Wave equation in cylindrical and spherical co-ordinate systems. Propagation in waveguides. Diffraction: the Rayleigh integral and the Helmholtz-Kirchhoff integral. Green's function and angular spectrum methods. Diffraction of sound beams: Gaussian beams, unfocused and focused sources, and arrays. Diffraction by apertures, discs and wedges. Scattering of sound; Rayleigh scattering, scattering cross-section, elastic scatterers. Propagation in inhomogeneous media: rays, the eikonal equation, the Blokhintzev invariant and the acoustic field near caustics. Absorption and dispersion of acoustic waves. Transmission and reflection at a fluid-solid interface.
Robin Cleveland
Office: ENG 416
Department of Aerospace and Mechanical Engineering
Boston University
110 Cummington Street
Boston MA 02215
Phone: 617-353-7767
Email: robinc@bu.edu
Mon and Wed 2-4pm SOC B65 (Basment, Sociology)
By appointment
D.T. Blackstock, Fundamentals of Physical Acoustics, (Wiley 2000)
A.D. Pierce, Acoustics:An Introdution to Its Physical Principle and Applications, (ASA-AIP, 1994)
P. M. Morse and K. U. Ingaard, Theoretical Acoustics, (Princeton University Press, 1986).
Further Reading:
Kinsler, Frey, Coppens and Sanders, Fundamentals of Acoustics, (Wiley, 1982)
S. Temkin, Elements of Acoustics (ASA, AIP, 2001)
L. D. Landau and E. M. Lifshitz, Fluid mechanics (Butterworth Heinemann, Oxford, UK, 1997)
Homework 20%
Project 10%
Test 1 22.5%
Test 2 22.5%
Final Exam 25%
Mid-term tests: In class - dates subject to change.
Test 1: Wed 25 FebFinal Exam:
| robinc@bu.edu | http://people.bu.edu/robinc/me720 | January 2009 |