A band-limited uniform diffuser in transmission. II. A multilayer system

摘要

In this work we consider a structure consisting of a dielectric medium characterized by a dielectric constant ei in the region x_3 > H, a second dielectric medium characterized by a dielectric constant ε_2 in the region ζ(x_1) < x_3 < H, and vacuum in the region x_3 < ζ(x_1)- The surface profile function ζ(x_1) is assumed to be a single-valued function of x_1 that is differentiable and constitutes a random process. The structure is illuminated from the region x_3 > H by s-polarized light whose plane of incidence is the x_1 x_3-plane. By the use of the geometrical optics limit of phase perturbation theory we show how to design the surface profile function ζ(x_1) in such a way that the mean differential transmission coefficient has a prescribed form within a specified range of the angles of transmission, and vanishes outside this range. In particular, we consider the case that the incident s-polarized light is incident normally on this structure, and the mean intensity of the transmitted light is constant within a specified range of the angle of transmission, and vanishes outside it. Numerical simulation calculations show that the transmitted intensity indeed has this property.