Abstract

Photonic crystal tapers have been designed for coupling of light from ridge waveguides into low group velocity photonic crystal channel guides. The coupling efficiency is increased from 3 % (case of butt-coupling) to 97 % for frequencies in the band-edge region, corresponding to a group index close to 100, as predicted using 2D finite-difference time-domain simulations.

© 2007 Optical Society of America

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References

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  1. R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, "Applications of slow light in telecommunications," Opt. and Photon. News 17, 19-23 (2006).
  2. N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
    [CrossRef]
  3. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
    [CrossRef]
  4. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
    [CrossRef]
  5. R. S. Jacobsen, A. V. Lavrinenko, L. H. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. I. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13, 7861-7871 (2005).
    [CrossRef] [PubMed]
  6. Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
    [CrossRef] [PubMed]
  7. L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, "Photonic crystal waveguides with semi-slow light and tailored dispersion properties," Opt. Express 14, 9444-9450 (2006).
    [CrossRef] [PubMed]
  8. M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, "Slow-light, band-edge waveguides for tunable time delays," Opt. Express 13, 7145-7159 (2005).
    [CrossRef] [PubMed]
  9. Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
    [CrossRef] [PubMed]
  10. D. Mori and T. Baba, "Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide," Opt. Express 13, 9398-9408 (2005).
    [CrossRef] [PubMed]
  11. S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
    [CrossRef]
  12. P. Pottier, I. Ntakis, and R. M. De La Rue, "Photonic crystal continuous taper for low-loss direct coupling into 2D photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
    [CrossRef]
  13. A. R. Weily, K. P. Esselle, and B. C. Sanders, "Photonic crystal horn and array antennas," Phys. Rev. E 68, 016609/1-016609/6 (2003).
    [CrossRef]
  14. C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
    [CrossRef]
  15. M. Lon?ar, J. Vu?kovi?, and A. Scherer, "Methods for controlling positions of guided modes of photonic-crystal waveguides," J. Opt. Soc. Am. B 18, 1362-1368 (2001).
    [CrossRef]
  16. M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
    [CrossRef]
  17. N. Moll and G. L. Bona, "Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: Efficient butt coupling into these photonic crystal waveguides," J. Appl. Phys. 93, 4986-4991 (2003).
    [CrossRef]

2007

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

2006

2005

2004

C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
[CrossRef]

2003

N. Moll and G. L. Bona, "Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: Efficient butt coupling into these photonic crystal waveguides," J. Appl. Phys. 93, 4986-4991 (2003).
[CrossRef]

P. Pottier, I. Ntakis, and R. M. De La Rue, "Photonic crystal continuous taper for low-loss direct coupling into 2D photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
[CrossRef]

2002

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

2001

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

M. Lon?ar, J. Vu?kovi?, and A. Scherer, "Methods for controlling positions of guided modes of photonic-crystal waveguides," J. Opt. Soc. Am. B 18, 1362-1368 (2001).
[CrossRef]

1999

N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
[CrossRef]

Baba, T.

Bassi, P.

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

Bienstman, P.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Bogaerts, W.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Bona, G. L.

N. Moll and G. L. Bona, "Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: Efficient butt coupling into these photonic crystal waveguides," J. Appl. Phys. 93, 4986-4991 (2003).
[CrossRef]

Borel, P. I.

Boyd, R. W.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, "Applications of slow light in telecommunications," Opt. and Photon. News 17, 19-23 (2006).

Chen, C.

C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
[CrossRef]

De La Rue, R. M.

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

P. Pottier, I. Ntakis, and R. M. De La Rue, "Photonic crystal continuous taper for low-loss direct coupling into 2D photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
[CrossRef]

Engelen, R. J. P.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Fage-Pedersen, J.

Frandsen, L. H.

Gaeta, A. L.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, "Applications of slow light in telecommunications," Opt. and Photon. News 17, 19-23 (2006).

Gauthier, D. J.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, "Applications of slow light in telecommunications," Opt. and Photon. News 17, 19-23 (2006).

Gersen, H.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Gnan, M.

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

Hamann, H. F.

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef] [PubMed]

Heaton, J.

N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
[CrossRef]

Ibanescu, M.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Jacobsen, R. S.

Joannopoulos, J. D.

M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, "Slow-light, band-edge waveguides for tunable time delays," Opt. Express 13, 7145-7159 (2005).
[CrossRef] [PubMed]

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Johnson, S. G.

M. L. Povinelli, S. G. Johnson, and J. D. Joannopoulos, "Slow-light, band-edge waveguides for tunable time delays," Opt. Express 13, 7145-7159 (2005).
[CrossRef] [PubMed]

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Karle, T. J.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Korterik, J. P.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Krauss, T. F.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Kuipers, L.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Lavrinenko, A. V.

Lidorikis, E.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Loncar, M.

McNab, S. J.

Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
[CrossRef] [PubMed]

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef] [PubMed]

Moll, N.

N. Moll and G. L. Bona, "Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: Efficient butt coupling into these photonic crystal waveguides," J. Appl. Phys. 93, 4986-4991 (2003).
[CrossRef]

Mori, D.

Moulin, G.

Notomi, M.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

Ntakis, I.

