Inverse problems in dielectrics

Inverse problems are problems where the answer is known, but not the question, or where the results or consequences are known, but not the cause. In this contribution specific cases of inverse problems related to dielectrics will be presented. The problems that will be discussed are resolving distribution of relaxation times from impedance measurements, determining the depolarization factors (geometrical description) in dielectric mixtures and obtaining space-charge distribution from the current measurements in laser intensity modulation method. These cases are based on Fredholm first kind integral equation. The integral is solved using a Monte Carlo integration approach- a non-parametric method that does not suffer from a-priori assumptions.