ME 525 Applied Acoustics, 2022
Peter H. Dahl, Sr. Principal Engineer, Applied Physics Laboratory
Professor, Mechanical Engineering
University of Washington, Seattle, USA

For reference/instruction only. Notes can be used with permission:
email: dahl@apl.washington.edu

Lectures 1-3

1 Introductions, linearized conservation of mass in acoustics
2 Linearized conservation of momentum (Euler's equation), the Divergence Theorem
3 Acoustic equation of state and linearized acoustic wave equation

Lectures 4-6

4 Wave equation, plane waves, characteristic impedance, acoustic scales, introduction to spherical waves
5 Spherical waves, spherical wave impedance
6 Acoustic near and far field, Umov vector, active and reactive intensity

Lectures 7-8

7 Acoustic near and far field, Umov vector, active and reactive intensity Part 2
8 Intensity, radiated power from a spherical source, Green's function introduction

Lectures 9-12

9 Acoustic monopole and free space Green's function, acoustic doublet and dipole
10 Acoustic monopole and free space Green's function, acoustic doublet and dipole
11 Acoustic dipole
12 Combining monopoles and dipoles, the Helmholtz-Kirchhoff integral

Lectures 13-14

13 The Rayleigh integral, beam patterns, hydrodynamic, and geometric near and far field ranges
14 Numerical implementation of the Rayleigh integral

Lectures 15-17

15 Spectral analysis of acoustic data Part 1: frequency resolution and variance
16 Spectral analysis of acoustic data Part 2: windowing and time-frequency analysis with short-time FFT
17 Spectral analysis Part 3: best practice

Lectures 18-20

18 Plane wave reflection coefficient, Snell's law and the critical angle
19 Plane wave reflection coefficient continued, evanescent field, bottom loss
20 Layered media and the impedance translation theorem

Lectures 21-25

21 Working with ray theory Part 1
22 Working with ray theory Part 2, Introduction to waveguides
23 Method of normal modes, Part 1
24 Method of normal modes, Part 2

Lectures 26-28

25 Normal modes in realistic waveguides, the Pekeris waveguide
26 Mode interference pattern, eigenvalues and eigenvectors of symmetric covariance matrix (2 by 2)
27 Modal dispersion, and the 3 by 3 matrix of 3-axis acoustic velocity
28 Trapped and leaky modes, and the 4 by 4 field matrix with 3-axis velocity and pressure