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