General Integral Equation for the With-Height Reproduction of a Focused Source Inside

Choi JW, Kim YH. General Integral Equation for the With-Height Reproduction of a Focused Source Inside. In: AES Convention 132. Audio Engineering Society; 2012. Paper 8602. Available from: https://aes.org/publications/elibrary-page/?id=16240

@inproceedings{Choi2012_16240,
  author = {Choi, Jung-Woo and Kim, Yang-Hann},
  title = {{General Integral Equation for the With-Height Reproduction of a Focused Source Inside}},
  booktitle = {AES Convention 132},
  note = {Paper 8602},
  year = {2012},
  month = apr,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=16240}
}

TY  - CPAPER
TI  - General Integral Equation for the With-Height Reproduction of a Focused Source Inside
AU  - Choi, Jung-Woo
AU  - Kim, Yang-Hann
T2  - AES Convention 132
M1  - Paper 8602
PY  - 2012
DA  - 2012/04/06
UR  - https://aes.org/publications/elibrary-page/?id=16240
PB  - Audio Engineering Society
LA  - en
AB  - A general integral formula to reproduce sound field from a virtual sound source located inside of secondary sources is proposed. The proposed formula extends the theory on the focused sound source of Wave Field Synthesis, for the reproduction of three-dimensional sound field. To resolve the non-existence problem involved with the reproduction of a source inside, an alternative sound field satisfying homogeneous wave equation is derived. The Kirchhoff-Helmholtz integral is reformulated in such a way that the alternative field is reproduced in terms of the secondary sources distributed on a surface. Then the general equation is reduced to simpler forms using various approximations, such as single layer formula reproducing the sound field only by monopole sound sources.
ER  -