Direct and inverse low‐frequency acoustic excitation of a layered sphere by an arbitrarily positioned point source

Abstract

A layered sphere is excited by an acoustic point source arbitrarily located inside or outside the sphere. First, the direct scattering problem is solved analytically by developing a transitions matrix methodology. Then, approximations of the acoustic far‐field in the low‐frequency regime are derived, by using asymptotic techniques, and are subsequently utilized in inverse scattering algorithms concerning either the determination of the sphere's characteristics or the parameters of an internal point source. Copyright © 2016 John Wiley & Sons, Ltd.