Preface
CHAPTER 1 Simple Harmonic Oscillation
1.1 Introduction
1.2 Mass on Spring
1.3 Simple Harmonic Oscillator Equation
1.4 LC Circuit
1.5 Simple Pendulum
1.6 Compound Pendulum
Exercises
CHAPTER 2 Damped and Driven Harmonic Oscillation
2.1 Introduction
2.2 Damped Harmonic Oscillation
2.3 Quality Factor
2.4 LCR Circuit
2.5 Driven Damped Harmonic Oscillation
2.6 Driven LCR Circuit
2.7 Transient Oscillator Response
Exercises
CHAPTER 3 Coupled Oscillations
3.1 Introduction
3.2 Two Spring-Coupled Masses
3.3 Two Coupled LC Circuits
3.4 Three Spring-Coupled Masses
Exercises
CHAPTER 4 Transverse Standing Waves
4.1 Introduction
4.2 Normal Modes of Beaded String
4.3 Normal Modes of Uniform String
4.4 General Time Evolution of Uniform String
Exercises
CHAPTER 5 Longitudinal Standing Waves
5.1 Introduction
5.2 Spring-Coupled Masses
5.3 Longitudinal Waves on Thin Elastic Rod
5.4 Sound Waves in Ideal Gas
5.5 Fourier Analysis
Exercises
CHAPTER6 Traveling Waves
6.1 Introduction
6.2 Standing Waves in Finite Continuous Medium
6.3 Traveling Waves in Infinite Continuous Medium
6.4 Wave Interference
6.5 Energy Conservation
6.6 Transmission Lines
6.7 Normal Reflection and Transmission at Interfaces
6.8 Electromagnetic Waves
6.9 Doppler Effect
6.10 Wave Propagation in Inhomogeneous Media
Exercises
CHAPTER 7 Multi-Dimensional Waves
7.1 Introduction
7.2 Plane Waves
7.3 Three-Dimensional Wave Equation
7.4 Cylindrical Waves
7.5 Spherical Waves
7.6 Oscillation of an Elastic Sheet
7.7 Polarization of Electromagnetic Waves
7.8 Laws of Geometric Optics
7.9 Fresnel Relations
7.10 Total Internal Reflection
7.11 Birefringence
7.12 Sound Waves in Fluids
Exercises
CHAPTER 8 Wave Pulses
8. l Introduction
8.2 Fourier Transforms
8.3 Dirac Delta Function
8.4 General Solution of 1D Wave Equation
8.5 Bandwidth
8.6 Bandwidth Theorem
Exercises
CHAPTER 9 Dispersive Waves
9.1 Introduction
9.2 Pulse Propagation
9.3 Electromagnetic Waves in Unmagnetized Plasmas
9.4 Faraday Rotation
95 Electromagnetic Waves in Magnetized Plasmas
9.6 Low-Frequency EM Waves in Magnetized Plasmas
9.7 Parallel EM Waves in Magnetized Plasmas
9.8 Perpendicular EM Waves in Magnetized Plasmas
9.9 Electromagnetic Waves in Conductors
9.10 Waveguides
9.11 Pulse Propagation in Two Dimensions
9.12 Giavity Waves
9.13 Wave Drag on Ships
9.14 Ship Wakes
9.15 Capillary Waves
Exercises
CHAPTER 10 Wave Optics
10.1 Introduction
10.2 Two-Slit Interference
10.3 Coherence
10.4 Multi-Slit Interference
10.5 Thin-Film Interference
10.6 One-Dimensional Fourier Optics
10.7 Single-Slit Diffraction
10.8 Multi-Slit Diffraction
10.9 Two-Dimensional Fourier Optics
10.10 Huygens-Fresnel Principle
10.11 Babinet's Principle
10.12 Diffraction from Rectangular Aperture
10.13 Diffraction from Straight Edge
10.14 Diffraction from Rectangular Slit
10.15 Diffraction from Straight Wire
10.16 Diffraction from Circular Aperture
10.17 Diffraction from Circular Disk
Exercises
CHAPTER 11 Wave Mechanics
ll.l Introduction
11.2 Photoelectric Effect
11.3 Electron Diffraction
11.4 Representation of Waves via Complex Numbers
11.5 Schrtidinger's Equation
11.6 Probability Interpretation of Wavefunction
11.7 Wave Packets
11.8 Heisenberg's Uncertainty Principle
11.9 Wavefunction Collapse
11.10 Stationary States
11.11 Particle in Finite Square Potential Well
11.12 Square Potential Barrier
11.13 WKB Approximation
11.14 Cold Emission
11.15 Alpha Decay
11.16 Three-Dimensional Wave Mechanics
11.17 Particle in Box
11.18 Degenerate Electron Gas
11.19 White-Dwarf Star
Exercises
Bibliography
Index
編輯手記