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Effective Medium Theory for Calculating Reflectance from Metal–Dielectric Multilayered Structure
Shinji Kameda,
Akio Mizutani, and
Hisao Kikuta
School of Engineering, Osaka Prefecture University, Sakai 599-8531, Japan
(Received October 13, 2011; accepted February 12, 2012; published online March 23, 2012)
An effective medium theory (EMT) for calculating optical reflectance from a surface of metal-and-dielectric multilayered structures (MDMS) has been described. MDMS is a strongly-anisotropic optical medium of which the dispersion surface is cylindrical for transverse-magnetic (TM) polarized light. A coefficient of reflection has been derived by applying the dispersion surface of MDMS to the phase-matching condition and the boundary conditions at the interface between an isotropic medium and the MDMS. The reflectance calculated by this anisotropic effective medium theory has agreed with the results by the finite-difference time-domain (FDTD) method, even for oblique incidence. Moreover, transmittance and reflectance from a finite thick MDMS layer are also derived by using the effective medium theory.
URL:
http://jjap.jsap.jp/link?JJAP/51/042202/
DOI: 10.1143/JJAP.51.042202
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