Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/nonlinear-inverse-source-problems-of-underwater-acoustics-vGawz2VLB1
References (16)
-
A. Devaney, R. Porter (1985)
Holography and the inverse source problem. Part II: Inhomogeneous mediaJournal of The Optical Society of America A-optics Image Science and Vision, 2
-
(1991)
Inverse Problems of Sound Radiation and Signal Theory -
Devaney (1938)
Dokl Akad in Russian ) Porter and Holography and the inverse source problem OptNauk SSSR, 18
-
G. Alekseyev, A. Chebotarev (1986)
Inverse problems of the acoustic potentialUssr Computational Mathematics and Mathematical Physics, 25
-
(1991)
Nonlinear inverse problems of acoustic potential. In: Ill-Posed Problems in Natural Sciences -
(1938)
On the uniqueness of solution to outer inverse problem of potential theory -
G. Alekseyev, E. Komarov (1994)
Inverse extremal problems of acoustic radiation in a three-dimensional waveguide, 2
-
(1993)
On active minimization of sound fields in layered-inhomogeneous waveguides. Akustich. Zhurn -
R. Porter, A. Devaney (1982)
Holography and the inverse source problemJournal of the Optical Society of America, 72
-
N. Bleistein, Jack Cohen (1975)
Nonuniqueness in the inverse source problem in acoustics and electromagneticsJournal of Mathematical Physics, 18
-
R. Porter, A. Devaney (1982)
Generalized holography and computational solutions to inverse source problemsJournal of the Optical Society of America, 72
-
(1991)
Nonlinear inverse problems of acoustic potential on the plane -
(1991)
Numerical simulation of extremal problems of sound radiation in a plane waveguide -
(1992)
Numerical study of nonlinear extremal problems of sound radiation in two-dimensional regular waveguides -
(1971)
Nonstationary diffraction problems for the wave equation with finite right-hand side -
(1968)
Problems aux non Homogenes et Applications
- Publisher
- de Gruyter
- Copyright
- Copyright © 2009 Walter de Gruyter
- ISSN
- 0928-0219
- eISSN
- 1569-3945
- DOI
- 10.1515/jiip.1996.4.5.359
- Publisher site
- See Article on Publisher Site
Abstract
G. V. Alekseev as well recent papers [2, 4] where the first results of theoretical study of acoustic nonlinear inverse source problems are presented for the model case when D = R 2 or D = R3 respectively. Finally, we note papers [5-8] devoted to numerical study of linear and nonlinear inverse source problems of underwater acoustics when D is a regular oceanic waveguide in R2 or R3 unbounded in horizontal directions and bounded vertically. In this paper we are concerned with theoretical study of acoustic nonlinear inverse source problems for an unbounded domain D C R3 with a reflecting boundary S which models an oceanic wavegiude. We consider two problems. The first one (Problem 2.1) consists in finding an unknown radiating system geometry (a simply connected domain ft C -D), given the distribution of the source density and the outer potential of the radiated field. Problem 2.2 consists in finding a radiating system that generates such an additional acoustic field which minimizes (or suppresses) the primary sound field, created by a noising object, over some subdomain Q of the domain D. The first problem is an acoustic analog of the corresponding gravitational inverse source problem, while the
Journal
Journal of Inverse and Ill-Posed Problems – de Gruyter
Published: Jan 1, 1996