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Preface
Oscillations and Waves
Richard Fitzpatrick
Professor of Physics
Preface
Simple Harmonic Oscillation
Mass on a Spring
Simple Harmonic Oscillator Equation
LC Circuits
Simple Pendula
Compound Pendula
Exercises
Damped and Driven Harmonic Oscillation
Damped Harmonic Oscillation
Quality Factor
LCR Circuits
Driven Damped Harmonic Oscillation
Driven LCR Circuits
Transient Oscillator Response
Exercises
Coupled Oscillations
Two Spring-Coupled Masses
Two Coupled LC Circuits
Three Spring-Coupled Masses
Exercises
Transverse Standing Waves
Normal Modes of a Beaded String
Normal Modes of a Uniform String
General Time Evolution of a Uniform String
Exercises
Longitudinal Standing Waves
Spring-Coupled Masses
Longitudinal Waves on a Thin Elastic Rod
Sound Waves in an Ideal Gas
Fourier Analysis
Exercises
Traveling Waves
Standing Waves in a Finite Continuous Medium
Traveling Waves in an 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
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
Sound Waves in Fluids
Exercises
Wave Pulses
Fourier Transforms
General Solution of 1D Wave Equation
Bandwidth
Exercises
Dispersive Waves
Pulse Propagation
Electromagnetic Waves in Unmagnetized Plasmas
Faraday Rotation
Electromagnetic Wave Propagation 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
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
Three-Dimensional Wave Mechanics
Particle in Finite Square Potential Well
Square Potential Barrier
Exercises
Physical Constants
Useful Mathematics
Calculus
Series Expansions
Trigonometric Identities
Electromagnetic Theory
Bibliography
About this document ...
Richard Fitzpatrick 2013-04-08
