SOME REMARKS ON THE SMALL ELECTROMAGNETIC INHOMOGENEITIES RECONSTRUCTION PROBLEM

作者：Abdelaziz Batoul; El Badia Abdellatif^*; El Hajj Ahmad

来源：Inverse Problems and Imaging, 2017, 11(6): 1027-1046.

DOI：10.3934/ipi.2017047

• Inverse problem
• small electromagnetic inhomogeneities
• algebraic method
• boundary asymptotic expansion
• Holder Stability
• Helmholtz equation
• Maxwell equation

This work considers the problem of recovering small electromagnetic inhomogeneities in a bounded domain Omega subset of R-3, from a single Cauchy data, at a fixed frequency. This problem has been considered by several authors, in particular in [4]. In this paper, we revisit this work with the objective of providing another identification method and establishing stability results from a single Cauchy data and at a fixed frequency. Our approach is based on the asymptotic expansion of the boundary condition derived in [4] and the extension of the direct algebraic algorithm proposed in [1].

• 出版日期2017-12