WEEK # | TOPICS | KEY DATES |
---|---|---|

1 |
## Sample Physical Origins of Wave MotionTaut String Elastic Rod Blood Flow in Arteries |
Problem set 1 out |

2 |
## Sample Physical Origins of Wave Motion (cont.)Sound in a Pipe Beam on an Elastic Foundation Traffic Flow on a Freeway |
Problem set 1 due |

3 |
## Sample Physical Origins of Wave Motion - Visit to the Nondestructive Evaluation LaboratoryLong Waves in Shallow Seas, Linearization ## One Dimensional PropagationGeneral Solution, Branching of Arteries, Impedance Waves in an Infinite Domain, D'Alembert's Theory |
Problem set 2 out |

4 |
## One Dimensional PropagationCharacteristics Semi-infinite Domain and Reflection Forced Waves in an Infinite Domain |
Problem set 2 due |

5 |
## One Dimensional Propagation (cont.)String in an Elastic Surrounding, Dispersion Group Velocity and Energy Transport Transient Dispersion, Method of Stationary Phase |
Problem set 3 out |

6 |
## One Dimensional Propagation (cont.)Method of Stationary Phase Scattering and Radiation of Harmonic Waves, Weak Scattering Strong Scattering of Long Water Waves by Depth Discontinuity |
Problem set 3 due |

7 |
## One Dimensional Propagation (cont.)Radiation Condition, Green's Function General Identities, Green Theorem Reflection in a Slowly Varying Medium, WKB Approximation |
Mid-term exam out |

8 |
## Two Dimensional PropagationReflection and Transmission of Plane Waves at an Interface Angle of Incidence, Reflection Coefficient in the Complex Wave Elastic Wave in Solid, Governing Equations |
Mid-term exam due |

9 |
## Two Dimensional Propagation (cont.)Free Waves in Infinite Space, Plane Elastic Waves Reflection of Elastic Waves from a Plane Boundary P and SV Waves |
Problem set 4 out |

10 |
## Two Dimensional Propagation (cont.)SH Waves Scattering of SH Waves The Optical Theorem on Scattering Scattering of SH Waves by a Circular Cavity |
Problem set 4 due |

11 |
## Two Dimensional Propagation (cont.)Diffraction of SH Waves by a Line Crack - Parabolic Approximation Rayleigh Surface Waves in a Half Space Elastics Waves due to a Line Load Traveling on The Ground Surface Supersonic, Transonic, and Subsonic |
Problem set 5 out |

12 |
## Waves in the SeaLinearized Equations Progressive Waves in Sea of Constant Depth. Dispersion and Flow Field. Particle Orbit and Energy Transport Wave Resistance of a Two Dimensional Obstacle |
Problem set 5 due |

13 |
## Waves in the Sea (cont.)Narrow Banded Dispersive Waves. The Schrodinger Equation for the Wave Envelope Radiation of Surface Waves Forced by an Oscillating Line Pressure on the Surface Kelvin Ship Waves |
Final exam out |

14 |
## Waves in the Sea (cont.)Internal Waves in a Stratified Fluid. Dispersion Relation Internal Waves in an Unbounded Fluid, St. Andrew's Cross ## Dispersive Waves in Random MediaLocalization by Disorder |
Final exam due |

15 |
If time permits and if there is class interest: ## Waves Through Laminated MediaEffective Equation for Thin Laminates Effective Equation for Thick Laminates or ## Nonlinear WavesTraffic Waves. Green and Red Lights Shocks and Traffic Jam Bores and Hydraulic Jumps Bore from the Breaking of a Dam |