Class: MW 1:30-2:45 048 Memorial Hall
Instructor:
James T. Kirby
Ocean Engineering Laboratory 205
831-2438
kirby@udel.edu
| Office Hours | Thursday 2:00 to 3:00, or by Appointment |
| Textbook | see reference list below. Additional material to be handed out in class |
| Grading | Home work 40%, Midterm 35%. Final 25%
Examinations will be take-home |
MAST 693 is a required course for POSE program. In this course we will cover the general wave mechanics theories and their applications in water waves, acoustic/seismic waves, and electromagnetic waves. The formal derivation of the wave equation as a generalized Sturm-Liouville theory as well as the solution using different boundary conditions will be discussed. As an advanced application, the forward problem of wave scattering, internal waves, wave reflection, transmission and attenuation mechanics will be covered. Related topics, such as Fourier analysis, signal processing etc., will also be presented in the class if time allowed (or will refer you to read supplementary materials for those topics). A list of the tentative lecture topics and basic materials to be covered follows.
| Preliminary Background | Math. basics
Fluids mechanics basics |
| Wave Mechanics
(Wave Equations) |
Mechanical systems
Waves in fluid media Waves in elastic media Electromagnetic waves Boundary and initial conditions |
| Solutions of the Wave Eqns. | Sturm-Liouville theory
Normal mode solutions PE approximations Introduction to numerical solution |
| Applications |   |
| Water waves: Surface waves | Wave propagation in fluid media with
free surface. Irrotational case. effect of density stratificationand |
| Water waves: Internal waves | Waves in layered media.
Waves in continuously stratified media. Wave guides and normal modes. |
| Underwater Acoustics | Acoustic Wave propagation in water and
scattering mechanics |
| Elastic waves | Waves in elastic solids.
Surface waves, body waves. Seismology. |
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