Theory of Constant Directivity Circular-Arc Line Arrays

Taylor R, Keele J,DB(. Theory of Constant Directivity Circular-Arc Line Arrays. In: AES Convention 143. Audio Engineering Society; 2017. Paper 9836. Available from: https://aes.org/publications/elibrary-page/?id=19233

@inproceedings{Taylor2017_19233,
  author = {Taylor, Richard and Keele, Jr., D. B. (Don)},
  title = {{Theory of Constant Directivity Circular-Arc Line Arrays}},
  booktitle = {AES Convention 143},
  note = {Paper 9836},
  year = {2017},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=19233}
}

TY  - CPAPER
TI  - Theory of Constant Directivity Circular-Arc Line Arrays
AU  - Taylor, Richard
AU  - Keele, Jr., D. B. (Don)
T2  - AES Convention 143
M1  - Paper 9836
PY  - 2017
DA  - 2017/10/06
UR  - https://aes.org/publications/elibrary-page/?id=19233
PB  - Audio Engineering Society
LA  - en
AB  - We develop the theory for a broadband constant-beamwidth transducer (CBT) formed by a continuous circular-arc isophase line source. Appropriate amplitude shading of the source distribution leads to a far-field radiation pattern that is constant above a cutoff frequency determined by the prescribed beam width and arc radius. We derive two shading functions, with cosine and Chebyshev polynomial forms, optimized to minimize this cutoff frequency and thereby extend constant-beamwidth behavior over the widest possible band. We illustrate the theory with simulations of magnitude responses, full-sphere radiation patterns and directivity index, for example designs with both wide- and narrow-beam radiation patterns.
ER  -