I have recently finished the official version of my doctoral dissertation on the theory of sound field synthesis. You can obtain a pdf from here.
Please cite as
Jens Ahrens: The Single-layer Potential Approach Applied to Sound Field Synthesis Including Cases of Non-enclosing Distributions of Secondary Sources. Doctoral dissertation, Technische Universität Berlin, 2010
It includes (amongst other things):
- fundamentals of Wave Field Synthesis, Near-field Compensated Higher Order Ambisonics, and Spectral Division Method
- extensive analyses of spatial aliasing artifacts
It does not include (amongst other things):
- traditional Ambisonics
- practical applications like moving sources, focused sources, etc.
- perceptual expertiments