Wave Propagation

Calendar

WEEK #	TOPICS	KEY DATES
1	Sample Wave Problems Transverse Vibration of a Taut String Longitudinal Vibration of an Elastic Rod Traffic Flow on a Freeway	Problem set 1 out
2	Sample Wave Problems (cont.) Wave Propagation in Arteries Shallow Water Waves and Linearization Sound in Fluids Flexural Waves in a Beam on an Elastic Foundation	Problem set 1 due
3	One Dimensional Waves 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	Problem set 2 out
4	One Dimensional Waves (cont.) 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	Problem set 2 due
5	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	Problem set 3 out
6	Two Dimensional Waves (cont.) Reflection of Elastic Waves from a Plane Boundary Scattering of Monochromatic SH Waves Diffraction of SH Wave by a Long Crack Rayleigh Surface Waves	Problem set 3 due
7	Two Dimensional Waves (cont.) Elastic Waves due to a Load Traveling on the Ground Surface Partial Wave Expansion Approximate Evaluation of an Integral	Mid-term quiz out
8	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	Mid-term quiz due
9	Waves in Water (cont.) Narrow-banded Dispersive Waves in General Radiation of Surface Waves Forced by an Oscillating Pressure The Kelvin Pattern of Ship Wave	Problem set 4 out
10	Waves in Water (cont.) 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	Problem set 4 due
11	Wave Localization Wave Localization in a Random Medium References	Problem set 5 out
12	Forced Dispersive Waves Along a Narrow Channel Free Wave Propagation Along a Narrow Waveguide	Problem set 5 due
13	Forced Dispersive Waves Along a Narrow Channel (cont.) Forced Wave Propagation Along a Narrow Waveguide Initial Boundary Value Problem	Final quiz out
14	Internal Waves in a Stratified Fluid Introduction Governing Equations for Incompressible Density-stratified Fluid The Buoyancy Frequency (Brunt-Vaisala Frequency)	Final quiz due
15	Internal Waves in a Stratified Fluid (cont.) Internal Gravity Waves in Unbounded Stratified Fluid Waveguide Behavior