Modeling of two-dimensional photonic crystal resonant cavities incorporating elliptically shaped dielectric cylinders

IEEE Photonics Technology Letters

Volumn 17, Issue 11, 2005, Pages 2316-2318

  Florous, Nikolaos J ^a   Saitoh, Kunimasa ^a   Koshiba, Masanori ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Analytical techniques; Electromagnetic wave scattering; Photonic bandgap (PBG) structure; Photonic crystal circuits; Resonant cavities

Indexed keywords

BAND STRUCTURE; CAVITY RESONATORS; CRYSTAL RESONATORS; CRYSTAL STRUCTURE; DEFORMATION; DIELECTRIC DEVICES; ELECTRIC FIELD EFFECTS; ELECTROMAGNETIC WAVE SCATTERING; LIGHT MODULATION; NATURAL FREQUENCIES; REFRACTIVE INDEX;

ANALYTICAL TECHNIQUES; PHOTONIC BANDGAP (PBG) STRUCTURE; PHOTONIC CRYSTAL CIRCUITS;

OPTICAL RESONATORS;

EID: 27744469941     PISSN: 10411135     EISSN: None     Source Type: Journal    
DOI: 10.1109/LPT.2005.857984     Document Type: Article

References (15)

1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light. Princenton, NJ: Princeton Univ. Press, Sep. 1995.
2. K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett., vol. 65, pp. 3152-3155, Dec. 1990.
3. S. John, "Electromagnetic absorption in a disordered medium near a photon mobility edge," Phys. Rev. Lett., vol. 53, pp. 2169-2172, Nov. 1984.
4. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, "Donor and acceptor modes in photonic band structures," Phys. Rev. Lett., vol. 67, pp. 3380-3383, Dec. 1991.
5. S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, "Experimental demonstration of guiding and bending of electromagnetic waves in photonic crystals," Science, vol. 282, pp. 274-276, Oct. 1998.
6. IEEE J. Quantum Electron. (Special Issue on Photonic Crystal), vol. 38, no. 7, pp. 724-963, Jul. 2002.
7. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O'Brien, P. D. Dakpus, and I. Kim, "Two-dimensional photonic bandgap defect mode laser," Science, vol. 284, pp. 1819-1821, Jun. 1999.
8. M. Bayndir, B. Temelkuran, and E. Ozbay, "Photonic-crystal-based beam splitters," Appl. Phys. Lett., vol. 77, pp. 3902-3904, Dec. 2000.
9. D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Amer. A, vol. 11, pp. 2526-2538, Sep. 1994.
10. J. Yonekura, M. Ikeba, and T. Baba, "Analysis of finite 2-D photonic crystals of columns and lighwave devices using the scattering matrix method," J. Lightw. Technol., vol. 17, no. 8, pp. 1500-1508, Aug. 1999.
11. R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. Stekre, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E, vol. 60, pp. 7614-7618, Dec. 1999.
12. P. M. Morse and H. Feshbach, Methods of Theoretical Physics. New York: McGraw Hill, 1953.
13. N. W. McLachlan, Theory and Application of Mathieu Functions. New York: Dover Pub., Inc, 1964.
14. K. Saermark, "A note on addition theorems for Mathieu functions," Z. Math. Phys., vol. 10, no. 1, pp. 426-428, Dec. 1959.
15. M. Sigalas and E. Chow, "Elliptical air hole waveguides in slab photonic crystals," J. Appl. Phys., vol. 93, pp. 10 125-10 127, Jun. 2003.