Reconstruction of a Spherically Symmetrical Speed of Sound
Consider the inverse acoustic scattering problem for a spherically symmetric inhomogeneity of compact support that arises, among other places, in nondestructive testing. Define the corresponding homogeneous and inhomogeneous interior transmission problems, see, e.g., [D. Colton and P. Monk, Quart. J. Mech. Math., 41 (1988), pp. 97-125]. Here the authors study the subset of transmission' eigenvalues corresponding to spherically symmetric eigenfunctions of the homogeneous interior transmission problem. It is shown in McLaughlin and Polyakov [J. Differential Equations, to appear] that these eigenvalues ...
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