Abstract

Periodic waveguides bring a new twist to the typical waveguiding problems of the intermediate case between photonic crystal waveguides and photonic wires or ridge waveguides. We develop an asymptotic theory applicable for a broad class of coupled periodic waveguide structures and use the analytical expressions to identify the generic types of dispersion in the vicinity of a photonic band edge, where the group velocity of light is reduced. We show that the dispersion can be controlled by the longitudinal shift between the waveguides. We also demonstrate through finite-difference time-domain simulations examples of spatial and temporal pulse dynamics in association with different types of slow-light dispersion.

© 2008 Optical Society of America

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  1. X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  4. 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]
  5. J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775-780 (2006).
  6. M. D. Settle, R. J. P. Engelen, M. Salib, A. Michaeli, L. Kuipers, and T. F. Krauss, “Flatband slow light in photonic crystals featuring spatial pulse compression and terahertz bandwidth,” Opt. Express 15, 219-226 (2007).
    [CrossRef]
  7. S. C. Huang, M. Kato, E. Kuramochi, C. P. Lee, and M. Notomi, “Time-domain and spectral-domain investigation of inflection-point slow-light modes in photonic crystal coupled waveguides,” Opt. Express 15, 3543-3549 (2007).
    [CrossRef]
  8. R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, and N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14, 1658-1672 (2006).
    [CrossRef]
  9. A. Figotin and I. Vitebskiy, “Gigantic transmission band-edge resonance in periodic stacks of anisotropic layers,” Phys. Rev. E 72, 036619 (2005).
    [CrossRef]
  10. M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
    [CrossRef]
  11. A. A. Sukhorukov, C. J. Handmer, C. M. de Sterke, and M. J. Steel, “Slow light with flat or offset band edges in few-mode fiber with two gratings,” Opt. Express 15, 17954-17959 (2007).
    [CrossRef]
  12. S. Ha, A. A. Sukhorukov, K. B. Dossou, L. C. Botten, A. V. Lavrinenko, D. N. Chigrin, and Yu. S. Kivshar, “Dispersionless tunneling of slow light in antisymmetric photonic crystal couplers,” Opt. Express 16, 1104-1114 (2008).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  30. S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
    [CrossRef]
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    [CrossRef]
  32. J. She, E. Forsberg, X. Y. Ao, and S. L. He, “High-efficiency polarization beam splitters based on a two-dimensional polymer photonic crystal,” J. Opt. A, Pure Appl. Opt. 8, 345-349 (2006).
    [CrossRef]
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    [CrossRef]
  35. A. A. Maier, “Optical transistors and bistable elements on the basis of non-linear transmission of light by the systems with unidirectional coupled waves,” Kvantovaya Elektron. (Moscow) 9, 2296-2302 (1982) (in Russian) A. A. Maier,[Quantum Electron. 12, 1490-1494 (1982)].
  36. S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
    [CrossRef]
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    [CrossRef]

2008 (2)

2007 (8)

M. D. Settle, R. J. P. Engelen, M. Salib, A. Michaeli, L. Kuipers, and T. F. Krauss, “Flatband slow light in photonic crystals featuring spatial pulse compression and terahertz bandwidth,” Opt. Express 15, 219-226 (2007).
[CrossRef]

D. Goldring, U. Levy, and D. Mendlovic, “Highly dispersive micro-ring resonator based on one dimensional photonic crystal waveguide design and analysis,” Opt. Express 15, 3156-3168 (2007).
[CrossRef]

S. C. Huang, M. Kato, E. Kuramochi, C. P. Lee, and M. Notomi, “Time-domain and spectral-domain investigation of inflection-point slow-light modes in photonic crystal coupled waveguides,” Opt. Express 15, 3543-3549 (2007).
[CrossRef]

S. Ha, A. A. Sukhorukov, and Yu. S. Kivshar, “Slow-light switching in nonlinear Bragg-grating couplers,” Opt. Lett. 32, 1429-1431 (2007).
[CrossRef]

