Notes 1-3

• 1 Small acoustic variables relative to background state, linearized conservation of momentum
• 2 Linearized conservation of mass
• 3 Acoustic equation of state and linearized acoustic wave equation

Notes 4-6

• 4 Plane waves, characteristic impedance, spherical waves
• 5 Acoustic near and far field, parameters kr and ka, kinetic and potential energy
• 6 Specific acoustic impedance for spherical wave, Jacobsen measurements versus kr , Umov vector

Notes 7-8

• 7 Complex intensity, active and reactive intensity
• 8 Spherical source, ka << 1 limit, Green's function

Notes 9-11

• 9 Acoustic monopole and free space Green's function, acoustic doublet and dipole
• 10 Acoustic doublet, air-water boundary and Lloyd Mirror problem
• 11 Acoustic dipole

Notes 12-14

• 12 Combining monopoles and dipoles, the Helmholtz-Kirchhoff integral
• 13 The Rayleigh integral, beam patterns, hydrodynamic, and geometric near and far field ranges
• 14 Numerical implementation of the Rayleigh integral, Fresnel and Fraunhofer zone

Notes 15-16

• 15 Spectral analysis of acoustic data: frequency resolution and variance
• 16 Spectral analysis of acoustic data: best practice, and time-frequency analysis with short-time FFT

Notes 17-20

• 17 Impedance tubes, Helmholtz resonator, plane wave reflection
• 18 Plane wave reflection coefficient, Snell's law and the critical angle
• 19 Plane wave reflection coefficient from layered media, impedance translation theorem
• 20 Solved problems plane wave reflection and seabed attenuation

Notes 21-22

• 21 Introduction to ray theory
• 22 Working with ray theory, approximations based on linear sound speed gradien

Notes 23-25

• 23 Waveguide propagation: Method of images and method of normal modes
• 24 Green function based on method of normal modes
• 25 Normal modes in realistic waveguides, the Pekeris waveguide

Notes 26-28

• 26 Range dependent propagation, adiabatic modes
• 27 Mode group and phase velocity