Abstract

The photonic bandgap of three-dimensional photonic crystals, formed by arranging circular spirals in face-centre-cubic lattice, was theoretically investigated. The structure was found to have a relative photonic bandgap of up to 25% in both direct and inversed configurations. The conditions under which the structure has a bandgap larger than 10% are described. Some considerations for optimizing such photonic crystal fabrication by two-photon polymerization are given. The theoretical results are implemented to fabricate polymeric structures that can be used as templates for photonic crystals with full photonic bandgap larger than 10% centered in the near-infrared region.

© 2007 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059 (1987).
    [CrossRef]
  2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486 (1987).
    [CrossRef]
  3. B. Kurt, L. Stefan, W. Ralf, and B. Föll Helmut, Photonic Crystals (Wiley-VCH, Berlin, 2004).
  4. J.-M. Lourtioz, H.i Benisty, V. Berger, J.-M. Gerard, D. Maystre, A. Tchelnokov, Photonic Crystals: Towards Nanoscale Photonic Devices (Springer-Verlag Berlin and Heidelberg 2005).
  5. C. T. Chan, K. M. Ho and C. M. Soukoulis, "Photonic bandgaps in experimentally realizable periodic dielectric structures," Europhys. Lett. 16, 563 (1991).
    [CrossRef]
  6. C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
    [CrossRef]
  7. K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
    [CrossRef]
  8. S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
    [CrossRef]
  9. K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
    [CrossRef]
  10. A. Chutinan, and S. Noda, "Spiral three-dimensional photonic-band-gap structure," Phys. Rev B 57, R2006 (1998).
    [CrossRef]
  11. K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
    [CrossRef]
  12. K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
    [CrossRef]
  13. S. G. Johnson "MIT Photonic-Bands," (Massachusetts Institute of Technology 2002), http://ab-initio.mit.edu/wiki/index.php/MIT_Photonic_Bands>
  14. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001).
  15. H. B.  Sun, S.  Matsuo, and H.  Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett.  74, 786 (1999).
    [CrossRef]
  16. J. Serbin, A. Ovsianikov, and B. Chichkov, "Fabrication of woodpile structures by two-photon polymerization and investigation of their optical properties," Opt. Express 12, 5221 (2004).
    [CrossRef]
  17. H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
    [CrossRef]
  18. M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
    [CrossRef]
  19. N. Tétreault,  et al., "New Route to Three-Dimensional Photonic Bandgap Materials: Silicon Double Inversion of Polymer Templates," Adv. Mater. 18, 457-460 (2006).
    [CrossRef]
  20. S. Juodkazis1, V. Mizeikis1, K. Seet1, M. Miwa, and H. Misawa, "Two-photon lithography of nanorods in SU-8 photoresist," Nanotechnology 16, 846-849 (2005).
    [CrossRef]
  21. D. Tan,  et al., "Reduction in feature size of two-photon polymerization using SCR500," Appl Phys Lett 90, 071106 (2007).
    [CrossRef]

2007

D. Tan,  et al., "Reduction in feature size of two-photon polymerization using SCR500," Appl Phys Lett 90, 071106 (2007).
[CrossRef]

2006

K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
[CrossRef]

N. Tétreault,  et al., "New Route to Three-Dimensional Photonic Bandgap Materials: Silicon Double Inversion of Polymer Templates," Adv. Mater. 18, 457-460 (2006).
[CrossRef]

2005

S. Juodkazis1, V. Mizeikis1, K. Seet1, M. Miwa, and H. Misawa, "Two-photon lithography of nanorods in SU-8 photoresist," Nanotechnology 16, 846-849 (2005).
[CrossRef]

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

2004

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

J. Serbin, A. Ovsianikov, and B. Chichkov, "Fabrication of woodpile structures by two-photon polymerization and investigation of their optical properties," Opt. Express 12, 5221 (2004).
[CrossRef]

2003

K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
[CrossRef]

2001

2000

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
[CrossRef]

1999

H. B.  Sun, S.  Matsuo, and H.  Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett.  74, 786 (1999).
[CrossRef]

1998

A. Chutinan, and S. Noda, "Spiral three-dimensional photonic-band-gap structure," Phys. Rev B 57, R2006 (1998).
[CrossRef]

1994

C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
[CrossRef]

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

1991

C. T. Chan, K. M. Ho and C. M. Soukoulis, "Photonic bandgaps in experimentally realizable periodic dielectric structures," Europhys. Lett. 16, 563 (1991).
[CrossRef]

1987

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef]

Biswas, R.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

Busch, K.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

Chan, C. T.

C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
[CrossRef]

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

C. T. Chan, K. M. Ho and C. M. Soukoulis, "Photonic bandgaps in experimentally realizable periodic dielectric structures," Europhys. Lett. 16, 563 (1991).
[CrossRef]

Chichkov, B.

Chutinan, A.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
[CrossRef]

A. Chutinan, and S. Noda, "Spiral three-dimensional photonic-band-gap structure," Phys. Rev B 57, R2006 (1998).
[CrossRef]

Datta, S.

C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
[CrossRef]

Deubel, M.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

Duan, X. M.

K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
[CrossRef]

Freymann, G. V.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

Ho, K. M.

C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
[CrossRef]

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

C. T. Chan, K. M. Ho and C. M. Soukoulis, "Photonic bandgaps in experimentally realizable periodic dielectric structures," Europhys. Lett. 16, 563 (1991).
[CrossRef]

Joannopoulos, J. D.

John, S.

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef]

Johnson, S. G.

Juodkazis, S.

K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
[CrossRef]

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

S. Juodkazis1, V. Mizeikis1, K. Seet1, M. Miwa, and H. Misawa, "Two-photon lithography of nanorods in SU-8 photoresist," Nanotechnology 16, 846-849 (2005).
[CrossRef]

Kaneko, K.

