Wave Propagation

Lecture Notes

WEEK #	TOPICS
1-2	Chapter 1: Sample Wave Problems (PDF) Transverse Vibration of a Taut String Longitudinal Vibration of an Elastic Rod Traffic Flow on a Freeway Wave Propagation in Arteries Shallow Water Waves and Linearization Sound in Fluids Flexural Waves in a Beam on an Elastic Foundation
3-4	Chapter 2: One Dimensional Waves (PDF) General Solution to Wave Equation Branching of Arteries Waves in an Infinite Domain due to Initial Disturbances Reflection from the Fixed End of a String Forced Waves in an Infinite Domain String Embedded in an Elastic Surrounding Dispersion from a Localized Initial Disturbance Scattering of Sinusoidal Waves General Identities in Scattering by Arbitrary in Homogeneities Refraction in a Slowly Varying Medium
5-7	Chapter 3: Two Dimensional Waves (PDF - 2.4MB) Reflection and Transmission of Sound at an Interface Equations for Elastic Waves Free Waves in Infinite Space Elastic Waves in a Plane Reflection of Elastic Waves from a Plane Boundary Scattering of Monochromatic SH Waves Diffraction of SH Wave by a Long Crack Rayleigh Surface Waves Elastic Waves due to a Load Traveling on the Ground Surface Partial Wave Expansion Approximate Evaluation of an Integral
8-10	Chapter 4: Waves in Water (PDF) Governing Equations for Waves on the Sea Surface Progressive Waves on a Sea of Constant Depth Wave Resistance of a Two-dimensional Obstacle Narrow-banded Dispersive Waves in General Radiation of Surface Waves Forced by an Oscillating Pressure The Kelvin Pattern of Ship Wave Basic Theory for Two-dimensional Internal Waves in a Stratified Fluid Internal Waves Modes for Finite N Internal Waves in a Vertically Unbounded Fluid Reflection of Internal Waves at Boundary
11	Chapter 5: Wave Localization (PDF) Wave Localization in a Random Medium References
12-13	Chapter 6: Forced Dispersive Waves Along a Narrow Channel (PDF) Free Wave Propagation Along a Narrow Waveguide Forced Wave Propagation Along a Narrow Waveguide Initial Boundary Value Problem
14-15	Chapter 7: Internal Waves in a Stratified Fluid (PDF - 1.1MB) Introduction Governing Equations for Incompressible Density-stratified Fluid The Buoyancy Frequency (Brunt-Vaisala Frequency) Internal Gravity Waves in Unbounded Stratified Fluid Waveguide Behavior