Monte Carlo based non-radiating objective function minimization for permittivity profile estimation

This paper presents an effective method to estimate the permittivity profile from the scattered field measured outside scatterers by minimizing the non-radiating objective function using Monte Carlo approach. Since the non-radiating objective function is inherently non-linear as reported in [1], it is necessary to use some random perturbation to prevent the permittivity profile estimation from getting trapped in a local minimum. To do so, we have employed a Monte Carlo approach to minimize the non-radiating objective function by searching over the solution space. The results indicate the Monte Carlo approach can converge to the correct profile despite the existence of a few local minima within the solution space.