scholarly journals A shallow-water ocean acoustics inverse problem

2005 ◽  
Vol 6 (4) ◽  
pp. 287-290 ◽  
Author(s):  
David Stickler
Keyword(s):  
Inverse Problem ◽  
Shallow Water ◽  
Ocean Acoustics

A shallow water ocean acoustics inverse problem

2004 ◽  
Vol 115 (5) ◽  
pp. 2407-2407
Author(s):  
David Stickler
Keyword(s):  
Inverse Problem ◽  
Shallow Water ◽  
Ocean Acoustics

ON THE ADIABATICITY OF ACOUSTIC PROPAGATION THROUGH NONGRADUAL OCEAN STRUCTURES

2001 ◽  
Vol 09 (02) ◽  
pp. 359-365 ◽  
Author(s):  
E. C. SHANG ◽  
Y. Y. WANG ◽  
T. F. GAO
Keyword(s):  
Inverse Problem ◽  
Shallow Water ◽  
Acoustic Field ◽  
Solitary Waves ◽  
Sound Propagation ◽  
Acoustic Propagation ◽  
Forward Problem ◽  
Internal Solitary Waves ◽  
New Criterion

To assess the adiabaticity of sound propagation in the ocean is very important for acoustic field calculating (forward problem) and tomographic retrieving(inverse problem). Most of the criterion in the literature is too restrictive, specially for the nongradual ocean structures. A new criterion of adiabaticity is suggested in this paper. It works for nongradual ocean structures such as front and internal solitary waves in shallow-water.

A Solution to the Inverse Problem in Ocean Acoustics

1992 ◽  
Vol 42 (2) ◽  
pp. 89-101 ◽  
Author(s):  
T.V. Ramana Murty ◽  
Y.K. Somayajulu ◽  
R. Mahadevan
Keyword(s):  
Inverse Problem ◽  
Ocean Acoustics

The second order resolution operator of a nonlinear ocean acoustics inverse problem.

2009 ◽  
Vol 125 (4) ◽  
pp. 2501-2501 ◽  
Author(s):  
Robert I. Odom ◽  
Andrew A. Ganse
Keyword(s):  
Inverse Problem ◽  
Second Order ◽  
Ocean Acoustics

The string density problem and the Camassa–Holm equation

2007 ◽  
Vol 365 (1858) ◽  
pp. 2299-2312 ◽  
Author(s):  
Richard Beals ◽  
David H Sattinger ◽  
Jacek Szmigielski
Keyword(s):  
Inverse Problem ◽  
Special Reference ◽  
Shallow Water ◽  
Spectral Problem ◽  
Water Waves ◽  
Shallow Water Waves ◽  
Numerical Examples ◽  
Holm Equation ◽  
Density Problem

Recently, the string density problem, considered in the pioneering work of M. G. Krein, has arisen naturally in connection with the Camassa–Holm equation for shallow water waves. In this paper we review the forward and inverse string density problems, with some numerical examples, and relate it to the Camassa–Holm equation, with special reference to multi-peakon/anti-peakon solutions. Under stronger assumptions, the Camassa–Holm spectral problem and the string density problem can be transformed to the Schrödinger spectral problem and its inverse problem. Recent results exploiting this transformation are reviewed briefly.

scholarly journals MODAL INVERSION BY USING PARAMETERIZATION WITH CHEBYSHEV POLYNOMIALS

2016 ◽  
Vol 34 (3) ◽  
Author(s):  
Fernando De Oliveira Marin ◽  
Orlando Camargo Rodríguez ◽  
Luiz Gallisa Guimarães ◽  
Carlos Eduardo Parente Ribeiro
Keyword(s):  
Inverse Problem ◽  
Least Squares ◽  
Shallow Water ◽  
Chebyshev Polynomials ◽  
Sound Speed ◽  
Fundamental Importance ◽  
Model Parameters ◽  
Travel Times ◽  
Orthogonal Functions ◽  
Least Squares Solution

ABSTRACT. This paper discusses the estimation of sound speed perturbations in a shallow water waveguide, from measurements of modal travel times. The formulation of the Inverse Problem is reduced to a least squares solution, being highlighted that the choice of discretization of the set of model parameters is of fundamental importance. In the...Keywords: shallow water, tomography, orthogonal functions. RESUMO. Este trabalho aborda a estimativa de perturbações de velocidade do som em um ambiente de águas rasas, a partir de medições de tempo de percurso modal. A formulação do Problema Inverso é reduzida a uma solução por mínimos quadrados, sendo destacado que a escolha da discretização do conjunto de parâmetros do modelo é de fundamental...Palavras-chave: águas rasas, tomografia, funções ortogonais.

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