An inverse problem of ocean acoustics
نویسندگان
چکیده
منابع مشابه
An inverse problem of ocean acoustics
Let ∆u+ kn(z)u = − 2πr f(z) in R × [0, 1], (1) u(x, 0) = 0, u(x, 1) = 0, (2) where u = u(x, z), x := (x1, x2), r := |x|, x3 := z, u′ = ∂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(...
متن کامل0 An inverse problem of ocean acoustics ∗ †
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...
متن کاملInverse obstacle transmission problem in acoustics
The results of inverse scattering of plane acoustic waves from penetrable, homogeneous acoustic obstacles in two space dimensions are reported. The shape and the material parameters of the obstacles are recovered from both 360◦ and limited-aperture, far-field patterns in the presence of random noise. The forward problem is solved via a combination of shape differentiation of the scattered field...
متن کاملOn the near field measurement for the inverse scattering problem for ocean acoustics
Recently a near field measurement approach has been proposed to deal with inverse ocean acoustics. It uses the near field of the scattered wave instead of the far field pattern. In this paper we justify how this near field of the scattered wave can be determined by the given Green’s function on some surface surrounding the object to detect. This justifies the usual measurements in ocean acousti...
متن کاملAN INVERSE PROBLEM WITH UNKNOWN RADIATION TERM
In this paper, we consider an inverse problem of linear heat equation with nonlinear boundary condition. We identify the temperature and the unknown radiation tern from an overspecified condition on the boundary
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inverse and Ill-posed Problems
سال: 2001
ISSN: 1569-3945,0928-0219
DOI: 10.1515/jiip.2001.9.1.95