Waveguides in finite-height two-dimensional photonic crystals

Journal of the Optical Society of America B: Optical Physics

Volumn 19, Issue 9, 2002, Pages 2232-2240

  Kafesaki, M ^a   Agio, M ^b,c   Soukoulis, C M ^a,c  

^a INSTITUTE OF ELECTRONIC STRUCTURE AND LASER   (Greece)

^b UNIVERSITY OF PAVIA   (Italy)

^c IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; FINITE DIFFERENCE METHOD; PHOTONS; TIME DOMAIN ANALYSIS;

PHOTONIC CRYSTALS;

OPTICAL WAVEGUIDES;

EID: 0141563678     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.19.002232     Document Type: Article

References (35)

1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals - Molding the Flow of Light (Princeton U. Press, Princeton, N. J., 1995).
2. C. M. Soukoulis, ed., Photonic Band Gap Materials, Vol. 315 of NATO Advanced Scientific Institutes Series E, Applied Sciences (Kluwer Academic, Dordrecht, The Netherlands, 1996).
3. Special section on Electromagnetic Crystal Structures, Design, Synthesis, and Applications, A. Scherer, T. Doll, E. Yablonovitch, E. O. Everitt, and J. A. Higgins, eds., J. Lightwave Technol. 17(11), (1999)
4. C. M. Soukoulis, Photonic Crystals and Light Localization in the 21st Century (Kluwer Academic, Dordrecht, The Netherlands, 2001).
5. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
6. S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, "Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal," Science 282, 274-276 (1998).
7. M. M. Sigalas, R. Biswas, K. M. Ho, C. M. Soukoulis, and D. D. Cronch, "Waveguides in photonic band gap materials," paper presented at the Fourteenth Annual Review on Progress and Applications in Computational Electrodynamics, Monterey, Calif., 1998.
8. M. M. Sigalas, R. Biswas, K. M. Ho, C. M. Soukoulis, D. Turner, B. Vasiliu, S. C. Kothari, and S. Lin, "Waveguide bends in three-dimensional layer-by-layer photonic bandgap materials," Microwave Opt. Technol. Lett. 23, 56-59 (1999).
9. A. Chutinan and S. Noda, "Highly confined waveguides and waveguide bends in three-dimensional photonic crystals," Appl. Phys. Lett. 75, 3739-3741 (1999).
10. A. Chutinan and S. Noda, "Design for waveguides in three-dimensional photonic crystals," Jpn. J. Appl. Phys., Part 1 39, 2353-2356 (2000).
11. M. Bayindir, E. Ozbay, B. Temelkuran, M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, "Guiding, bending, and splitting of electromagnetic waves in highly confined photonic crystal waveguides," Phys. Rev. B 63, R-081107 (2001).
12. I. El-Kady, M. M. Sigalas, R. Biswas, and K. M. Ho, "Dielectric waveguides in two-dimensional photonic bandgap materials," J. Lightwave Technol. 17, 2042-2049 (1999).
13. A. Chutinan and S. Noda, "Waveguides and waveguide bends in two-dimensional photonic crystal slabs," Phys. Rev. B 62, 4488-4492 (2000).
14. S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
15. S. Lin and J. G. Fleming, "A three-dimensional optical photonic crystal," J. Lightwave Technol. 17, 1944-1947 (1999).
16. K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic band gaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413-416 (1994).
17. T. F. Krauss, R. M. de la Rue, and S. Brand, "Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths," Nature 383, 649 (1996).
18. D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, R. M. De La Rue, V. Bardinal, R. Houdre, U. Oesterle, D. Cassagne, and C. Jouanin, "Quantitative measurement of transmission, reflection, and diffraction of two-dimensional photonic band gap structures at near-infrared wavelengths, " Phys. Rev. Lett. 79, 4147-4150 (1997).
19. H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. De la Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, "Optical and confinement properties of two-dimensional photonic crystals," J. Lightwave Technol. 17, 2063-2077 (1999), and references therein.
20. T. Baba, N. Fukaya, and J. Yonekura, "Observation of light propagation in photonic crystal optical waveguides with bends," Electron. Lett. 35, 654-655 (1999).
21. M. Tokushima, H. Kosaka, A. Tomita, and H. Yamada, "Lightwave propagation through a 120° sharply bent single-line-defect photonic crystal waveguide," Appl. Phys. Lett. 76, 952-954 (2000).
22. M. Loncar, D. Nedeljkovic, T. Doll, J. Vuckovic, A. Scherer, and T. P. Pearsall, "Waveguiding in planar photonic crystals," Appl. Phys. Lett. 77, 1937-1939 (2000).
23. E. Chow, S. Y. Lin, S. G. Johnson, P. B. Villeneuve, J. D. Joannopoulos, J. R. Wendt, G. A. Vawter, W. Zubrzycki, H. Hou, and A. Alleman, "Three-dimensional control of light in a two-dimensional photonic crystal slab," Nature 407, 983-986 (2000).
24. S. Y. Lin, E. Chow, and S. G. Johnson, "Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5-μm wavelength," Opt. Lett. 25, 1297-1299 (2000).
25. E. Chow, S. Y. Lin, J. R. Wendt, S. G. Johnson, and J. D. Joannopoulos, "Quantitative analysis of bending efficiency in photonic-crystal waveguide bends at λ = 1.55 μm wavelength," Opt. Lett. 26, 286-288 (2001).
26. S. G. Johnson, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
27. T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001).
28. T. Ochiai and K. Sakoda, "Nearly free-photon approximation for two-dimensional photonic crystal slabs," Phys. Rev. B 64, 045108 (2001).
29. L. C. Andreani and M. Agio, "Photonic bands and gap maps in a photonic crystal slab," IEEE J. Quantum Electron, (to be published).
30. H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, "Radiation losses of waveguide-based two-dimensional photonic crystals: positive role of the substrate," Appl. Phys. Lett. 78, 532-534 (2000).
31. A. Taflove, Computational Electrodynamics, The Finite Difference Time Domain Method (Artech House, Boston, Mass., 1995).
32. Liao boundary conditions are based on extrapolation of the fields in space and time by use of a Newton backwarddifference polynomial. They are introduced in Z. P. Liao, H. L. Wong, B. P. Yang, and Y. F. Yuan, "A transmitting boundary for transient wave analyses," Sci. Sin., Ser. A 27, 1063-1076 (1984). Liao boundary conditions are also described in detail in Ref. 31.
33. B. D'Urso, O. Painter, J. O'Brien, T. Tombrello, A. Yariv, and A. Scherer, "Modal reflectivity in finite-depth two-dimensional photonic-crystal microcavities," J. Opt. Soc. Am. B 15, 1155-1159 (1998).
34. O. Painter, J. Vuckovic, and A. Scherer, "Defect modes of a two-dimensional photonic crystal in an optically thin dielectric slab," J. Opt. Soc. Am. B 16, 275-285 (1999).
35. A. Mekis, S. H. Fan, and J. D. Joannopoulos, "Bound states in photonic crystal waveguides and waveguide bends," Phys. Rev. B 58, 4809-4817 (1998).