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Optical propagation through layered anisotropic materials using effective medium theory
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Paper Abstract

Anisotropic materials can be multilayer stacks made from isotropic-isotropic, uniaxial-uniaxial or uniaxial-isotropic layers. Under certain conditions, these multilayer stacks can be modeled as a bulk anisotropic medium using effective medium theory. In this work, the effective permittivity tensor of arbitrary anisotropic layers is first derived using effective medium theory. Thereafter the Berreman matrix method is used to analyze electromagnetic propagation in this effective bulk medium. The overall transmittance and reflectance are investigated as a function of the thickness of the layers, number of layers, wavelength and the incident angle. Illustrative examples of stacks made from uniaxial-uniaxial layers and uniaxial-isotropic layers are provided. The uniaxial layers are, in turn, made from a sandwich of two isotropic layers. An example of a transmission filter comprising a multilayer stack on a substrate is also discussed, along with comparison with experimental observations.

Paper Details

Date Published: 26 February 2019
PDF: 7 pages
Proc. SPIE 10912, Physics and Simulation of Optoelectronic Devices XXVII, 109121Q (26 February 2019); doi: 10.1117/12.2515402
Show Author Affiliations
Hammid Al-Ghezi, Univ. of Dayton (United States)
Rudra Gnawali, Applied Optimization, Inc. (United States)
Univ. of Dayton (United States)
Partha P. Banerjee, Univ. of Dayton (United States)


Published in SPIE Proceedings Vol. 10912:
Physics and Simulation of Optoelectronic Devices XXVII
Bernd Witzigmann; Marek Osiński; Yasuhiko Arakawa, Editor(s)

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