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A note on an inverse scattering problem

Authors: John F. Ahner and Charles S. Kahane
Journal: Proc. Amer. Math. Soc. 73 (1979), 88-91
MSC: Primary 35R30; Secondary 35P25, 78A45
MathSciNet review: 512064
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Abstract: Here it is shown that the inverse scattering problem of a plane wave incident off a spherically symmetric medium is an improperly posed problem and that if a continuous index of refraction exists, then it is unique.

References [Enhancements On Off] (What's this?)

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  • [2] D. Colton, The scattering of acoustic waves by a spherically stratified inhomogeneous medium, Proc. Roy. Soc. Edinburgh Sect. A 76 (1977), 345-350. MR 0462119 (57:2094)
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Keywords: Inverse scattering, improperly posed problems
Article copyright: © Copyright 1979 American Mathematical Society

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