Numerical Analysis of Two-Dimensional Photonic Crystal Waveguide Devices Using Periodic Boundary Conditions
Summary :
This paper presents a formulation of two-dimensional photonic crystal waveguide devices formed by circular cylinders. The device structures are considered as cascade connections of straight waveguides. Decomposing the structure into layers of the cylinder arrays, the input/output properties of the devices are obtained using an analysis method of multilayer structure. We introduce periodic boundary conditions in the direction perpendicular to the wave propagation, and the Floquet-modes of each layer are calculated by the Fourier series expansion method with the help of the recursive transition-matrix algorithm. Then, the input/output properties of the devices are obtained by recursive calculation of scattering matrix with each layer. The presented formulation is validated by numerical experiments by comparing with the previous works.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E94-C No.1 pp.32-38
- Publication Date
- 2011/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E94.C.32
- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
- Category
- Numerical Techniques
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Yoshimasa NAKATAKE, Koki WATANABE, "Numerical Analysis of Two-Dimensional Photonic Crystal Waveguide Devices Using Periodic Boundary Conditions" in IEICE TRANSACTIONS on Electronics,
vol. E94-C, no. 1, pp. 32-38, January 2011, doi: 10.1587/transele.E94.C.32.
Abstract: This paper presents a formulation of two-dimensional photonic crystal waveguide devices formed by circular cylinders. The device structures are considered as cascade connections of straight waveguides. Decomposing the structure into layers of the cylinder arrays, the input/output properties of the devices are obtained using an analysis method of multilayer structure. We introduce periodic boundary conditions in the direction perpendicular to the wave propagation, and the Floquet-modes of each layer are calculated by the Fourier series expansion method with the help of the recursive transition-matrix algorithm. Then, the input/output properties of the devices are obtained by recursive calculation of scattering matrix with each layer. The presented formulation is validated by numerical experiments by comparing with the previous works.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E94.C.32/_p
Copy
@ARTICLE{e94-c_1_32,
author={Yoshimasa NAKATAKE, Koki WATANABE, },
journal={IEICE TRANSACTIONS on Electronics},
title={Numerical Analysis of Two-Dimensional Photonic Crystal Waveguide Devices Using Periodic Boundary Conditions},
year={2011},
volume={E94-C},
number={1},
pages={32-38},
abstract={This paper presents a formulation of two-dimensional photonic crystal waveguide devices formed by circular cylinders. The device structures are considered as cascade connections of straight waveguides. Decomposing the structure into layers of the cylinder arrays, the input/output properties of the devices are obtained using an analysis method of multilayer structure. We introduce periodic boundary conditions in the direction perpendicular to the wave propagation, and the Floquet-modes of each layer are calculated by the Fourier series expansion method with the help of the recursive transition-matrix algorithm. Then, the input/output properties of the devices are obtained by recursive calculation of scattering matrix with each layer. The presented formulation is validated by numerical experiments by comparing with the previous works.},
keywords={},
doi={10.1587/transele.E94.C.32},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Numerical Analysis of Two-Dimensional Photonic Crystal Waveguide Devices Using Periodic Boundary Conditions
T2 - IEICE TRANSACTIONS on Electronics
SP - 32
EP - 38
AU - Yoshimasa NAKATAKE
AU - Koki WATANABE
PY - 2011
DO - 10.1587/transele.E94.C.32
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E94-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2011
AB - This paper presents a formulation of two-dimensional photonic crystal waveguide devices formed by circular cylinders. The device structures are considered as cascade connections of straight waveguides. Decomposing the structure into layers of the cylinder arrays, the input/output properties of the devices are obtained using an analysis method of multilayer structure. We introduce periodic boundary conditions in the direction perpendicular to the wave propagation, and the Floquet-modes of each layer are calculated by the Fourier series expansion method with the help of the recursive transition-matrix algorithm. Then, the input/output properties of the devices are obtained by recursive calculation of scattering matrix with each layer. The presented formulation is validated by numerical experiments by comparing with the previous works.
ER -
English
