CIEG 693/MAST 693 Syllabus



MAST 693/CIEG 693
Waves in the Marine Environment (3 credits)
Spring 2002

Class: MW 1:30-2:45, 240 Alison Hall

Instructor: James T. Kirby
Ocean Engineering Laboratory 205
831-2438
kirby@udel.edu


General Information
 
Office Hours  Thursday 2:00 to 3:00, or by Appointment 
Textbook  Billingham, J. and King, A. C., 2000, "Wave Motion", Cambridge University Press.
Grading  Home work 40%, Midterm 30%. Final 30% 
Examinations will be take-home
Private Course Webpage  A web page which provides various material for student use may be found here.
In order to access this page, you must first register here.

Course Objectives

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.

Course Outline
 
Preliminary Background Basic concepts of wave propagation (BK Chapter 1)
Waves on a stretched string (BK Chapter 2)
Fluids mechanics review
Acoustic Waves Governing equations (BK 3.1)
Plane waves and energy flux (BK 3.2-3)
Waveguides (BK 3.4-5)
Acoustic sources (BK 3.6-7)
Water Waves Governing equations (BK 4.1)
Linear waves (BK 4.2)
Non-dispersive long waves (BK 4.7)
Refraction in varying depth (BK 4.8)
Effects of surface tension (BK 4.3)
Internal waves (Readings from Lighthill, Chapter 4)
Waves in Elastic Solids Governing equations (BK 5.1)
Waves in an unbounded medium (BK 5.2)
Waves in bounded media (BK 5.3-4)
Applications to seismic behavior
Electromagnetic Waves Governing equations (BK 6.1-6.4)
Plane waves (BK 6.5)
Radiation (BK 6.9)
Applications to Radar
Wave Propagation Modelling:
Normal Mode Methods		 Sturm-Liouville problem
Initial value problems
Effects of variations of properties across and along the medium
Wave Propagation Modelling:
The Refraction Approximation		 Ray-tracing methods
Local corrections near caustics
Wave Propagation Modelling:
The Parabolic Equation Method		 Weakly non-unidirectional motion
Applications to acoustic waves
Applications to water waves

Additional Reading Materials
  1. Water wave mechanics for engineers and scientists, R. G. Dean and R. A. Dalrymple, World Scientific, 1991. (reference)

  2. Waves in fluids, J. Lighthill, Cambridge University Press, 1978. (reference)

  3. Fundamentals of acoustical oceanography, H. Medwin and C. S. Clay, Academic, 1997 (reference).

  4. Mechanics of continua and wave dynamics, L.M. Brekhovskikh and V. Goncharov, Springer-Verlag, 1994. (reference)
Homework Problems till This Week

Return to Kirby's home page.
Return to CACR home page.

kirby@udel.edu
January 31, 2002