Title
Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide.
Abstract
We shall derive a direct sampling method for the recovery of wave-penetrable inhomogeneous scatterers in a three-dimensional stratified ocean waveguide. The proposed method is simple, straightforward and computationally efficient since no matrix inversions, optimizations or solutions of ill-posed linear systems are involved. Moreover, it is highly tolerant to noise and is applicable with a few scattered fields corresponding to only two or four incidences. In addition, a priori knowledge of either the number of disconnected components or the physical features of the unknown obstacles is not required by the direct sampling method. A mathematical derivation is provided for its validation and several extensive numerical experiments are shown to evaluate the effectiveness and feasibility of the newly proposed method.
Year
DOI
Venue
2018
10.1016/j.cam.2018.01.031
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
35R30,41A27,76Q05
Applied mathematics,Linear system,Inversion (meteorology),Mathematical analysis,Matrix (mathematics),Waveguide,A priori and a posteriori,Direct sampling,Mathematics
Journal
Volume
Issue
ISSN
338
C
0377-0427
Citations 
PageRank 
References 
1
0.38
5
Authors
3
Name
Order
Citations
PageRank
Keji Liu1184.04
Yongzhi Xu2134.85
Jun Zou3123.37