TY - JOUR
T1 - Calculating the complex photonic band structure by the finite-difference time-domain based method
AU - Ohtera, Yasuo
PY - 2008/6/13
Y1 - 2008/6/13
N2 - A method to calculate the dispersion relation of light in dielectric periodic structures is proposed. The method utilizes the conventional finite-difference time-domain (FDTD) method based on the Yee's algorithm. The analytical space containing a periodic structure of a finite number of lattices is terminated by both periodic and absorbing boundaries. Complex Bloch wavenumbers of multiple electromagnetic modes that coexist in the structure are extracted from the field pattern created as a result of the multiple reflection between the surfaces of the structure. The validity of the method was checked through the photonic band calculation for the analytically soluble periodic structure. The method was found to be able to deal with evanescent modes as well as the propagating modes.
AB - A method to calculate the dispersion relation of light in dielectric periodic structures is proposed. The method utilizes the conventional finite-difference time-domain (FDTD) method based on the Yee's algorithm. The analytical space containing a periodic structure of a finite number of lattices is terminated by both periodic and absorbing boundaries. Complex Bloch wavenumbers of multiple electromagnetic modes that coexist in the structure are extracted from the field pattern created as a result of the multiple reflection between the surfaces of the structure. The validity of the method was checked through the photonic band calculation for the analytically soluble periodic structure. The method was found to be able to deal with evanescent modes as well as the propagating modes.
KW - Complex band structure
KW - Dispersion relation
KW - FDTD method
KW - Photonic crystal
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U2 - 10.1143/JJAP.47.4827
DO - 10.1143/JJAP.47.4827
M3 - Article
AN - SCOPUS:55049128586
VL - 47
SP - 4827
EP - 4834
JO - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes
JF - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes
SN - 0021-4922
IS - 6 PART 1
ER -