Numerical Examination on Effective Permittivity of Two-Dimensional Multilayered Periodic Structures

Mitsuhiro YOKOTA  Kazumasa MATSUMOTO  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E97-C    No.12    pp.1150-1153
Publication Date: 2014/12/01
Online ISSN: 1745-1353
DOI: 10.1587/transele.E97.C.1150
Type of Manuscript: BRIEF PAPER
Category: Electromagnetic Theory
Keyword: 
effective permittivity,  multilayered periodic structures,  reflectance,  FDTD method,  

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Summary: 
The effective permittivity of the two-dimensional multilayered periodic structures which consist of the rectangular dielectric cylinders is examined numerically. The original periodic structure is replaced with a simple structure such as the dielectric slab. By using the reflectance of the periodic structure obtained by the FDTD method, the effective permittivity of the dielectric slab, which has the same reflectance as that of the periodic structure, is obtained by using the transcendental equation. In order to reduce the procedure to obtain the reflectance from the multilayered periodic structures, the reflectance from one-layered structure is used. The range of the application and validity of this procedure is examined.