Interior and exterior sound field control using general two-dimensional first-order sources.

@article{Poletti2011InteriorAE,
  title={Interior and exterior sound field control using general two-dimensional first-order sources.},
  author={Mark A. Poletti and Thushara Dheemantha Abhayapala},
  journal={The Journal of the Acoustical Society of America},
  year={2011},
  volume={129 1},
  pages={
          234-44
        }
}
Reproduction of a given sound field interior to a circular loudspeaker array without producing an undesirable exterior sound field is an unsolved problem over a broadband of frequencies. At low frequencies, by implementing the Kirchhoff-Helmholtz integral using a circular discrete array of line-source loudspeakers, a sound field can be recreated within the array and produce no exterior sound field, provided that the loudspeakers have azimuthal polar responses with variable first-order responses… 

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