ME 525 Applied Acoustics in a Nutshell, 2022
Peter H. Dahl, Applied Physics Laboratory
Professor, Mechanical Engineering

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

Notes 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

Notes 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

Notes 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

Notes 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

Notes 13-14

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

Notes 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

Notes 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

Notes 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

Notes 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