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Rigorous modal analysis of two‐dimensional photonic crystal waveguides
Author(s) -
Yasumoto K.,
Jia H.,
Sun K.
Publication year - 2005
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 - 10.1029/2004rs003192
Subject(s) - photonic crystal , optics , modal , physics , transverse plane , reflection (computer programming) , square lattice , lattice (music) , transverse mode , modal analysis , mathematical analysis , materials science , mathematics , condensed matter physics , acoustics , computer science , engineering , polymer chemistry , vibration , laser , structural engineering , ising model , programming language
A rigorous approach for modal analysis of two‐dimensional photonic crystal waveguides consisting of layered arrays of circular cylinders is presented. The mode propagation constants and the mode field profiles can be accurately obtained by a simpler matrix calculus, using the one‐dimensional lattice sums, the T matrix of an isolated circular cylinder, and the generalized reflection matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for lowest even and odd transverse electric modes of a coupled two‐parallel photonic crystal waveguide with a square lattice of dielectric circular cylinders in a background free space.