Least condition of the topological derivative for imaging of thin, flat dielectric inhomogeneity

Abstract

Although the topological derivative based imaging technique has shown its effectiveness for electromagnetic inhomogeneity with small thickness, no theoretical investigation has been performed concerning the least condition of the range of applied incident directions. In this study, we examine the least condition of the range of incident directions for imaging thin, flat dielectric inhomogeneity. Our study is based on the fact that the imaging function can be expressed by an infinite series of Bessel functions of integer order. Simulation results with noisy data have been presented to support our examination.