For this project, you develop a mathematical model explaining the transmission of acoustic signals in an ocean waveguide. Write a summary of how these signals are used in oceanographic studies. Discuss the significant parameters that affect the transmission of the acoustic signals, such as depth, temperature, and barriers, noting which simplifications are necessary in your Ray Theory method for tracing individual wavefronts throughout the waveguide. Determine a suitable method for numerically solving the differential equations described by your model, including special effects caused by discontinuities in the model, such as a reflected wave.
Take either a real experimental situation or simulated data to test your model for an array of these acoustic signals to determine the reliability of the mathematical model. Find the necessary parameters and simulate your model for a couple of situations. Vary the bottom depth, sound speed profile, and source depth to expose the subtleties of acoustic propagation in an ocean waveguide. If possible, use your predicted acoustic field at an array to localize a signal source in range and depth.
References:
You know the literature for this field better than I do. However, one source that I believe is quite good is
L. E. Kinsler, A. R. Frey, A. B. Coppens, and J. V. Sanders, Fundamentals of Acoustics.
A website with links to current research:
http://acoustics.mit.edu/faculty/henrik/henrik.html
data on oceans: