23 October 2001 Band-limited uniform diffuser in transmission II: a multilayer system
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Abstract
In this work we consider a structure consisting of a dielectric medium characterized by a dielectric constant ε1 in the region x3 > H, a second dielectric medium characterized by a dielectric constant ε2 in the region ζ(x1) < x < H, and vacuum in the region x < ζ(x1). The surface profile function ζ(x1) is assumed to be a single-valued function of x1 that is differentiable and constitutes a random process. The structure is illuminated from the region x3 > H by s-polarized light whose plane of incidence is the x1x3-plane. By the use of geometrical optics limit of phase perturbation theory we show how to design the surface profile function ζ(x1) in such a way that the mean differential transmission coefficient has a prescribed form within a specific range of the angles of transmission, and vanishes outside this range. In particular, we consider the case that the incident s-polarized light in incident normally on this structure, and the mean intensity of the transmitted light is constant within a specific range of the angle of transmission, and vanishes outside it. Numerical simulation calculations show that the transmitted intensity indeed has this property.
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Alexei A. Maradudin, Eugenio R. Mendez, Tamara A. Leskova, Ingve Simonsen, "Band-limited uniform diffuser in transmission II: a multilayer system", Proc. SPIE 4447, Surface Scattering and Diffraction for Advanced Metrology, (23 October 2001); doi: 10.1117/12.446727; https://doi.org/10.1117/12.446727
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