A. A. Sukhorukov, C. J. Handmer, C. M. de Sterke, and M. J. Steel, “Slow light with flat or offset band edges in few-mode fiber with two gratings,” Opt. Express 15, 17954-17959 (2007).
[CrossRef]

D. N. Chigrin, S. V. Zhukovsky, A. V. Lavrinenko, and J. Kroha, “Coupled nanopillar waveguides optical properties and applications,” Phys. Status Solidi A 204, 3647-3661 (2007).
[CrossRef]

Y. G. Boucher, A. V. Lavrinenko, and D. N. Chigrin, “Out-of-phase coupled periodic waveguides: a 'couplonic' approach,” Opt. Quantum Electron. 39, 837-847 (2007).
[CrossRef]

J. T. Mok, M. Ibsen, C. M. de Sterke, and B. J. Eggleton, “Dispersionless slow light with 5-pulse-width delay in fibre Bragg grating,” Electron. Lett. 43, 1418-1419 (2007).
[CrossRef]

2006 (5)

X. Y. Ao, L. Liu, L. Wosinski, and S. L. He, “Polarization beam splitter based on a two-dimensional photonic crystal of pillar type,” Appl. Phys. Lett. 89, 171115 (2006).
[CrossRef]

J. She, E. Forsberg, X. Y. Ao, and S. L. He, “High-efficiency polarization beam splitters based on a two-dimensional polymer photonic crystal,” J. Opt. A, Pure Appl. Opt. 8, 345-349 (2006).
[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775-780 (2006).

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, and N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14, 1658-1672 (2006).
[CrossRef]

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

2005 (6)

J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, and T. W. Mossberg, “Demonstration of mode conversion using anti-symmetric waveguide Bragg gratings,” Opt. Express 13, 4180-4184 (2005).
[CrossRef]

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]

D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Numerical characterization of nanopillar photonic crystal waveguides and directional couplers,” Opt. Quantum Electron. 37, 331-341 (2005).
[CrossRef]

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]

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 (2005).
[CrossRef]

A. Figotin and I. Vitebskiy, “Gigantic transmission band-edge resonance in periodic stacks of anisotropic layers,” Phys. Rev. E 72, 036619 (2005).
[CrossRef]

2004 (5)

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef]

M. Soljacic and J. D. Joannopoulos, “Enhancement of nonlinear effects using photonic crystals,” Nat. Mater. 3, 211-219 (2004).
[CrossRef]

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5-μm-wavelength light guiding in waveguides in square-lattice-of-rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
[CrossRef]

D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Nanopillars photonic crystal waveguides,” Opt. Express 12, 617-622 (2004).
[CrossRef]

2003 (1)

2002 (1)

N. K. Efremidis and D. N. Christodoulides, “Discrete solitons in nonlinear zigzag optical waveguide arrays with tailored diffraction properties,” Phys. Rev. E 65, 056607 (2002).
[CrossRef]

2001 (3)

S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis,” Opt. Express 8, 173-190 (2001).

G. Perrone, M. Laurenzano, and I. Montrosset, “Design and feasibility analysis of an innovative integrated grating-assisted add-drop multiplexer,” J. Lightwave Technol. 19, 1943-1948 (2001).
[CrossRef]

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

1996 (1)

H. Benisty, “Modal analysis of optical guides with two-dimensional photonic band-gap boundaries,” J. Appl. Phys. 79, 7483-7492 (1996).
[CrossRef]

1987 (2)

R. Marz and H. P. Nolting, “Spectral properties of asymmetrical optical directional-couplers with periodic structures,” Opt. Quantum Electron. 19, 273-287 (1987).
[CrossRef]

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

1982 (2)

S. M. Jensen, “The nonlinear coherent coupler,” IEEE Trans. Microwave Theory Tech. MTT-30, 1568-1571 (1982).
[CrossRef]

A. A. Maier, “Optical transistors and bistable elements on the basis of non-linear transmission of light by the systems with unidirectional coupled waves,” Kvantovaya Elektron. (Moscow) 9, 2296-2302 (1982) (in Russian) A. A. Maier,[Quantum Electron. 12, 1490-1494 (1982)].

