Controlling Anderson localization in disordered heterostructures with L\'evy-type distribution

In this paper, we propose a disordered heterostructure in which the distribution of refractive index of one of its constituents follows a L\'evy-type distribution characterized by the exponent $\alpha$. For the normal and oblique incidences, the effect of $\alpha$ variation on the localization length is investigated in different frequency ranges. As a result, the controllability of Anderson localization can be achieved by changing the exponent $\alpha$ in the disordered structure having heavy tailed distribution.