Do Shape Details Affect the Acoustic Response of a Room? An Historical Survey of Mode Count Formulas, Including Recent Development
Friday, May 8, 1998 4:00 p.m. Professor C. L. Morfey Institute of Sound & Vibration Research University of Southampton Southampton, UK http://www.soton.ac.uk More than 80 years ago, Weyl showed that the number of Helmholtz-equation eigenvalues smaller than k2, in a 3D enclosure of arbitrary shape, approaches k3V/6 pin the short-wavelength limit. He also conjectured a…