Andersen, K. N.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

Andrejco, M. J.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

Ao, X. Y.

J. She, E. Forsberg, X. Y. Ao, and S. L. He, “High-efficiency polarization beam splitters based on a two-dimensional polymer photonic crystal,” J. Opt. A, Pure Appl. Opt. 8, 345-349 (2006).
[CrossRef]

X. Y. Ao, L. Liu, L. Wosinski, and S. L. He, “Polarization beam splitter based on a two-dimensional photonic crystal of pillar type,” Appl. Phys. Lett. 89, 171115 (2006).
[CrossRef]

Arakawa, Y.

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5-μm-wavelength light guiding in waveguides in square-lattice-of-rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

Asakawa, K.

Aslund, M.

Assefa, S.

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
[CrossRef]

Benisty, H.

H. Benisty, “Modal analysis of optical guides with two-dimensional photonic band-gap boundaries,” J. Appl. Phys. 79, 7483-7492 (1996).
[CrossRef]

Bienstman, P.

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
[CrossRef]

Birks, T. A.

P. St. J. Russell, T. A. Birks, and F. D. Lloyd Lucas, “Photonic Bloch waves and photonic band gaps,” in Confined Electrons and Photons, E.Burstein and C.Weisbuch, eds. (Plenum, 1995), pp. 585-633.

Bjarklev, A.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[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 (2005).
[CrossRef]

Borel, P. I.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

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]

Botten, L. C.

Boucher, Y. G.

Y. G. Boucher, A. V. Lavrinenko, and D. N. Chigrin, “Out-of-phase coupled periodic waveguides: a 'couplonic' approach,” Opt. Quantum Electron. 39, 837-847 (2007).
[CrossRef]

Canning, J.

Cassagne, D.

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

Castro, J. M.

Chigrin, D. N.

S. Ha, A. A. Sukhorukov, K. B. Dossou, L. C. Botten, A. V. Lavrinenko, D. N. Chigrin, and Yu. S. Kivshar, “Dispersionless tunneling of slow light in antisymmetric photonic crystal couplers,” Opt. Express 16, 1104-1114 (2008).
[CrossRef]

Y. G. Boucher, A. V. Lavrinenko, and D. N. Chigrin, “Out-of-phase coupled periodic waveguides: a 'couplonic' approach,” Opt. Quantum Electron. 39, 837-847 (2007).
[CrossRef]

D. N. Chigrin, S. V. Zhukovsky, A. V. Lavrinenko, and J. Kroha, “Coupled nanopillar waveguides optical properties and applications,” Phys. Status Solidi A 204, 3647-3661 (2007).
[CrossRef]

D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Numerical characterization of nanopillar photonic crystal waveguides and directional couplers,” Opt. Quantum Electron. 37, 331-341 (2005).
[CrossRef]

D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Nanopillars photonic crystal waveguides,” Opt. Express 12, 617-622 (2004).
[CrossRef]

Christodoulides, D. N.

N. K. Efremidis and D. N. Christodoulides, “Discrete solitons in nonlinear zigzag optical waveguide arrays with tailored diffraction properties,” Phys. Rev. E 65, 056607 (2002).
[CrossRef]

David, Y.

de Sterke, C. M.

J. T. Mok, M. Ibsen, C. M. de Sterke, and B. J. Eggleton, “Dispersionless slow light with 5-pulse-width delay in fibre Bragg grating,” Electron. Lett. 43, 1418-1419 (2007).
[CrossRef]

A. A. Sukhorukov, C. J. Handmer, C. M. de Sterke, and M. J. Steel, “Slow light with flat or offset band edges in few-mode fiber with two gratings,” Opt. Express 15, 17954-17959 (2007).
[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775-780 (2006).

M. Aslund, J. Canning, L. Poladian, C. M. de Sterke, and A. Judge, “Antisymmetric grating coupler: experimental results,” Appl. Opt. 42, 6578-6583 (2003).

Dossou, K. B.

