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 Liu | 1 | 18 | 4.04 |
Yongzhi Xu | 2 | 13 | 4.85 |
Jun Zou | 3 | 12 | 3.37 |