Alternative Direct Sampling Method in 3D Inverse Electromagnetic Scattering Problem

In the following the recently developed direct sampling method for solving 3D inverse electromagnetic scattering problem is dealt with and an alternative indicator function decreasing the artifacts is proposed. The latter is an extension of an alternative direct sampling method recently proposed for 2D inverse acoustic case. Due to the vectorial aspect of the 3D problem the imaging test functions have to be carefully handled. Numerical simulations with synthetic data are provided to verify our suggestion and compare the result with original DSM.

I. Introduction

The main purpose of inverse electromagnetic scattering problem is to retrieve the informations (location, shape, permittivity, etc.) of one of more targets from the measured electromagnetic scattered data. Due to its various applications, for example, non-destructive testing [1], and biomedical imaging for detecting breast cancer [2], etc., analysis and development of efficient techniques have been attracting research topic.