Dotan, I. E.

d'Yerville, M. L.

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

Efremidis, N. K.

N. K. Efremidis and D. N. Christodoulides, “Discrete solitons in nonlinear zigzag optical waveguide arrays with tailored diffraction properties,” Phys. Rev. E 65, 056607 (2002).
[CrossRef]

Eggleton, B. J.

J. T. Mok, M. Ibsen, C. M. de Sterke, and B. J. Eggleton, “Dispersionless slow light with 5-pulse-width delay in fibre Bragg grating,” Electron. Lett. 43, 1418-1419 (2007).
[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775-780 (2006).

Engelen, R. J. P.

Fage Pedersen, J.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

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]

Figotin, A.

A. Figotin and I. Vitebskiy, “Gigantic transmission band-edge resonance in periodic stacks of anisotropic layers,” Phys. Rev. E 72, 036619 (2005).
[CrossRef]

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M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
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J. She, E. Forsberg, X. Y. Ao, and S. L. He, “High-efficiency polarization beam splitters based on a two-dimensional polymer photonic crystal,” J. Opt. A, Pure Appl. Opt. 8, 345-349 (2006).
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R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
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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).
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S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
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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 (2005).
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Ha, S.

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).
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Hansen, O.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
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J. She, E. Forsberg, X. Y. Ao, and S. L. He, “High-efficiency polarization beam splitters based on a two-dimensional polymer photonic crystal,” J. Opt. A, Pure Appl. Opt. 8, 345-349 (2006).
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X. Y. Ao, L. Liu, L. Wosinski, and S. L. He, “Polarization beam splitter based on a two-dimensional photonic crystal of pillar type,” Appl. Phys. Lett. 89, 171115 (2006).
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M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
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J. T. Mok, M. Ibsen, C. M. de Sterke, and B. J. Eggleton, “Dispersionless slow light with 5-pulse-width delay in fibre Bragg grating,” Electron. Lett. 43, 1418-1419 (2007).
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R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
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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).
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S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
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M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
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M. Soljacic and J. D. Joannopoulos, “Enhancement of nonlinear effects using photonic crystals,” Nat. Mater. 3, 211-219 (2004).
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S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis,” Opt. Express 8, 173-190 (2001).

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

Johnson, S. G.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
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S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
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S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis,” Opt. Express 8, 173-190 (2001).

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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 (2005).
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S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
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R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, and N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14, 1658-1672 (2006).
[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 (2005).
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R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
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D. N. Chigrin, S. V. Zhukovsky, A. V. Lavrinenko, and J. Kroha, “Coupled nanopillar waveguides optical properties and applications,” Phys. Status Solidi A 204, 3647-3661 (2007).
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S. Ha, A. A. Sukhorukov, K. B. Dossou, L. C. Botten, A. V. Lavrinenko, D. N. Chigrin, and Yu. S. Kivshar, “Dispersionless tunneling of slow light in antisymmetric photonic crystal couplers,” Opt. Express 16, 1104-1114 (2008).
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R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

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).
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D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Numerical characterization of nanopillar photonic crystal waveguides and directional couplers,” Opt. Quantum Electron. 37, 331-341 (2005).
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D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Nanopillars photonic crystal waveguides,” Opt. Express 12, 617-622 (2004).
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Letartre, X.

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
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Littler, I. C. M.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775-780 (2006).

Liu, L.

X. Y. Ao, L. Liu, L. Wosinski, and S. L. He, “Polarization beam splitter based on a two-dimensional photonic crystal of pillar type,” Appl. Phys. Lett. 89, 171115 (2006).
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P. St. J. Russell, T. A. Birks, and F. D. Lloyd Lucas, “Photonic Bloch waves and photonic band gaps,” in Confined Electrons and Photons, E.Burstein and C.Weisbuch, eds. (Plenum, 1995), pp. 585-633.

Luo, C.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
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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).
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J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

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Michaeli, A.

Mok, J. T.

