Contents

• Simple Harmonic Oscillation
  • Introduction
  • Mass on Spring
  • Simple Harmonic Oscillator Equation
  • LC Circuit
  • Simple Pendulum
  • Compound Pendulum
  • Exercises
  
  
• Damped and Driven Harmonic Oscillation
  • Introduction
  • Damped Harmonic Oscillation
  • Quality Factor
  • LCR Circuit
  • Driven Damped Harmonic Oscillation
  • Driven LCR Circuit
  • Transient Oscillator Response
  • Exercises
  
  
• Coupled Oscillations
  • Introduction
  • Two Spring-Coupled Masses
  • Two Coupled LC Circuits
  • Three Spring-Coupled Masses
  • Exercises
  
  
• Transverse Standing Waves
  • Introduction
  • Normal Modes of Beaded String
  • Normal Modes of Uniform String
  • General Time Evolution of Uniform String
  • Exercises
  
  
• Longitudinal Standing Waves
  • Introduction
  • Spring-Coupled Masses
  • Longitudinal Waves on Thin Elastic Rod
  • Sound Waves in Ideal Gas
  • Fourier Analysis
  • Exercises
  
  
• Traveling Waves
  • Introduction
  • Standing Waves in Finite Continuous Medium
  • Traveling Waves in Infinite Continuous Medium
  • Wave Interference
  • Energy Conservation
  • Transmission Lines
  • Normal Reflection and Transmission at Interfaces
  • Electromagnetic Waves
  • Doppler Effect
  • Wave Propagation in Inhomogeneous Media
  • Exercises
  
  
• Multi-Dimensional Waves
  • Introduction
  • Plane Waves
  • Three-Dimensional Wave Equation
  • Cylindrical Waves
  • Spherical Waves
  • Oscillation of an Elastic Sheet
  • Polarization of Electromagnetic Waves
  • Laws of Geometric Optics
  • Fresnel Relations
  • Total Internal Reflection
  • Birefringence
  • Sound Waves in Fluids
  • Exercises
  
  
• Wave Pulses
  • Introduction
  • Fourier Transforms
  • Dirac Delta Function
  • General Solution of 1D Wave Equation
  • Bandwidth
  • Bandwidth Theorem
  • Exercises
  
  
• Dispersive Waves
  • Introduction
  • Pulse Propagation
  • Electromagnetic Waves in Unmagnetized Plasmas
  • Faraday Rotation
  • Electromagnetic Waves in Magnetized Plasmas
  • Low-Frequency EM Waves in Magnetized Plasmas
  • Parallel EM Waves in Magnetized Plasmas
  • Perpendicular EM Waves in Magnetized Plasmas
  • Electromagnetic Waves in Conductors
  • Waveguides
  • Pulse Propagation in Two Dimensions
  • Gravity Waves
  • Wave Drag on Ships
  • Ship Wakes
  • Capillary Waves
  • Exercises
  
  
• Wave Optics
  • Introduction
  • Two-Slit Interference
  • Coherence
  • Multi-Slit Interference
  • Thin-Film Interference
  • One-Dimensional Fourier Optics
  • Single-Slit Diffraction
  • Multi-Slit Diffraction
  • Two-Dimensional Fourier Optics
  • Huygens–Fresnel Principle
  • Babinet's Principle
  • Diffraction from Rectangular Aperture
  • Diffraction from Straight Edge
  • Diffraction from Rectangular Slit
  • Diffraction from Straight Wire
  • Diffraction from Circular Aperture
  • Diffraction from Circular Disk
  • Exercises
  
  
• Wave Mechanics
  • Introduction
  • Photoelectric Effect
  • Electron Diffraction
  • Representation of Waves via Complex Numbers
  • Schrödinger's Equation
  • Probability Interpretation of Wavefunction
  • Wave Packets
  • Heisenberg's Uncertainty Principle
  • Wavefunction Collapse
  • Stationary States
  • Particle in Finite Square Potential Well
  • Square Potential Barrier
  • WKB Approximation
  • Cold Emission
  • Alpha Decay
  • Three-Dimensional Wave Mechanics
  • Particle in Box
  • Degenerate Electron Gas
  • White-Dwarf Star
  • Exercises
  
  
• Physical Constants
• Useful Mathematics
  • Calculus
  • Series Expansions
  • Trigonometric Identities
  
  
• Electromagnetic Theory