Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Optics Express

Volumn 13, Issue 11, 2005, Pages 3969-3976

  Miroshnichenko, Audrey E ^a   Kivshar, Yuri S ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL RESONATORS; CRYSTALS; GREEN'S FUNCTION; LIGHT PROPAGATION; OPTICAL DEVICES; PHOTONS; REFLECTION; RESONANCE;

DISCRETE EQUATIONS; NONLINEAR FANO RESONATORS; PHOTONIC CRYSTALS (PC); TWO DIMENSIONAL PHOTONIC CRYSTALS;

OPTICAL WAVEGUIDES;

EID: 21244431595     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OPEX.13.003969     Document Type: Article

References (19)

1. J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
2. 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).
3. 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).
4. A. Chutinan and S. Noda, "Waveguides and waveguide bends in two-dimensional photonic crystal slabs," Phys. Rev. B 62, 4488-4492 (2000).
5. R.L. Espinola, R.U. Ahmad, F. Pizzuto, M.J. Steel, and R.M. Osgood Jr.,"A study of high-index-contrast 90 degree waveguide bend structures," Opt. Express 8, 517-528 (2001).
6. 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 wavelengths," Opt. Lett. 26, 286-288 (2001).
7. S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T.F. Krauss, R. Houdré, and U. Oesterle, "Improved 60 degree bend transmission of Ssubmicron-width waveguides defined in two-dimensional photonic crystals," J. Lightwave Technol. 20, 1198-1203 (2002).
8. J. Smajic, C. Hafner, and D. Erni, "Design and optimization of an achromatic photonic crystal bend," Opt. Express 11, 1378-1384 (2003).
9. Z.Y. Li and K.M. Ho, "Light propagation through photonic crystal waveguide bends by eigenmode examinations," Phys. Rev. B 68, 045201 (12) (2003).
10. A. Talneau, M. Agio, C. M. Soukoulis, M. Mulot, S. Anand, and Ph. Lalanne,"High-bandwidth transmission of an efficient photonic-crystal mode converter," Opt. Lett. 29, 1745-1747 (2004).
11. J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," App. Phys. Lett. 84, 2022-2024 (2004).
12. I. Ntakis, P. Pottier, and R. M. De La Rue, "Optimization of transmission properties of two-dimensional photonic crystal channel waveguide bends through local lattice deformation," J. App. Phys. 96, 12-18 (2004).
13. N. Malkova, "Tunable resonant light propagation through 90° bend waveguide based on strained photonic crystal," J. Phys.: Cond. Matt. 16, 1523-1530 (2004).
14. S.F. Mingaleev, Yu.S. Kivshar, and R.A. Sammut,"Long-range interaction and nonlinear localized modes in photonic crystal waveguides," Phys. Rev. E 62, 5777-5782 (2000).
15. S.F. Mingaleev and Yu.S. Kivshar, "Effective equations for photonic-crystal waveguides and circuits," Opt. Lett. 27, 231-233 (2002).
16. S. F. Mingaleev and Yu. S. Kivshar, "Nonlinear transmission and light localization in photonic-crystal waveguides," J. Opt. Soc. Am. B 19, 2241-2249 (2002).
17. U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866-1878 (1961).
18. A.E. Miroshnichenko, S.F. Mingaleev, S. Flach, and Yu.S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71, 036626-8 (2005).
19. T. Zijlstra, E. van der Drift, M. J. A. de Dood, E. Snoeks, and A. Polman, "Fabrication of two-dimensional photonic crystal waveguides for 1.5 μm in silicon by deep anisotropic dry etching," J. Vac. Sci. Tech. B 17, 2734-2739 (1999).