Abstract

Transmission properties of the periodic dielectric waveguide (PDWG) formed by aligning a sequence of dielectric cylinders in air are investigated theoretically. Unlike photonic crystal waveguides (PCWs), light confinement in a PDWG is due to total internal reflection. Besides, the dispersion relation of the guided modes is strongly influenced by the dielectric periodicity along the waveguide. The band structure for the guided modes is calculated using a finite-difference time-domain (FDTD) method. The first band is used for guiding light, which makes PDWG single mode. Transmission is calculated using the multiple scattering method for various S shaped PDWGs, each containing two opposite bends. When PDWG operates in appropriate frequency ranges, high transmission (above 90%) is observed, even if the radius of curvature of the bends is reduced to three wavelengths. This feature indicates that the guiding ability of PDWG can be made better than the conventional waveguide when used in an optical circuit. In addition, PDWG has the advantage that it can be bent to any arbitrary shape while still preserves the high transmission, avoiding the geometric restriction that PCWs are subject to.

© 2006 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J.D. Joannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals-Molding the Flow of Light (Princeton University Press, 1995).
  2. Kazuaki Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, 2001).
  3. C. Kittel, Introduction to Solid State Physics, 7th ed., (John Wiley & Sons, Inc., 1996).
  4. Attila Mekis, J. C. Chen, I. Kurland, Shanhui Fan, Pierre R. Villeneuve, and J.D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
    [CrossRef]
  5. A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
    [CrossRef]
  6. A. Chutinan, M. Okano, and S. Noda, "Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 80, 1698-1700 (2002).
    [CrossRef]
  7. Amnon Yariv, Yong Xu, Reginald K. Lee, and Axel Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
  8. Shayan Mookherjea, "Dispersion characteristics of coupled-resonator optical waveguides," Opt. Lett. 30, 2406-2408 (2005).
    [CrossRef]
  9. S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
    [CrossRef]
  10. Shanhui Fan, N. Winn, Adrian Devenyi, J. C. Chen, Robert D. Meade, and J.D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12, 1267-1272 (1995).
  11. DmitryN. Chigrin, Andrei V. Lavrinenko, Clivia M. Sotomayer Torres, "Nanopillars photonic crystal waveguides," Opt. Express 12, 617-622 (2004).
  12. M. Qiu and S. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. Appl. Phys. 87, 8268-8275 (2000).
    [CrossRef]
  13. M. Bayindir, B. Temelkuran, and E. Ozbay, "Propagation of photons by hopping: A waveguiding mechanism through localized coupled cavities in three-dimensional photonic crystals," Phys. Rev. B 61, 855-858 (2000).
  14. BikashC. Gupta, Chao Hsien Kuo, and Zhen Ye, "Propagation inhibition and localization of electromagnetic waves in two-dimensional random dielectric systems," Phys. Rev. E 69, 066615 (2004).
  15. Katsunari Okamoto, Fundamentals of Optical Waveguides (Academic Press, first Edition, 2000).

2005 (1)

2004 (2)

DmitryN. Chigrin, Andrei V. Lavrinenko, Clivia M. Sotomayer Torres, "Nanopillars photonic crystal waveguides," Opt. Express 12, 617-622 (2004).

BikashC. Gupta, Chao Hsien Kuo, and Zhen Ye, "Propagation inhibition and localization of electromagnetic waves in two-dimensional random dielectric systems," Phys. Rev. E 69, 066615 (2004).

2002 (3)

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

A. Chutinan, M. Okano, and S. Noda, "Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 80, 1698-1700 (2002).
[CrossRef]

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

2000 (2)

M. Qiu and S. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. Appl. Phys. 87, 8268-8275 (2000).
[CrossRef]

M. Bayindir, B. Temelkuran, and E. Ozbay, "Propagation of photons by hopping: A waveguiding mechanism through localized coupled cavities in three-dimensional photonic crystals," Phys. Rev. B 61, 855-858 (2000).

1999 (1)

1996 (1)

Attila Mekis, J. C. Chen, I. Kurland, Shanhui Fan, Pierre R. Villeneuve, and J.D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
[CrossRef]

1995 (1)

Asakawa, K.

