Calculation of photonic band structures of periodic multilayer grating systems by use of a curvilinear coordinate transformation

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

Volumn 15, Issue 9, 1998, Pages 2365-2372

  Tan, W C ^a   Preist, T W ^a   Sambles, J R ^a   Sobnack, M B ^a   Wanstall, N P ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4544261669     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.002365     Document Type: Article

References (22)

1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
2. K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).
3. K. M. Leung and Y. F. Liu, “Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media,” Phys. Rev. Lett. 65, 2646–2649 (1990).
4. P. Villeneuve and M. Piche, “Photonic band gaps in two dimensional square and hexagonal lattices,” Phys. Rev. B 46, 4969–4972 (1992).
5. C. M. Anderson and K. P. Giapis, “Larger two-dimensional photonic band gaps,” Phys. Rev. Lett. 77, 2949–2952 (1996).
6. E. Yablonovitch, T. J. Gmitter, and K. M. Leung, “Photonic band structure: the face-centered-cubic case employing nonspherical atoms,” Phys. Rev. Lett. 67, 2295–2298 (1991).
7. F. Gadot, A. Chelnokov, A. DeLustrac, P. Crozat, J. M. Lourtioz, D. Cassagne, and C. Jouanin, “Experimental demonstration of complete photonic band gap in graphite structure,” Appl. Phys. Lett. 71, 1780–1803 (1997).
8. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Measurement of photon dispersion relation in two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
9. J. Chandezon, M. T. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. 72, 839–846 (1982).
10. T. W. Preist, N. P. Cotter, and J. R. Sambles, “Periodic multilayer gratings of arbitrary shape,” J. Opt. Soc. Am. A 12, 1740–1748 (1995).
11. D. Y. K. Ko and J. R. Sambles, “Scattering matrix method for propagation of radiation in stratified media: attenuated total reflection studies of liquid crystals,” J. Opt. Soc. Am. A 5, 1863–1866 (1988).
12. N. P. K. Cotter, T. W. Preist, and J. R. Sambles, “A scattering matrix approach to multilayer diffraction,” J. Opt. Soc. Am. A 12, 1097–1103 (1995).
13. L. Li, “Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited,” J. Opt. Soc. Am. A 11, 2816–2828 (1994).
14. J. P. Plumey, G. Granet, and J. Chandezon, “Differential covariant formalism for solving Maxwell’s equation in curvilinear coordinates: oblique scattering from lossy periodic surfaces,” IEEE Trans. Antennas Propag. 43, 838–842 (1995).
15. P. Lorrain, D. R. Corson, and F. Lorrain, Electromagnetic Fields and Waves (Freeman, New York, 1988).
16. G. Granet, J. P. Plumey, and J. Chandezon, “Scattering by a periodically corrugated layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).
17. L. Li, G. Granet, J. P. Plumey, and J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996).
18. J. B. Pendry, Low Energy Electron Diffraction (Academic, London, 1974).
19. J. B. Pendry and A. MacKinnon, “Calculation of photon dispersion relations,” Phys. Rev. Lett. 69, 2772–2775 (1992).
20. For a review the reader may consult R. Petit, ed., Electro-magnetic Theory of Gratings (Springer-Verlag, Berlin, 1980).
21. G. Granet, “Analysis of diffraction by crossed gratings using a non-orthogonal coordinate system,” Pure Appl. Opt. 4, 777–793 (1995).
22. J. B. Harris, T. W. Preist, J. R. Sambles, R. N. Thorpe, and R. A. Watts, “Optical response of bigratings,” J. Opt. Soc. Am. A 13, 2041–2049 (1996).