Inverse potential scattering in duct acoustics.
The inverse problem of the noninvasive measurement of the shape of an acoustical duct in which one-dimensional wave propagation can be assumed is examined within the theoretical framework of the governing Klein-Gordon equation. Previous deterministic methods developed over the last 40 years have all required direct measurement of the reflectance or input impedance but now, by application of the methods of inverse quantum scattering to the acoustical system, it is shown that the reflectance can be algorithmically derived from the radiated wave. The potential and area functions of the duct can subsequently be reconstructed. The results are discussed with particular reference to acoustic pulse reflectometry.
Forbes
Barbara J
BJ
Phonologica Ltd., PO. Box 43925, London NW2 1DJ, United Kingdom. forbes@phonologica.com
Pike
E Roy
ER
Sharp
David B
DB
Aktosun
Tuncay
T