Abstract
This paper considers the determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Assuming that we know the acoustic properties of the waveguide, we determine the unknown inhomogeneity by sending in incident waves from point sourses in given locations, and detecting the total waves along a line. In this paper we consider the case that wavenumber k is small. In this case we obtain the representation, uniqueness, and existence of the direct scattering problem, and the uniqueness of inverse scattering problem. Numerical examples are also presented.
This author’s research was supported in part by NSF Grant BES-9402539.
This author’s research was supported in part by grants from CECA of University of Tennessee at Chattanooga
This author’s research was supported in part by NSF Grant BES-9402539 and by grants from CECA of University of Tennessee at Chattanooga
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Gilbert, R.P., Mawata, C., Xu, Y. (2000). Determination of a Distributed Inhomogeneity in a Two-Layered Waveguide from Scattered Sound. In: Gilbert, R.P., Kajiwara, J., Xu, Y.S. (eds) Direct and Inverse Problems of Mathematical Physics. International Society for Analysis, Applications and Computation, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3214-6_5
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DOI: https://doi.org/10.1007/978-1-4757-3214-6_5
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