K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
[CrossRef]

Kawata, S.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
[CrossRef]

Kim, M. S.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

Lee, K. S.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

Matsuo, S.

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

H. B.  Sun, S.  Matsuo, and H.  Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett.  74, 786 (1999).
[CrossRef]

Misawa, H.

K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
[CrossRef]

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

H. B.  Sun, S.  Matsuo, and H.  Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett.  74, 786 (1999).
[CrossRef]

Mizeikis, V.

K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
[CrossRef]

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

Noda, S.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
[CrossRef]

A. Chutinan, and S. Noda, "Spiral three-dimensional photonic-band-gap structure," Phys. Rev B 57, R2006 (1998).
[CrossRef]

Ovsianikov, A.

Pereira, S.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

Seet, K. K.

K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
[CrossRef]

Seet, K. K.

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

Serbin, J.

Sigalas, M.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

Soukoulis, C. M.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
[CrossRef]

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

C. T. Chan, K. M. Ho and C. M. Soukoulis, "Photonic bandgaps in experimentally realizable periodic dielectric structures," Europhys. Lett. 16, 563 (1991).
[CrossRef]

Sun, H. B.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
[CrossRef]

H. B.  Sun, S.  Matsuo, and H.  Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett.  74, 786 (1999).
[CrossRef]

Suwa, T.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

Takada, K.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

Tan, D.

D. Tan,  et al., "Reduction in feature size of two-photon polymerization using SCR500," Appl Phys Lett 90, 071106 (2007).
[CrossRef]

Tétreault, N.

N. Tétreault,  et al., "New Route to Three-Dimensional Photonic Bandgap Materials: Silicon Double Inversion of Polymer Templates," Adv. Mater. 18, 457-460 (2006).
[CrossRef]

Tomoda, K.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
[CrossRef]

Wegener, M.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef]

Yamamoto, N.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
[CrossRef]

Zaccaria, R. P.

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

Adv. Mater.

K. K. Seet, V. Mizeikis, S. Matsuo, S. Juodkazis, and H. Misawa, "Three-Dimensional Spiral-Architecture Photonic Crystals Obtained By Direct Laser Writing," Adv. Mater. 17, 541 (2005).
[CrossRef]

N. Tétreault,  et al., "New Route to Three-Dimensional Photonic Bandgap Materials: Silicon Double Inversion of Polymer Templates," Adv. Mater. 18, 457-460 (2006).
[CrossRef]

Appl Phys Lett

D. Tan,  et al., "Reduction in feature size of two-photon polymerization using SCR500," Appl Phys Lett 90, 071106 (2007).
[CrossRef]

Appl Phys. Lett

H. B. Sun, T. Suwa, K. Takada, R. P. Zaccaria, M. S. Kim, K. S. Lee, S. Kawata, "Shape precompensation in two-photon nanowriting of photonic lattices," Appl. Phys. Lett. 85, 3708 (2004).
[CrossRef]

Appl. Phys. Lett.

K. K. Seet, V. Mizeikis, S. Juodkazis, and H. Misawa, "Three-dimensional horizontal circular spiral photonic crystals with stop gaps below 1 µm," Appl. Phys. Lett. 88, 221101 (2006).
[CrossRef]

H. B.  Sun, S.  Matsuo, and H.  Misawa, "Three-dimensional photonic crystal structures achieved with two-photon-absorption photopolymerization of resin," Appl. Phys. Lett.  74, 786 (1999).
[CrossRef]

K. Kaneko, H. B. Sun, X. M. Duan, and S. Kawata," Submicron diamond-lattice photonic crystals produced by two-photon laser nanofabrication," Appl. Phys. Lett. 83, 2091 (2003).
[CrossRef]

Europhys. Lett.

C. T. Chan, K. M. Ho and C. M. Soukoulis, "Photonic bandgaps in experimentally realizable periodic dielectric structures," Europhys. Lett. 16, 563 (1991).
[CrossRef]

Nanotechnology

S. Juodkazis1, V. Mizeikis1, K. Seet1, M. Miwa, and H. Misawa, "Two-photon lithography of nanorods in SU-8 photoresist," Nanotechnology 16, 846-849 (2005).
[CrossRef]

Nat. Mater.

M. Deubel, G. V. Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, "Direct laser writing of three-dimensional photonic-crystal templates for telecommunications," Nat. Mater. 3, 444 (2004).
[CrossRef]

Opt. Express

Phys. Rev B

A. Chutinan, and S. Noda, "Spiral three-dimensional photonic-band-gap structure," Phys. Rev B 57, R2006 (1998).
[CrossRef]

Phys. Rev. B

C. T. Chan, S. Datta, K. M. Ho, and C. M. Soukoulis, "A-7 structure: A family of photonic crystals," Phys. Rev. B 50, 1988 (1994).
[CrossRef]

Phys. Rev. Lett.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef]

Science

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic bandgap crystals at near-infrared wavelengths," Science 289, 604 (2000).
[CrossRef]

Solid State Commun.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic bandgaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413 (1994).
[CrossRef]

Other

B. Kurt, L. Stefan, W. Ralf, and B. Föll Helmut, Photonic Crystals (Wiley-VCH, Berlin, 2004).

J.-M. Lourtioz, H.i Benisty, V. Berger, J.-M. Gerard, D. Maystre, A. Tchelnokov, Photonic Crystals: Towards Nanoscale Photonic Devices (Springer-Verlag Berlin and Heidelberg 2005).

S. G. Johnson "MIT Photonic-Bands," (Massachusetts Institute of Technology 2002), http://ab-initio.mit.edu/wiki/index.php/MIT_Photonic_Bands>

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics