The main theme of this highly successful book is that the transmission of energy by wave propogation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of waves and vibrations, the book also demonstrates the pattern and unity of a large part of physics.
This new edition has been thoroughly revised and has been redeisgned to meet the best contemporary standards. It includes new material on electron waves in solids using the Kronig-Penney model to show how their allowed energies are limited to Brillouin zones, The role of phonons is also discussed. An Optical Transform is used to demonstrate the modern method of lens testing. In the last two chapters the sections on chaos and solitons have been reduced but their essential contents remain.
As with earlier editions, the book has a large number of problems together with hints on how to solve them. The Physics of Vibrations and Waves, 6th Edition will prove invaluable for students taking a first full course in the subject across a variety of disciplines particularly physics, engineering and mathematics.
Spis treści
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
O autorze
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.
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