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

P. Pottier, I. Ntakis, and R. M. De La Rue, "Photonic crystal continuous taper for low-loss direct coupling into 2D photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
[CrossRef]

O'Boyle, M.

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef] [PubMed]

Peucheret, C.

Pottier, P.

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

P. Pottier, I. Ntakis, and R. M. De La Rue, "Photonic crystal continuous taper for low-loss direct coupling into 2D photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
[CrossRef]

Povinelli, M. L.

Prather, D. W.

C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
[CrossRef]

Scherer, A.

Sharkawy, A.

C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
[CrossRef]

Shaw, N.

N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
[CrossRef]

Shi, S.

C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
[CrossRef]

Shinya, A.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

Skorobogatiy, M. A.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Stewart, W. J.

N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
[CrossRef]

Takahashi, C.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

Takahashi, J.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

van Hulst, N. F.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Vlasov, Y. A.

Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31, 50-52 (2006).
[CrossRef] [PubMed]

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef] [PubMed]

Vuckovic, J.

Wight, D. R.

N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
[CrossRef]

Yamada, K.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

Yokohama, I.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

Zsigri, B.

Elecron. Lett.

N. Shaw, W. J. Stewart, J. Heaton, and D. R. Wight, "Optical slow-wave resonant modulation in electro-optic GaAs/AlGaAs modulators," Elecron. Lett. 35, 1557-1558 (1999).
[CrossRef]

J. Appl. Phys.

N. Moll and G. L. Bona, "Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: Efficient butt coupling into these photonic crystal waveguides," J. Appl. Phys. 93, 4986-4991 (2003).
[CrossRef]

J. Opt. Net.

M. Gnan, I. Ntakis, P. Pottier, R. M. De La Rue, and P. Bassi, "Systematic investigation of misalignment effects at junctions between feeder waveguide and photonic crystal channel waveguide," J. Opt. Net. 6, 90-101 (2007).
[CrossRef]

J. Opt. Soc. Am. B

Nature

Y. A. Vlasov, M. O'Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
[CrossRef] [PubMed]

Opt. and Photon. News

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, "Applications of slow light in telecommunications," Opt. and Photon. News 17, 19-23 (2006).

Opt. Commun.

P. Pottier, I. Ntakis, and R. M. De La Rue, "Photonic crystal continuous taper for low-loss direct coupling into 2D photonic crystal channel waveguides and further device functionality," Opt. Commun. 223, 339-347 (2003).
[CrossRef]

Opt. Engineer.

C. Chen, S. Shi, D. W. Prather, and A. Sharkawy, "Beam steering with photonic crystal horn radiators," Opt. Engineer. 43, 174-180 (2004).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. E

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, "Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals," Phys. Rev. E 66, 066608/1-066608/15 (2002).
[CrossRef]

Phys. Rev. Lett.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253902/1-253902/4 (2001).
[CrossRef]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Real-space observation of ultraslow light in photonic crystal waveguides," Phys. Rev. Lett. 94, 073903/1-073903/4 (2005).
[CrossRef]

Other

A. R. Weily, K. P. Esselle, and B. C. Sanders, "Photonic crystal horn and array antennas," Phys. Rev. E 68, 016609/1-016609/6 (2003).
[CrossRef]

Supplementary Material (1)

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Figures (7)

Fig. 1.
Fig. 1.

Schematic of the PhC channel guide of reduced width W0.8 accessed by ridge waveguides (width d). (a): reference ridge waveguide, (b): butt-coupling, (c): smooth transition with added linear PhC tapers, (d): smooth transition with added exponential PhC tapers. (e): example of fabrication of linear tapers in silicon on insulator.

Fig. 2.
Fig. 2.

Transmission through a PhC W0.8 channel guide accessed by a 425 nm (0.577a√3) wide ridge waveguide, and group index of ridge waveguide and PhC channel guide obtained from two pulse durations (power FWHM): 1.49 ps and 187 fs (2D FDTD).

Fig. 3.
Fig. 3.

Transmission through a PhC W0.8 channel guide for different widths of ridge access waveguide (2D FDTD) – case of butt-coupling.

Fig. 4.
Fig. 4.

Transmission through a PhC W0.8 channel guide for different types (linear, exponential) and lengths (8a, 16a, 32a) of input and output PhC tapers (from W1 to W0.8), themselves accessed by a 472 nm (0.641a√3) wide ridge waveguide (2D FDTD).

Fig. 5.
Fig. 5.

Transmission through a PhC W0.8 channel guide with input and output PhC tapers (linear type, from W1 to W0.8, length: 8a) for different widths of ridge access waveguide (2D FDTD).

Fig. 6.
Fig. 6.

Transmission through a PhC W0.8 channel guide with butt-coupling from ridge access waveguide (green curve) and through additional input and output PhC tapers (linear type, from W1 to W0.8, length: 8a – red curve). The width of ridge access waveguides has been optimized in both cases (2D FDTD).

Fig. 7.
Fig. 7.

Animation of a 291 fs (power FWHM) pulse (at λ = 1.48 μm) entering and leaving a W0.8 PhC channel guide with input and output PhC tapers (linear type, from W1 to W0.8, length: 8a) and accessed by ridge waveguides of width a√3 (= 736 nm). In the W0.8 section, the group index is 8.4. [Media 1]

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f ( x ) = e k ( x 1 ) e k 1 e k ,

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