The theory for finding a set of orthogonal basis functions describing sound radiation and scattering from irregular-shaped bodies is discussed. The technique is based on the use of singular value decomposition (SVD). It is shown how the -mode shapes- of a radiating sphere, described by the complex spherical harmonics, are related to those extracted using SVD. The method is implemented numerically, using the boundary-element method (BEM), for the cases of an ellipsoid, a baffled shallow cylinder (to describe the concha), and an accurate baffled pinna to show the relationships between the basis functions on the surface of the body and those in the far field. For the latter case, numerical simulations of the mode shapes, as investigated by E. A. G. Shaw, are also presented.:
https://www.aes.org/e-lib/browse.cfm?elib=9120
Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!
This paper costs $33 for non-members and is free for AES members and E-Library subscribers.
Learn more about the AES E-Library
Start a discussion about this paper!