Statistical theory of multiple scattering of waves applied to three-dimensional layered photonic crystals

Journal of the Optical Society of America B: Optical Physics

Volumn 21, Issue 10, 2004, Pages 1866-1875

  Ponyavina, Alina ^a   Kachan, Svetlana ^a   Sil'vanovich, Nikolaj ^a  

^a B I STEPANOV INSTITUTE OF PHYSICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; CRYSTALS; DIELECTRIC MATERIALS; ELECTRODYNAMICS; LIGHT REFLECTION; LIGHT SCATTERING; LIGHT TRANSMISSION; MATRIX ALGEBRA; PARTICLE SIZE ANALYSIS; PHOTONS; STATISTICAL OPTICS;

DISORDERED DIELECTRIC SPHERES; LAYERED PHOTONIC CRYSTALS; MULTIPLE SCATTERING; QUASICRYSTALLINE APPROXIMATION; STATISTICAL THEORY; TRANSFER MATRIX METHOD;

OPTICAL MATERIALS;

EID: 10044220958     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.21.001866     Document Type: Article

References (29)

1. C. M. Soukoulis, ed., Photonic Crystals and Light Localization in the 21st Century (Kluwer, Dordrecht, The Netherlands, 2001).
2. T. Krauss and T. Baba, eds, "Feature section on photonic crystal structures and applications," IEEE J. Quantum Electron. 38, 724-963 (2002).
3. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
4. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
5. K. Ohtaka, "Energy-band of photons and low-energy photon diffraction," Phys. Rev. B 19, 5057-5067 (1979).
6. V. G. Vereshchagin and V. V. Morozov, "New type of cutting filters for the long-wave infrared spectrum region," Zh. Prikl. Spektrosk. 49 317-320 (1988) (in Russian).
7. J. Martorell and N. M. Lawandy, "Observation of inhibited spontaneous emission in a periodic dielectric structure," Phys. Rev. Lett. 65 1877-1880 (1990).
8. J. Martorell and N. M. Lawandy, "Distributed feedback oscillation in ordered colloidal suspensions of polystyrene microspheres," Opt. Commun. 78, 169-173 (1990).
9. H. S. Sozuer, J. W. Haus, and R. Inguva, "Photonic bands: convergence problems with the plane-wave method," Phys. Rev. B 45, 13962-13972 (1992).
10. A. Taflove, "Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of electromagnetic-wave interactions with arbitrary structures," Wave Motion 10, 547-582 (1988).
11. P. M. Bell, J. B. Pendry, L. M. Moreno, and A. J. Ward, "A program for calculating photonic band structures and transmission coefficients of complex structures," Comput. Phys. Commun. 85, 306-322 (1995 ).
12. L.-M. Li and Z.-Q. Zhang, "Multiple-scattering approach to finite-sized photonic band-gap materials," Phys. Rev. B 58, 9587-9590 (1998).
13. G. Tayeb and D. Mayste, "Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities," J. Opt. Soc. Am. A 14, 3323-3332 (1997).
14. X. D. Wang, X. G. Zhang, Q. L. Yu, and B. N. Harmon, "Multiple-scattering theory for electromagnetic-waves," Phys. Rev. B 47, 4161-4167 (1993).
15. N. Stefanou, V. Yannopapas, and A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998).
16. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
17. V. N. Bogomolov, S. V. Gaponenko, I. N. Germanenko, A. M. Kapitonov, E. P. Petrov, N. V. Gaponenko, A. V. Prokofiev, A. N. Panyavina, N. I. Silvanovich, and S. M. Samoilovich, "Photonic band gap phenomenon and optical properties of artificial opals," Phys. Rev. E 55, 7619-7625 (1997).
18. A. N. Ponyavina and N. I. Sil'vanovich, "Interference effects and spectral characteristics of multilayer scattering systems," Opt. Spectrosc. 76, 581-589 (1994).
19. M. Lax, "Multiple scattering of waves. 2. The effective field in dense systems," Phys. Rev. 85, 621-629 (1952).
20. K. M. Hong, "Multiple scattering of electromagnetic waves by a crowded monolayer of spheres: application to migration imaging films," J. Opt. Soc. Am. 70, 821-826 (1980).
21. J. Ziman, Models of Disorder (Cambridge U. Press, Cambridge, UK, 1979).
22. S. G. Romanov, N. P. Johnson, A. V. Fokin, V. Y. Butko, H. M. Yates, M. E. Pemble, and C. M. S. Torres, "Enhancement of the photonic gap of opal-based three-dimensional gratings," Appl. Phys. Lett. 70, 2091-2093 (1997).
23. 2 spheres," Appl. Phys. Lett. 71, 1148-1150 (1997).
24. J. F. Galisteo-Lopez, E. Palacios-Lidon, E. Castillo-Martinez, and C. Lopez, "Optical study of the pseudogap in thickness and orientation controlled artificial opals," Phys. Rev. B 68, 115109 (2003).
25. S. G. Romanov, A. V. Fokin, and R. M. De La Rue, "Stopband structure in complementary three-dimensional opal-based photonic crystals," J. Phys.: Condens. Matter 11, 3593-3600 (1999).
26. W. L. Vos, M. Megens, C. M. van Kats, and P. Bosecke, "Transmission and diffraction by photonic colloidal crystals," J. Phys.: Condens. Matter 8, 9503-9507 (1996).
27. C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
28. K. Ohtaka and M. Inoue, "Light-scattering from macroscopic spherical bodies. 2. Reflectivity of light and electromagnetic localized state in a periodic monolayer of dielectric spheres," Phys. Rev. B 25, 689-695 (1982).
29. V. P. Dick, V. A. Loiko, and A. P. Ivanov, "Angular structure of radiation scattered by monolayers of particles: experimental study," Appl. Opt. 36, 4235-4240 (1997).