Fundamentals of Wave Phenomena, 2nd Edition

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  • Author:

  • Year: 2010

  • Format: Hardback

  • Product Code: SBEW0440

  • ISBN: 978-1-89112-192-0

  • Pagination: 450pp

  • Stock Status: In stock

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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.

It provides a unified treatment of waves that either occur naturally or can be excited and propagate 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 or electromagnetic, 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. 


Key Features

  • A unified treatment of wave phenomena
  • Includes numerical techniques using MATLAB
  • Discusses both mechanical and electrical waves
  • Necessary mathematics requires to understand the material summarized within
  • Only prerequisite is an introductory course in calculus

Book contents

1. Review of Oscillations

1.1 Introduction
1.2 Mass–Spring System
1.3 Energy Tossing in Mechanical Oscillations
1.4 Other Mechanical Oscillation Systems
1.5 Electromagnetic Oscillation
1.6 Damped Oscillation
1.7 Forced Oscillation

2. Wave Motion
2.1 Introduction
2.2 Creation of Waves on a String
2.3 Sinusoidal (Harmonic) Waves
2.4 Wave Differential Equation, Partial Differentiation
2.5 Nonsinusoidal Waves
2.6 Phase and Group Velocities, Dispersion
2.7 Superposition of Two Waves, Beats

3. Some Mathematics

4. Mechanical Waves
4.1 Introduction
4.2 Mass–Spring Transmission Line
4.3 Derivation of Wave Equation
4.4 Energy Carried by Waves
4.5 Momentum Carried by Waves
4.6 Transverse Waves on a String

5. Sound Waves in Solids, Liquids, and Gases
5.1 Introduction
5.2 Sound Velocity Along a Solid Rod
5.3 Rigorous Derivation of Sound Velocity Along a Solid Rod
5.4 Sound Waves in Liquids
5.5 Sound Waves in Gases
5.6 Intensity of Sound Waves in Gases

6. Wave Reflection and Standing Waves
6.1 Introduction
6.2 Reflection at a Fixed Boundary, Standing Waves
6.3 Reflection at a Free Boundary
6.4 Theory of Wave Reflection, Mechanical Impedance

7. Spherical and Cylindrical Waves; Waves in Nonuniform Media, and Multidimensional Waves
7.1 Introduction
7.2 Conservation of Energy Flow, Spherical Waves
7.3 Cylindrical Waves
7.4 Nonuniform Wave Medium
7.5 Multidimensional Waves

8. Doppler Effect of Sound Waves and Shock Waves
8.1 Introduction
8.2 Stationary Sound Source and Moving Observer
8.3 Moving Sound Source and Stationary Observer
8.4 General Expression for Doppler-Shifted Frequency
8.5 Shock Waves

9. Electromagnetic Waves
9.1 Introduction
9.2 Wave Equation for an LC Transmission Line
9.3 Coaxial Cable
9.4 Poynting Vector
9.5 Plane Electromagnetic Waves in Free Space
9.6 Reflection of Electromagnetic Waves
9.7 Electromagnetic Waves in Matter

10. Radiation of Electromagnetic Waves
10.1 Introduction
10.2 Fields Associated with Stationary Charge and Charge Moving with a Constant Velocity
10.3 Radiation Fields Due to an Accelerated (or Decelerated) Charge
10.4 Radiation from an Oscillating Dipole and Dipole Antenna

11. Interference and Diffraction
11.1 Introduction
11.2 Interference Between Two Harmonic Waves
11.3 Young’s Experiment
11.4 Multislit Structure
11.5 Optical Interference in Thin Films
11.6 Diffraction I (Fraunhofer diffraction)
11.7 Resolution of Optical Devices
11.8 Diffraction II (Fresnel diffraction)

12. Geometrical Optics
12.1 Introduction
12.2 Reflection and Refraction
12.3 Total Reflection
12.4 Reflection at Spherical Surfaces (Mirrors)
12.5 Spherical Aberration of Mirrors
12.6 Refraction at Spherical Surfaces
12.7 Lenses
12.8 Chromatic Aberration
12.9 Optical Instruments
12.10 Physical Meaning of Focusing

13. Fourier Analyses and Laplace Transformation
13.1 Introduction
13.2 Sum of Harmonic Functions
13.3 Fourier Series
13.4 Fourier Spectrum
13.5 Operator Method
13.6 Laplace Transform

14. Particle Nature of Light
14.1 Introduction
14.2 Photoelectric Effect and Einstein’s Photon Theory
14.3 Hydrogen Atom
14.4 De Broglie Wave

15. Nonlinear Waves
15.1 Introduction
15.2 Nonlinear Wave Equations
15.3 Characteristics
15.4 Self-Similarity

16. Solitons and Shocks
16.1 Introduction
16.2 FPU Recurrence
16.3 Properties of Solitons
16.4 Shocks

About the authors

Akira Hirose was born in Nagano, Japan, and received B.Sc. and M.Sc. from Yokohama National University, and Ph.D. from the University of Tennessee, Knoxville, all in electrical engineering. After PDF at Oak Ridge National Laboratory, he joined the Plasma Physics Laboratory, University of Saskatchewan, where he is Professor and Director. 

His main interests have been in plasma waves and instabilities, tokamak physics using STOR-M tokamak, and plasma assisted material synthesis. He authored and co-authored more than 300 refereed journal articles. He is Fellow of APS, IEEE, and Royal Society of Canada (Academy of Science), and he has been Canada Research Chair since 2001. 

Karl E. Lonngren received his B.S., M.S. and PhD from the Department of Electrical Engineering at the University of Wisconsin-Madison. He has been a Professor in the Departments of Electrical and Computer Engineering and Physics and Astronomy at the University of Iowa since 1965. 

His interests have been in linear and nonlinear wave propagation in plasmas where he is carried out theoretical and experimental research. In addition, he has carried out research at the Oak Ridge and Los Alamos national laboratories, the Royal Institute of Technology in Sweden, the University of Saskatchewan, the Institute of plasma physics in Nagoya, Japan, and the Institute of astronautical research, Tokyo Japan, and the Danish Atomic Energy Commission in Riso, Denmark. 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 University of Wisconsin.

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