Multipole method for modeling linear defects in photonic woodpiles

Journal of the Optical Society of America B: Optical Physics

Volumn 27, Issue 2, 2010, Pages 246-258

  Kan, Dougal J ^a   Asatryan, Ara A ^a   Poulton, Christopher G ^a   Botten, Lindsay C ^a  

^a UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DEFECTS;

COUPLED-RESONATOR OPTICAL WAVEGUIDES; DIELECTRIC SLABS; EFFECTIVE PERMITTIVITY; LINEAR DEFECT; LINEAR WAVEGUIDES; LONG-WAVELENGTH LIMITS; LOW LOSS; MULTIPOLE METHODS; NORMAL INCIDENCE; REFLECTION AND TRANSMISSION COEFFICIENTS; SHORTER WAVELENGTH; TRANSMISSION RESONANCE; WAVE-GUIDING;

WAVEGUIDES;

EID: 76649090584     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.27.000246     Document Type: Article

References (31)

1. E. Yablonovitch, "Inhibited spontaneous emission in solidstate physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
2. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, 2008).
3. H. S. Sözüer and J. P. Dowling, "Photonic band calculations for woodpile structures," J. Mod. Opt. 41, 231-239 (1994).
4. G. A. Ozin, "The photonic opal: the jewel in the crown of optical information processing," Chem. Commun. (Cambridge) 21, 2639-2643 (2003).
5. K. Busch and S. John, "Photonic bandgap formation in certain self-organizing systems," Phys. Rev. E 58, 3896-3908 (1998).
6. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2005).
7. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a plane-wave basis," Opt. Express 8, 173-190 (2001).
8. A. Feigel, M. Veinger, B. Sfez, A. Arsh, M. Klebanov, and V. Lyubin, "Three-dimensional simple cubic woodpile photonic crystals made from chalcogenide glasses," Appl. Phys. Lett. 83, 4480-4482 (2003).
9. A. Feigel, Z. Kotler, B. Sfez, A. Arsh, M. Klebanov, and V. Lyubin, "Interference lithography for 3D photonic band gap crystal layer by layer fabrication," in Materials Research Society Symposium Proceedings, 2001, E. D. Jones, O. Manasreh, K. D. Choquette, D. J. Friedman, and D. K. Johnstone, eds., Vol. 692, K2.9.1.
10. M. Imada, L. H. Lee, M. Okano, S. Kawashima, and S. Noda, "Development of three-dimensional photonic-crystal waveguides at optical-communication wavelengths," Appl. Phys. Lett. 88, 171107 (2006).
11. J. G. Fleming, S. Y. Lin, I. El-Kady, R. Biswas, and K. M. Ho, "All-metallic three-dimensional photonic crystals with a large infrared bandgap," Nature 417, 52-55 (2002).
12. S. Wu, J. Serbin, and M. Gu, "Two-photon polymerization for three-dimensional microfabrication," J. Photochem. Photobiol., A 181, 1-11 (2006).
13. E. Nicoletti, G. Zhou, B. Jia, M. J. Ventura, D. Bulla, B. Luther-Davies, and M. Gu, "Observation of multiple higher-order stopgaps from three-dimensional chalcogenide glass photonic crystals," Opt. Lett. 33, 2311-2313 (2008).
14. G. H. Smith, L. C. Botten, R. C. McPhedran, and N. A. Nicorovici, "Cylinder gratings in conical incidence with applications to woodpile structures," Phys. Rev. E 67, 056620 (2003).
15. B. Gralak, M. de Dood, G. Tayeb, S. Enoch, and D. Maystre, "Theoretical study of photonic bandgaps in woodpile crystals," Phys. Rev. E 67, 066601 (2003).
16. A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, "Effects of disorder on wave propagation in two-dimensional photonic crystals," Phys. Rev. E 60, 6118-6127 (1999).
17. R. C. McPhedran, C. G. Poulton, N. A. Nicorovici, and A. B. Movchan, "Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material," Proc. R. Soc. London, Ser. A 452, 2231-2245 (1996).
18. J. Cheng, R. Hong, and J. Yang, "Analysis of planar defect structures in three-dimensional layer-by-layer photonic crystals," J. Appl. Phys. 104, 063111 (2008).
19. M. Okano, S. Kako, and S. Noda, "Coupling between a point-defect cavity and a line-defect waveguide in threedimensional photonic crystal," Phys. Rev. B 68, 235110 (2003).
20. G. von Freymann, S. Wong, G. A. Ozin, S. John, F. Pérez-Willard, M. Deubel, and M. Wegener, in Conference on Lasers and Electro-Optics, 2005, CTuU5, pp. 1002-1004.
21. F. García-Santamaría, M. Xu, V. Lousse, S. Fan, P. V. Braun, and J. A. Lewis, "A germanium inverse woodpile structure with a large photonic bandgap," Adv. Mater. 19, 1567-1570 (2007).
22. E. Centeno and D. Felbacq, "Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals," J. Opt. Soc. Am. A 17, 320-327 (2000).
23. S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E 71, 056606 (2005).
24. L. C. Botten, K. B. Dossou, S. Wilcox, R. C. McPhedran, C. M. de Sterke, N. A. Nicorovici, and A. A. Asatryan, "Highly accurate modelling of generalized defect modes in photonic crystals using the fictitious source superposition method," Microwave Opt. Technol. Lett. 1, 133-145 (2006).
25. G. H. Smith, L. C. Botten, R. C. McPhedran, and N. A. Nicorovici, "Cylinder gratings in conical incidence with applications to modes of air-cored photonic crystal fibers," Phys. Rev. E 66, 056604 (2002).
26. L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, and P. A. Robinson, "Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method," J. Opt. Soc. Am. A 17, 2165-2177 (2000).
27. A. Moroz, "Exponentially convergent lattice sums," Opt. Lett. 26, 1119-1121 (2001).
28. B. Gralak, S. Enoch, and G. Tayeb, "From scattering or impedance matrices to Bloch modes of photonic crystals," J. Opt. Soc. Am. A 19, 1547-1554 (2002).
29. A. Modinos, N. Stefanou, and V. Yannopapas, "Applications of the layer-KRR method to photonic crystals," Opt. Express 8, 197-202 (2001).
30. J. C. Maxwell Garnett, "Colours in metal glasses and in metallic films," Philos. Trans. R. Soc. London, Ser. A 203, 385-420 (1904).
31. N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, "Photonic bandgaps for arrays of perfectly conducting cylinders," Phys. Rev. E 52, 1135-1145 (1995).