Phase Velocity and Group Velocity in Cylindrical and Spherical Waves

Dash IM, Fricke FR. Phase Velocity and Group Velocity in Cylindrical and Spherical Waves. In: AES Convention 126. Audio Engineering Society; 2009. Paper 7693. Available from: https://aes.org/publications/elibrary-page/?id=14889

@inproceedings{Dash2009_14889,
  author = {Dash, Ian M. and Fricke, Fergus R.},
  title = {{Phase Velocity and Group Velocity in Cylindrical and Spherical Waves}},
  booktitle = {AES Convention 126},
  note = {Paper 7693},
  year = {2009},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=14889}
}

TY  - CPAPER
TI  - Phase Velocity and Group Velocity in Cylindrical and Spherical Waves
AU  - Dash, Ian M.
AU  - Fricke, Fergus R.
T2  - AES Convention 126
M1  - Paper 7693
PY  - 2009
DA  - 2009/05/06
UR  - https://aes.org/publications/elibrary-page/?id=14889
PB  - Audio Engineering Society
LA  - en
AB  - Closed-form expressions are derived for phase velocity and group velocity in cylindrical and spherical sound waves. These are plotted and compared for orders 0, 1 and 2, but the expressions are general and may be applied to waves of any order. Dispersion characteristics of these waves are examined and discussed. The implications for thermodynamic applicability of the wave equation and for application of Huygens’ principle are discussed.
ER  -