Reconstruction of Two-Dimensional Objects Buried Into Three-Part Space With Locally Rough Interfaces via Distorted Born Iterative Method

Abstract

In this paper, the reconstruction problem of inaccessible objects buried into a three-part space with locally rough interfaces is solved by Distorted Born Iterative Method (DBIM). DBIM requires the calculation of the background electric field and Green's function in every iteration step via the solution of the direct scattering problem. Here, they are calculated numerically by using the buried object approach (BOA) which is very useful in the solutions of the problems including stratified media with locally rough interfaces. Various numerical applications have been performed to demonstrate the applicability and efficiency of the method. The method was found to be very successful in reconstructing moderate contrast objects when they were buried in the middle space. In this case, the method works effectively even if the buried objects and interface roughnesses have complex geometric structures. Moreover, the multiplicity of buried objects has no negative effect on the reconstruction results. Nevertheless, the results of reconstruction deteriorate when objects are buried in the bottom space. However, the accuracies of them are still on an acceptable level in this situation.

Electromagnetic Response of Clustered Charged Particles

“…A general theoretical frame to study the multiple scattering effect in a multi-particle system has been built in previous research (Tsang et al, 2001;Mishchenko et al, 2002, Mishchenko et al 2006Altuncu et al, 2019;Huang et al, 2020). Similar to the solid-state analogy, where waves are scattered by crystals lattice, here, lattice sums of spherical harmonic functions are adopted to model the scattering from discrete particles, and the center transformation is implemented with the T-matrix approach combined with the translational addition theorems, given the differences between the Schrödinger and Maxwell equations (Popov, 2012;Tan and Tsang, 2019).…”