Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 17, Issue 2, 2000, Pages 320-327

  Centeno, E ^a   Felbacq, D ^a  

^a Lab Sci Mat Electron d'Automat   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CRYSTALLOGRAPHY; ELECTROMAGNETIC FIELD; LIGHT; RADIATION SCATTERING; THEORETICAL MODEL;

CRYSTALLOGRAPHY; ELECTROMAGNETICS; LIGHT; MODELS, THEORETICAL; SCATTERING, RADIATION;

EID: 0034132565     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.000320     Document Type: Article

References (22)

1. D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526-2538 (1994).
2. D. Felbacq, G. Tayeb, and D. Maystre, “Localization of light by a set of parallel cylinders,” J. Mod. Opt. 42, 473-482 (1995).
3. V. Twersky, “Multiple scattering of radiation by an arbitrary configuration of parallel cylinders,” J. Acoust. Soc. Am. 24, 42-46 (1952).
4. S. C. Lee, “Scattering by closely-spaced radially stratified parallel cylinders,” J. Quant. Spectrosc. Radiat. Transfer 48, 119-130 (1992).
5. L. M. Li and Z. Q. Zhang, “Multiple-scattering approach to finite-sized photonic bandgap materials,” Phys. Rev. B 58, 9587-9590 (1998).
6. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1970).
7. P. Vincent and R. Petit, “Sur la diffraction d’une onde plane par un cylindre die´lectrique,” Opt. Commun. 5, 261-266 (1972).
8. D. Maystre and P. Vincent, “Diffraction d’une onde e´lectromagne ´tique par un objet cylindrique non infiniment conducteur et de section quelconque,” Opt. Commun. 5, 327-330 (1972).
9. M. Nevière and E. Popov, “New theoretical method for electromagnetic wave diffraction by metallic or dielectric cylinder, bare or coated with thin dielectric layer,” J. Electromagn. Waves Appl. 12, 1265-1296 (1998).
10. D. Maystre, “Electromagnetic study of photonic band gaps,” Pure Appl. Opt. 3, 975-993 (1994).
11. J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).
12. J. Broeng, S. E. Barkou, and P. St. J. Russell, “Highly increased photonic band gaps in silica/air structures,” Opt. Commun. 156, 240-244 (1998).
13. T. Sondergaard, J. Broeng, and S. E. Barkou, “Suppression of spontaneous emission in two-dimensional honeycomb photonic band structure estimated using a new effectiveindex model,” IEEE J. Quantum Electron. 34, 2308-2313 (1998).
14. D. Felbacq and G. Bouchitte´, “Homogenization of a set of parallel fibers,” Waves Random Media 7, 245-255 (1997).
15. H. Hasimoto, “On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres,” J. Fluid Dynamics 5, 317-328 (1959).
16. M. Zukovski and H. Brenner, “Effective conductivity of composite materials composed of cubic arrangements of spherical particles embedded in an isotropic matrix,” Z. Angew. Math. Phys. 28, 979-992 (1977).
17. J. W. S. Rayleigh, “On the influence of obstacles arranged in rectangular order upon the properties of the medium,” Philos. Mag. 34, 481-502 (1892).
18. G. Tayeb and D. Maystre, “Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities,” J. Opt. Soc. Am. A 14, 3323-3332 (1997).
19. E. Centeno and D. Felbacq, “Characterization of defect modes in finite bidimensional photonic crystals,” J. Opt. Soc. Am. A 16, 2705-2712 (1999).
20. “Photonic Band Structure,” special issue, J. Mod. Opt. 41, 171-404 (1994).
21. “Development and Applications of Materials Exhibiting Photonic Band Gaps,” special issue, J. Opt. Soc. Am. B 10, 279-413 (1993).
22. E. Centeno and D. Felbacq, “Guiding waves with photonic crystals,” Opt. Commun. 160, 57-60 (1999).