![Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5928/TOC-Subject-Sample-2021-Computer-Science.jpg"})
Abstract
We introduce a multistep reciprocity gap functional method to reconstruct the support of a target embedded in a multi-layered medium from near field measurements at a fixed frequency. The approach is based on the use of the standard reciprocity gap functional method for homogeneous background to strip the layers and recover the data at each interface by means of the so-called interior transmission problem and then, at the last step, to reconstruct the support of the scatterer. The advantage of this approach is that it avoids computing the Green's function for multi-layered medium. Numerical examples are given, showing the performance of our reconstruction algorithm.
Acknowledgements
The research of F. Cakoni was supported in part by AFOSR Grant FA9550-11-1-0189 and NSF Grant DMS-1106972. The research of M. Di Cristo was supported in part by DEPSCoR Grant W911NF-07-1-0422. The research of J. Sun was supported in part by DEPSCoR Grant W911NF-07-1-0422 and NSF Grant DMS-1016092.