Band-limited uniform diffuser in transmission II: a multilayer system

Alexei A. Maradudin; Eugenio R. Mendez; Tamara A. Leskova; Ingve Simonsen

doi:10.1117/12.446727

23 October 2001 Band-limited uniform diffuser in transmission II: a multilayer system

Alexei A. Maradudin, Eugenio R. Mendez, Tamara A. Leskova, Ingve Simonsen

Proceedings Volume 4447, Surface Scattering and Diffraction for Advanced Metrology; (2001) https://doi.org/10.1117/12.446727
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

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.

Citation Download Citation

Alexei A. Maradudin, Eugenio R. Mendez, Tamara A. Leskova, and 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); https://doi.org/10.1117/12.446727

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