

by Akira Hirose, Karl E. Lonngren

Overview

This textbook is written for use in any university course related to the physics of waves, wave theory, and electromagnetic waves in departments such as Physics, Electrical Engineering, Mechanical Engineering, Civil Engineering, and Mathematics. The only prerequisite knowledge is a course in calculus. This textbook provides a unified treatment of waves that either occur naturally or can be excited and propagated in various media. This includes both longitudinal and transverse waves. The book covers both mechanical and electrical waves, which are normally covered separately due to their differences in physical phenomena. This text focuses more on the similarities of all waves, mechanical orelectromagnetic, and therefore allows the reader to formulate a unified understanding of wave phenomena in its totality. This second edition contains extensive updates and advances in the understanding of wave phenomena since the publication of the first edition (1985). Numerous additional problems are now present and several chapters have been rewritten and combined. This is the first book in the Mario Boella Series on Electromagnetism in Information and Communication. Key features include: A unified treatment of wave phenomena; Numerical techniques using MATLAB; Both mechanical and electrical waves are described; Necessary mathematics required to understand the material summarized within; Only prerequisite is an introductory course in calculus.

Product Details

ISBN-13:	9781891121920
Publisher:	The Institution of Engineering and Technology
Publication date:	05/15/2010
Series:	Electromagnetic Waves
Edition description:	Revised
Pages:	402
Product dimensions:	7.60(w) x 9.40(h) x 0.80(d)

About the Author

Akira Hirose received his B.Sc. and M.Sc. from Yokohama National University, and Ph.D. from the Universityof Tennessee, Knoxville, all in electrical engineering. After a postdoctoral fellowship at Oak Ridge National Laboratory, he joined the Plasma Physics Laboratory, Universityof Saskatchewan, where he is Professor and Director. He has authored and coauthored more than 300 journal articles. He is a Fellow of APS, IEEE, and the Royal Society of Canada (Academy of Science), and has been Canada Research Chair since 2001.

Karl E. Lonngren received his B.S., M.S., and Ph.D. from the Department of Electrical Engineering at the Universityof Wisconsin-Madison. He has been a Professor in the Department of Electrical and Computer Engineering and Physics and Astronomy at the Universityof Iowa since 1965. He is the author or co-author of more than 200 journal articles and 5 technical books. He is a Fellow of the IEEE and the APS and a recipient of the Distinguished Service Citation from the Universityof Wisconsin.

Table of Contents

Preface xi

Publisher's Acknowledgements xv

Chapter 1 Review of Oscillations 1

1.1 Introduction 1

1.2 Mass Spring System 2

1.3 Energy Tossing in Mechanical Oscillations 7

1.4 Other Mechanical Oscillation Systems 11

1.5 Electromagnetic Oscillation 17

1.6 Damped Oscillation 19

1.7 Forced Oscillation 22

1.8 Problems 24

Chapter 2 Wave Motion 29

2.1 Introduction 29

2.2 Creation of Waves on a String 30

2.3 Sinusoidal (Harmonic) Waves 33

2.4 Wave Differential Equation, Partial Differentiation 37

2.5 Nonsinusoidal Waves 42

2.6 Phase and Group Velocities, Dispersion 44

2.7 Superposition of Two Waves, Beats 47

2.8 Problems 51

Chapter 3 Some Mathematics 53

3.1 Taylor Series Expansion 53

3.2 Complex Numbers and Variables 56

3.3 Problems 59

Chapter 4 Fundamentals of Mechanical Waves 61

4.1 Introduction 61

4.2 Mass-Spring Transmission Line 62

4.3 Derivation of a Wave Equation 64

4.4 Energy Carried by Waves 68

4.5 Momentum Carried by Waves 71

13.3 Hydrogen Atom 302

13.4 de Broglie Wave 305

13.5 Problems 306

Chapter 14 Fourier Analyses and Laplace Transformation 307

14.1 Introduction 307

14.2 Sum of Sinusoidal Functions 308

14.3 Fourier Series 311

14.4 Fourier Spectrum 314

14.5 Operator Method 318

14.6 Laplace Transform 323

14.7 Problems 328

Chapter 15 Nonlinear Waves, Solitons, Shocks, and Chaos 331

15.1 Introduction 331

15.2 Nonlinear Oscillations 331

15.3 Nonlinear Wave Equation 337

15.4 Fermi, Pasta, and Ulam Recurrence Phenomena 343

15.5 KdV Soliton Properties 346

15.6 Shocks 352

15.7 Chaos 354

15.8 Conclusion 360

15.9 Problems 360

Appendix A Constants and Units 363

A.1 Fundamental Physical Constants 363

A.2 Definition of Standards 363

A.3 Derived Units of Physical Quantities and Notation 364

Appendix B Trigonometric Identities, Calculus, and Laplace Transforms 366

B.1 Trigonometric Identities 366

B.2 Calculus 367

B.3 Power Series 368

B.4 Laplace Transforms 369

Appendix C References 371

Appendix D Answers to Selected Problems 372

Index 377