Abstract

Ultracompact waveguide bends with simple topology in two-dimensional photonic crystal slabs are proposed by using an annular air groove at the bend corner to improve transmissions of the bends. Analysis indicates that the guided light wave experiences a very slight difference of propagation properties between straight waveguides and bends (with 60° and 120° bending angles). Transmissions of more than 90% can be achieved in the 60° and 120° bends for light waves at 1.55μm with bandwidths of 101 and 74nm, respectively.

© 2007 Optical Society of America

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2006 (1)

2005 (1)

N. Malkova and C. Z. Ning, Appl. Phys. Lett. 87, 161113 (2005).
[Crossref]

2004 (3)

2003 (1)

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

2002 (4)

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

A. Chutinan, M. Okano, and S. Noda, Appl. Phys. Lett. 80, 1698 (2002).
[Crossref]

A. Talneau, P. Lalanne, M. Agio, and C. M. Soukoulis, Opt. Lett. 27, 1522 (2002).
[Crossref]

M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
[Crossref]

2001 (1)

2000 (2)

A. Chutinan and S. Noda, Phys. Rev. B 62, 4488 (2000).
[Crossref]

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
[Crossref] [PubMed]

1998 (1)

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

1996 (1)

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Agio, M.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

A. Talneau, P. Lalanne, M. Agio, and C. M. Soukoulis, Opt. Lett. 27, 1522 (2002).
[Crossref]

Baets, R.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Beckx, S.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Bogaerts, W.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Borel, P. I.

Bouadma, N.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

Chen, J. C.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Chow, E.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Chutinan, A.

A. Chutinan, M. Okano, and S. Noda, Appl. Phys. Lett. 80, 1698 (2002).
[Crossref]

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
[Crossref] [PubMed]

A. Chutinan and S. Noda, Phys. Rev. B 62, 4488 (2000).
[Crossref]

Dumon, P.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Fan, S.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Frandsen, L. H.

Gouezigou, L. L.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

Harpøth, A.

Hase, M.

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

Hietala, V.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Jensen, J. S.

Joannopoulos, J. D.

S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
[Crossref] [PubMed]

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Johnson, S. G.

Kafesaki, M.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

Kristensen, M.

Kurland, I.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Kurokawa, Y.

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

Lalanne, P.

Leon, J. B.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Li, B.

Lin, S. Y.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Liu, H.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Malkova, N.

N. Malkova and C. Z. Ning, Appl. Phys. Lett. 87, 161113 (2005).
[Crossref]

Mekis, A.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Miyazaki, H.

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

Miyazaki, H. T.

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

Ning, C. Z.

N. Malkova and C. Z. Ning, Appl. Phys. Lett. 87, 161113 (2005).
[Crossref]

Noda, S.

A. Chutinan, M. Okano, and S. Noda, Appl. Phys. Lett. 80, 1698 (2002).
[Crossref]

A. Chutinan and S. Noda, Phys. Rev. B 62, 4488 (2000).
[Crossref]

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
[Crossref] [PubMed]

Okano, M.

A. Chutinan, M. Okano, and S. Noda, Appl. Phys. Lett. 80, 1698 (2002).
[Crossref]

Qiu, M.

M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
[Crossref]

Shi, P.

Shinya, N.

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

Sigmund, O.

Soukoulis, C. M.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

A. Talneau, P. Lalanne, M. Agio, and C. M. Soukoulis, Opt. Lett. 27, 1522 (2002).
[Crossref]

Talneau, A.

A. Talneau, P. Lalanne, M. Agio, and C. M. Soukoulis, Opt. Lett. 27, 1522 (2002).
[Crossref]

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

Tomoda, K.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
[Crossref] [PubMed]

Villeneuve, P. R.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Wiaux, V.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Wouters, J.

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Yamamoto, N.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
[Crossref] [PubMed]

Zhang, Y.

Appl. Phys. Lett. (4)

N. Malkova and C. Z. Ning, Appl. Phys. Lett. 87, 161113 (2005).
[Crossref]

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, Appl. Phys. Lett. 80, 547 (2002).
[Crossref]

A. Chutinan, M. Okano, and S. Noda, Appl. Phys. Lett. 80, 1698 (2002).
[Crossref]

M. Qiu, Appl. Phys. Lett. 81, 1163 (2002).
[Crossref]

Electron. Lett. (1)

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, and S. Beckx, Electron. Lett. 40, 1263 (2004).
[Crossref]

Opt. Express (4)

Opt. Lett. (1)

Phys. Rev. B (2)

A. Chutinan and S. Noda, Phys. Rev. B 62, 4488 (2000).
[Crossref]

H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, and N. Shinya, Phys. Rev. B 62, 235109 (2003).
[Crossref]

Phys. Rev. Lett. (1)

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Science (2)

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
[Crossref] [PubMed]

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Schematic of PCWs with proposed bends of (a) 60 ° and (b) 120 ° , with planforms of the zoomed-in bend parts.

Fig. 2
Fig. 2

(a) Scheme of the curved dielectric waveguide bordered by the air hole O and the inner edge of annular air groove, and (b) dispersion curves of k s and k b for the guided mode in the straight PCW and the bend. The inset shows the change of the wave vector through the bend with a length of L.

Fig. 3
Fig. 3

Distributions of steady-state electric fields at 1.55 μ m for the bends of (a) 60 ° and (b) 120 ° , and the normalized intensity spectra from 1.42 to 1.64 μ m for the bends of (c) 60 ° and (d) 120 ° .

Equations (1)

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R = [ 1 + ( 2 k s k b [ k s 2 k b 2 ] sin ( k b L ) ) 2 ] 1 .

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