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Fall 2004

Lecture Notes

Course lecture notes.
TOPICS	NOTES
Chapter 1: Sample Wave Problems 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	(PDF)
Chapter 2: One Dimensional Waves General Solution to Wave Equation Branching of Arteries Waves in an Infinite Domain due to Initial Disturbances Reflection of Shallow Water Waves from a Cliff 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	(PDF)
Chapter 3: Two Dimensional Waves 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	(PDF)
Chapter 4: Waves in Water 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	(PDF)
Chapter 5: Miscellaneous Topic Wave Localization in a Random Medium References	(PDF)
Chapter 6: Forced Dispersive Waves Along a Narrow Channel Free Wave Propagation Along a Narrow Waveguide Forced Wave Propagation Along a Narrow Waveguide Initial Boundary Value Problem	(PDF)
Chapter 7: Internal Waves in a Stratified Fluid Introduction Governing Equations for Incompressible Density-stratified Fluid The Buoyancy Frequency (Brunt-Vaisala Frequency) Internal Gravity Waves in Unbounded Stratified Fluid Waveguide Behavior	(PDF)