Multiple scattering theory and its application to photonic band gap systems consisting of coated spheres

doi:10.1364/OE.8.000203

Optics Express

Editor: J. H. Eberly
Vol. 8, Iss. 3 — Jan. 29, 2001
pp: 203–208

Multiple scattering theory and its application to photonic band gap systems consisting of coated spheres

Weiyi Zhang, Che Ting Chan, and Ping Sheng »View Author Affiliations

Optics Express, Vol. 8, Issue 3, pp. 203-208 (2001)
http://dx.doi.org/10.1364/OE.8.000203

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Abstract
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References (10)
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Abstract

The vector wave multiple scattering method is a reliable and efficient technique in treating the photonic band gap problem for photonic crystals composed of spherically scattering objects with metallic components. In this paper, we describe the formalism and its application to the photonic band structures of systems comprising of metallo-dielectric spheres. We show that the photonic band gaps are essentially determined by local short-range order rather than by the translational symmetry if the volume fraction of the metallic core is high.

[Optical Society of America ]

OCIS Codes
(160.4670) Materials : Optical materials
(260.2110) Physical optics : Electromagnetic optics
(260.3910) Physical optics : Metal optics

ToC Category:
Focus Issue: Photonic bandgap calculations

History
Original Manuscript: November 13, 2000
Published: January 29, 2001

Citation
Weiyi Zhang, Che Ting Chan, and Ping Sheng, "Multiple scattering theory and its application to photonic band gap systems consisting of coated spheres," Opt. Express 8, 203-208 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-3-203

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References

See, e.g., K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152 (1990). [CrossRef] [PubMed]
See, e.g., A. J. Ward and J. B. Pendry, "Calculating photonic Green's function using a nonorthogonal finite-difference time-domain method," Phys. Rev. B58, 7252 (1998).
S. Fan, P. R. Villeneuve, and Joannopoulos, "Large omnidirectional band gaps in metallodielectric photonic crystals," Phys. Rev. B54, 11245 (1996).
J. Korringa, Physica 13, 392 (1947). [CrossRef]
W. Kohn and N. Rostoker, "Solution of Schrodinger equation in periodic lattice with an application to metallic lithium," Phys. Rev. 94, 1111 (1954). [CrossRef]
J. L. Beeby, "The electronic structures of disordered systems," Proc. R. Soc. A279, 82 (1964).
See, e.g., K. Ohtaka, "Energy band of photons and low-energy photon diffraction," Phys. Rev. B19, 5057 (1979).
X. D. Wang, X.-G. Zhang, Q. L. Yu, and B. N. Harmon, "Multiple scattering theory for electro-magnetic waves," Phys. Rev. B47, 4161 (1993).
N. Stefanou, V. Yannopapas, and A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Computer Phys. Commun. 113, 49 (1998). [CrossRef]
W.Y. Zhang, X.Y. Lei, Z.L. Wang, D.G. Zheng, W.Y. Tam, C.T. Chan, and P. Sheng, "Robust photonic band gap from tunable scatterers," Phys. Rev. Lett. 84, 2853 (2000). [CrossRef] [PubMed]

Other

See, e.g., K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152 (1990). [CrossRef] [PubMed]
See, e.g., A. J. Ward and J. B. Pendry, "Calculating photonic Green's function using a nonorthogonal finite-difference time-domain method," Phys. Rev. B58, 7252 (1998).
S. Fan, P. R. Villeneuve, and Joannopoulos, "Large omnidirectional band gaps in metallodielectric photonic crystals," Phys. Rev. B54, 11245 (1996).
J. Korringa, Physica 13, 392 (1947). [CrossRef]
W. Kohn and N. Rostoker, "Solution of Schrodinger equation in periodic lattice with an application to metallic lithium," Phys. Rev. 94, 1111 (1954). [CrossRef]
J. L. Beeby, "The electronic structures of disordered systems," Proc. R. Soc. A279, 82 (1964).
See, e.g., K. Ohtaka, "Energy band of photons and low-energy photon diffraction," Phys. Rev. B19, 5057 (1979).
X. D. Wang, X.-G. Zhang, Q. L. Yu, and B. N. Harmon, "Multiple scattering theory for electro-magnetic waves," Phys. Rev. B47, 4161 (1993).
N. Stefanou, V. Yannopapas, and A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Computer Phys. Commun. 113, 49 (1998). [CrossRef]
W.Y. Zhang, X.Y. Lei, Z.L. Wang, D.G. Zheng, W.Y. Tam, C.T. Chan, and P. Sheng, "Robust photonic band gap from tunable scatterers," Phys. Rev. Lett. 84, 2853 (2000). [CrossRef] [PubMed]

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