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A locally one‐dimensional finite difference time domain method for the analysis of a periodic structure at oblique incidence
Author(s) -
Wakabayashi Y.,
Shibayama J.,
Yamauchi J.,
Nakano H.
Publication year - 2011
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2011rs004730
Subject(s) - finite difference time domain method , oblique case , dispersion (optics) , incidence (geometry) , periodic boundary conditions , finite difference method , mathematics , grating , optics , perfectly matched layer , time domain , photonic crystal , boundary value problem , mathematical analysis , physics , computer science , computer vision , philosophy , linguistics
An implicit finite difference time domain (FDTD) method is developed to analyze periodic structures at oblique incidence. The split‐field technique is applied to the locally one‐dimensional (LOD) FDTD method with the periodic boundary condition. In addition, the dispersion control parameters are introduced to reduce the numerical dispersion error. The effectiveness of the present method is investigated through the analysis of a photonic band gap structure. It is shown that the computational time is reduced to ≅16% of that of the explicit FDTD method with acceptable results being maintained. As an application, a broadband mirror consisting of a subwavelength grating is analyzed and discussed.