Is Sound Field Control Determined at All Frequencies? How Is It Related to Numerical Acoustics?

Zotter F, Spors S. Is Sound Field Control Determined at All Frequencies? How Is It Related to Numerical Acoustics? In: AES Conference: 52nd International Conference: Sound Field Control - Engineering and Perception. Audio Engineering Society; 2013. Paper 1-3. Available from: https://aes.org/publications/elibrary-page/?id=16921

@inproceedings{Zotter2013_16921,
  author = {Zotter, Franz and Spors, Sascha},
  title = {{Is Sound Field Control Determined at All Frequencies? How Is It Related to Numerical Acoustics?}},
  booktitle = {AES Conference: 52nd International Conference: Sound Field Control - Engineering and Perception},
  note = {Paper 1-3},
  year = {2013},
  month = sep,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=16921}
}

TY  - CPAPER
TI  - Is Sound Field Control Determined at All Frequencies? How Is It Related to Numerical Acoustics?
AU  - Zotter, Franz
AU  - Spors, Sascha
T2  - AES Conference: 52nd International Conference: Sound Field Control - Engineering and Perception
M1  - Paper 1-3
PY  - 2013
DA  - 2013/09/06
UR  - https://aes.org/publications/elibrary-page/?id=16921
PB  - Audio Engineering Society
LA  - en
AB  - Long before audio technologists have been researching the acoustic reproduction of entire sound fields using loudspeaker arrays, numerical acousticians began to study the solution of boundary integral equations. This is particularly interesting because the fundamental question of uniqueness also appeared in numerical acoustics much earlier than it recently did in the theory of sound field synthesis, where it still appears to be pending. There were two main approaches that proved non-uniqueness at certain frequencies to be soluble by enforcing all the necessary mathematical constraints. Both are directly applicable to generally ensure uniqueness in the sound field synthesis theory based on free field monopole sources.
ER  -