@article {Rozier:1996:1610-1928:717,
title = "Inversion of a cylindrical vibrating body in shallow water from aspect-limited data using filtered SVD and the L-curve",
journal = "Acta Acustica united with Acustica",
parent_itemid = "infobike://dav/aaua",
publishercode ="dav",
year = "1996",
volume = "82",
number = "5",
publication date ="1996-09-01T00:00:00",
pages = "717-728",
itemtype = "ARTICLE",
issn = "1610-1928",
url = "https://www.ingentaconnect.com/content/dav/aaua/1996/00000082/00000005/art00006",
author = "Rozier, Christophe and Lesselier, Dominique",
abstract = "The distribution of the normal velocity of a cylindrical vibrating body in a shallow water waveguide is retrieved from nearfield pressures sampled by a vertical array of hydrophones placed on one side of the body only and which partially covers the water column between the bottom (fluid
penetrable) and the air surface (pressure-release). A contour integral formulation of the wavefield whose Nystr{\"o}m method yields the discrete counterpart is used, the Green's function of the layered environment being calculated by fast Fourier transforms for nonequispaced data. The ill-posed
linear inversion is performed by filtered Singular Value Decomposition, an optimum Tikhonov's regularization parameter being determined by the L-curve. Circular and elliptic contours and several types of vibration are simulated at a low and a high frequency. Regularization is needed for small
sampling steps or large data errors. The inversion method appears robust against measurement noise and uncertainty on each hydrophone location, with a generally good though often underestimated regularization parameter. In addition, strong transmission in the bottom and a short receiver array
(down to one-fifth of the water column) are factors which do not degrade the results significantly with respect to those obtained with a hard bottom and an array spanning half or more of the column.",
}