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Attila Mekis,

Attila Mekis, J. C. Chen, I. Kurland, Shanhui Fan, Pierre R. Villeneuve, and J.D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
[CrossRef]

Bayindir, M.

M. Bayindir, B. Temelkuran, and E. Ozbay, "Propagation of photons by hopping: A waveguiding mechanism through localized coupled cavities in three-dimensional photonic crystals," Phys. Rev. B 61, 855-858 (2000).

Bikash,

BikashC. Gupta, Chao Hsien Kuo, and Zhen Ye, "Propagation inhibition and localization of electromagnetic waves in two-dimensional random dielectric systems," Phys. Rev. E 69, 066615 (2004).

Bouadma, N.

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

Chutinan, A.

A. Chutinan, M. Okano, and S. Noda, "Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 80, 1698-1700 (2002).
[CrossRef]

Dmitry,

He, S.

M. Qiu and S. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. Appl. Phys. 87, 8268-8275 (2000).
[CrossRef]

Ikeda, N.

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Ishikawa, H.

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Kafesaki, M.

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

Lan, S.

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Le Gouezigou, L.

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

Nishikawa, S.

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Noda, S.

A. Chutinan, M. Okano, and S. Noda, "Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 80, 1698-1700 (2002).
[CrossRef]

Okano, M.

A. Chutinan, M. Okano, and S. Noda, "Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 80, 1698-1700 (2002).
[CrossRef]

Ozbay, E.

M. Bayindir, B. Temelkuran, and E. Ozbay, "Propagation of photons by hopping: A waveguiding mechanism through localized coupled cavities in three-dimensional photonic crystals," Phys. Rev. B 61, 855-858 (2000).

Qiu, M.

M. Qiu and S. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. Appl. Phys. 87, 8268-8275 (2000).
[CrossRef]

Shanhui Fan,

Soukoulis, C.M.

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

Sugimoto, Y.

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Talneau, A.

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

Temelkuran, B.

M. Bayindir, B. Temelkuran, and E. Ozbay, "Propagation of photons by hopping: A waveguiding mechanism through localized coupled cavities in three-dimensional photonic crystals," Phys. Rev. B 61, 855-858 (2000).

Appl. Phys. Lett. (2)

A. Talneau, L. Le Gouezigou, N. Bouadma,M. Kafesaki, and C.M. Soukoulis, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm," Appl. Phys. Lett. 80, 547-549 (2002).
[CrossRef]

A. Chutinan, M. Okano, and S. Noda, "Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs," Appl. Phys. Lett. 80, 1698-1700 (2002).
[CrossRef]

J. Appl. Phys. (1)

M. Qiu and S. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. Appl. Phys. 87, 8268-8275 (2000).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. B (2)

M. Bayindir, B. Temelkuran, and E. Ozbay, "Propagation of photons by hopping: A waveguiding mechanism through localized coupled cavities in three-dimensional photonic crystals," Phys. Rev. B 61, 855-858 (2000).

S. Lan, S. Nishikawa, Y. Sugimoto, N. Ikeda, K. Asakawa, and H. Ishikawa, "Analysis of defect coupling in oneand two-dimensional photonic crystals," Phys. Rev. B 65, 165208 (2002).
[CrossRef]

Phys. Rev. E (1)

BikashC. Gupta, Chao Hsien Kuo, and Zhen Ye, "Propagation inhibition and localization of electromagnetic waves in two-dimensional random dielectric systems," Phys. Rev. E 69, 066615 (2004).

Phys. Rev. Lett. (1)

Attila Mekis, J. C. Chen, I. Kurland, Shanhui Fan, Pierre R. Villeneuve, and J.D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
[CrossRef]

Other (4)

J.D. Joannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals-Molding the Flow of Light (Princeton University Press, 1995).

Kazuaki Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, 2001).

C. Kittel, Introduction to Solid State Physics, 7th ed., (John Wiley & Sons, Inc., 1996).

Katsunari Okamoto, Fundamentals of Optical Waveguides (Academic Press, first Edition, 2000).

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