Lecture 1 Notes: Computational Acoustics
First off, welcome. I hope that these notes are interesting and helpful to you.
Also, please note that there is a set of Comments on each lecture, that go alon
Lecture 2 Notes: Velocity Potential
A. Observables, Scalar Potentials (for compressional waves)
We want to solve a full wave equation soon, and pressure, particle displacement,
and particle velocity a
Lecture 10 Notes: Central Techniques
In this final lecture, we look at Bayesian and nonlinear inverses. Sadly, due to lack of time, we
skipped the material on older, basic nonlinear methods in Chapter
Lecture 6 Notes: Finite Difference
A. Simple finite difference method for solving the mode eigenvalue problem
Rather than using the sound speed, let us define an equally useful quantity, the
slowness
Lecture 5 Notes: Corresponding Nodes
A. Rays as interfering modes
The traditional picture of modes is that of constructively interfering plane waves at
angles . We will show here that rays can be repr
Lecture 4 Notes: Virtual Modes
Dealing with the Continuum Virtual Modes:
When sound energy reflects off the seabed, a portion of it past critical angle is lost by
transmission to infinity. The same is
Lecture 3 Notes: Receiver Depth
Here, r/1,so that I=0. Due to diffraction, Iis not zero in this shadow zone region,
so this is another ray theory pathology.
We would note that caustics and shadow zone
Lecture 7 Notes: Derivation of PE
A. Derivation of basic PE
Lets look at a very clever and popular way to solve the acoustic wave equation, called
the parabolic equation (PE) method. This is an old me
Lecture 8 Notes: Lobe Equation
Some simple beamformer equations
Again, at this level, the simple concepts of beamforming should be well known, but at the risk of a little
triviality (never a great ris
Lecture 9 Notes: Spatial Entitys
The ocean water column is very much a 3-D spatial entity, and we need to
represent that structure in an economical way to deal with it in calculations. We
will discuss