0 An inverse problem of ocean acoustics ∗ †
نویسنده
چکیده
Let ∆u + k 2 n(z)u = − δ(r) 2πr f (z) in R 2 × [0, 1], (1) ∂u ∂z , δ(r) is the delta-function, n(z) is the refraction coefficient, which is assumed to be a real-valued integrable function, k > 0 is a fixed wavenumber. The solution to (1)-(2) is selected by the limiting absorption principle. It is proved that if f (z) = δ(z − 1), then n(z) is uniquely determined by the data u(x 1 , 1) known ∀x 1 ∈ R 2. Comments are made concerning the earlier study of a similar problem in the literature.
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