Course Meeting Times
Lectures: 2 sessions / week, 1.5 hours / session
This course discusses theoretical concepts and analysis of wave problems in science and engineering. Examples are chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications.
- Sample wave problems and elementary concepts
- Taut string, elastic rod
- Shallow-water waves, acoustic waves in a pipe
- Traffic flow, blood flow in arteries
- Exponential notation, frequency, wave number, phase velocity, etc.
- One-dimensional propagation
- The wave equation: transient responses, characteristics
- Dispersion: rod on elastic foundation, flexural waves in a beam
- Group velocity: dispersion of transient waves, stationary phase
- Group velocity and energy transport
- Scattering of harmonic waves, radiation condition
- Two-dimensional propagation
- Plane waves, sound in homogeneous fluids
- Nearly plane waves, geometrical acoustics
- P, SV and SH waves in elastic solids
- Rayleigh waves in half space, Love waves in a layered medium
- Reflection and refraction from a plane interface, mode conversion
- Scattering of elastic waves, diffraction, parabolic approximation
- Waves in an elastic layer
- Free-surface and internal gravity waves in fluids
- Free-surface waves: dispersion relation, group velocity, phase velocity
- Waves in a current, ship waves
- Transients due to impulsive forcing
- Internal waves in a stratified fluid, anisotropic wave propagation
- Modes in a stratified fluid layer
- Waves in periodic media
- Bloch–Floquet theory
- Stop bands, pass bands
- Bragg resonance
The subject is based on the material presented in the lectures. There is no official textbook.
There were 5 problem sets when the course was taught on MIT campus. They are not available here.
There are two quizzes: a mid-term quiz and a final quiz. Both quizzes are take-home. There is no final exam.