Application of Padé approximation in simulating photonic crystals

Pan Tao Ti Hsueh Pao/Chinese Journal of Semiconductors

Volumn 26, Issue 7, 2005, Pages 1281-1286

  Huang, Yongzhen ^a   Chen, Qin ^a   Guo, Weihua ^a   Yu, Lijuan ^a  

^a INSTITUTE OF SEMICONDUCTORS   (China)

Author keywords

Finite difference time domain; Microcavity; Optical waveguides; Photonic bandgap; Photonic crystal

Indexed keywords

ALGORITHMS; FAST FOURIER TRANSFORMS; FREQUENCIES; OPTICAL WAVEGUIDES; PHYSICS; TIME DOMAIN ANALYSIS;

BAKER'S ALGORITHM; FINITE-DIFFERENCE TIME-DOMAIN (FDTD); MICROCAVITY; MODE FREQUENCIES; PHOTONIC BANDGAP; PHOTONIC CRYSTAL; Q-FACTORS;

CRYSTALS;

EID: 23044496297     PISSN: 02534177     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Taflove A. Computational electrodynamics: the finite-difference time-domain method. Norwood, MA: Artech House, 1995
2. Li B J, Liu P L. Numerical analysis of the whispering gallery modes by the finite-difference time-domain method. IEEE J Quantum Electron, 1996, 32: 1583
3. Hagness S C, Rafizadeh D, Ho S T, et al. FDTD microcavity simulations: design and experimental realization of waveguide-coupled single mode ring and whispering-gallery-mode disk resonators. IEEE J Lightwave Technol, 1997, 15: 2154
4. Huang Y Z, Guo W H, Wang Q M. Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator. IEEE J Quantum Electron, 2001, 37: 100
5. Ochiai T, Sakoda K. Dispersion relation and optical transmittance of a hexagonal photonic crystal slab. Phys Rev B, 2001, 63: 125107
6. Chen Q, Huang Y Z, Guo W H, et al. Modulation of photonic bandgap and localized states by dielectric constant contrast and filling factor in photonic crystals. Chinese Journal of Semiconductors, 2003, 24(12): 1233
7. Zhuang F, Xiao S S, He J P, et al. FDTD method for calculating defect modes in a two dimensional photonic crystal consisting of anisotropic cylinders. Acta Physica Sinica, 2002, 51(9): 2167(in Chinese)
8. Ko W L, Mittra R. A combination of FDTD and Prony's methods for analyzing microwave integrated circuits. IEEE Trans Microw Theory Tech, 1991, 39: 2176
9. Ritter J, Arndt F. Efficient FDTD/matrix-pencil method for the full-wave scattering parameter analysis of waveguiding structures. IEEE Trans Microw Theory Tech, 1996, 44: 2450
10. Dey S, Mittra R. Efficient computation of resonant frequencies and quality factors of cavities via a combination of the finite-difference time-domain technique and Padé approximation. IEEE Microw Guided Wave Lett, 1998, 8: 415
11. Baker G A, Gammel J L. The Padé approximant in theoretical physics. New York: Academic, 1970
12. Guo W H, Li W J, Huang Y Z. Computation of resonant frequencies and quality factors of cavities by FDTD technique and Padé approximation. IEEE Microwave Wireless Comp Lett, 2001, 11: 223
13. Berenger J P. A perfectly matched layer for the absorption of electromagnetic waves. J Comput Phys, 1994, 114: 185