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Inverse Problems in Science and Engineering Vol. 00, No. 00, June 2005, 125

Summary: Inverse Problems in Science and Engineering
Vol. 00, No. 00, June 2005, 1­25
An analytic multiple frequency adjoint-based inversion
algorithm for parabolic-type approximations in ocean acoustics
Matthias Meyera
, Jean-Pierre Hermanda
, Mark Aschb
and Jean-Claude Le Gacc
aUniversit´e libre de Bruxelles, B-1050 Bruxelles, Belgique; bUniversit´e de Picardie Jules Verne,
80039 Amiens, France; cGroupe d'Etudes Sous-Marine de l'Atlantique, 29240 Brest, France.
(Submitted 9 June 2005; revised 8 September 2005)
Inverse problems in ocean acoustics are generally solved by means of matched-field inversion in
combination with meta-heuristic global search algorithms. Recently adjoint-based optimal nonlocal
boundary control has been proposed as a possible complement or alternative to the traditional geoa-
coustic inversion methods. Especially for the assessment of a shallow water environment where field
data are recorded on non-fully populated hydrophone arrays there is an inherent need for observation
over a broad range of frequencies, as it has been widely experimentally demonstrated. This paper
presents an analytic multiple frequency adjoint formulation for estimating an acoustically equivalent
model of the seabed based on local impedance boundary conditions. It is intended as a benchmark
solution for an extension of the approach to more sophisticated boundary conditions by means of au-


Source: Asch, Mark - Faculté de Mathématiques et d' Informatique, Université de Picardie Jules Verne


Collections: Mathematics; Computer Technologies and Information Sciences