J. T. Mok, M. Ibsen, C. M. de Sterke, and B. J. Eggleton, “Dispersionless slow light with 5-pulse-width delay in fibre Bragg grating,” Electron. Lett. 43, 1418-1419 (2007).
[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775-780 (2006).

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Mossberg, T. W.

Moulin, G.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

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]

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R. Marz and H. P. Nolting, “Spectral properties of asymmetrical optical directional-couplers with periodic structures,” Opt. Quantum Electron. 19, 273-287 (1987).
[CrossRef]

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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]

Oksman, M.

Oliver, M. K.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

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R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

Perrone, G.

Petrich, G. S.

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
[CrossRef]

Peucheret, C.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

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]

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Rakich, P. T.

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
[CrossRef]

Rojo Romeo, P.

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

Roundy, D.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, “Anomalous dispersion relations by symmetry breaking in axially uniform waveguides,” Phys. Rev. Lett. 92, 063903 (2004).
[CrossRef]

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Russell, P. St. J.

P. St. J. Russell, T. A. Birks, and F. D. Lloyd Lucas, “Photonic Bloch waves and photonic band gaps,” in Confined Electrons and Photons, E.Burstein and C.Weisbuch, eds. (Plenum, 1995), pp. 585-633.

Saifi, M. A.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

Salib, M.

Seassal, C.

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

Settle, M. D.

She, J.

J. She, E. Forsberg, X. Y. Ao, and S. L. He, “High-efficiency polarization beam splitters based on a two-dimensional polymer photonic crystal,” J. Opt. A, Pure Appl. Opt. 8, 345-349 (2006).
[CrossRef]

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S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

Smith, H. I.

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5 μm light in photonic crystals based on dielectric rods,” Appl. Phys. Lett. 85, 6110-6112 (2004).
[CrossRef]

Smith, P. W.

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

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M. Soljacic and J. D. Joannopoulos, “Enhancement of nonlinear effects using photonic crystals,” Nat. Mater. 3, 211-219 (2004).
[CrossRef]

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Sugimoto, Y.

Sukhorukov, A. A.

Tokushima, M.

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5-μm-wavelength light guiding in waveguides in square-lattice-of-rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

Torres, C. M. S.

D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Numerical characterization of nanopillar photonic crystal waveguides and directional couplers,” Opt. Quantum Electron. 37, 331-341 (2005).
[CrossRef]

D. N. Chigrin, A. V. Lavrinenko, and C. M. S. Torres, “Nanopillars photonic crystal waveguides,” Opt. Express 12, 617-622 (2004).
[CrossRef]

Tsukernik, A.

van Hulst, N. F.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, and N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14, 1658-1672 (2006).
[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 (2005).
[CrossRef]

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X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

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A. Figotin and I. Vitebskiy, “Gigantic transmission band-edge resonance in periodic stacks of anisotropic layers,” Phys. Rev. E 72, 036619 (2005).
[CrossRef]

Vlasov, Y. A.

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]

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Winn, J. N.

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

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X. Y. Ao, L. Liu, L. Wosinski, and S. L. He, “Polarization beam splitter based on a two-dimensional photonic crystal of pillar type,” Appl. Phys. Lett. 89, 171115 (2006).
[CrossRef]

Yamada, H.

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5-μm-wavelength light guiding in waveguides in square-lattice-of-rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
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D. N. Chigrin, S. V. Zhukovsky, A. V. Lavrinenko, and J. Kroha, “Coupled nanopillar waveguides optical properties and applications,” Phys. Status Solidi A 204, 3647-3661 (2007).
[CrossRef]

Zsigri, B.

R. S. Jacobsen, K. N. Andersen, P. I. Borel, J. Fage Pedersen, L. H. Frandsen, O. Hansen, M. Kristensen, A. V. Lavrinenko, G. Moulin, H. Ou, C. Peucheret, B. Zsigri, and A. Bjarklev, “Strained silicon as a new electro-optic material,” Nature 441, 199-202 (2006).
[CrossRef]

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]

Appl. Opt. (1)

Appl. Phys. Lett. (5)

S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135-1137 (1987).
[CrossRef]

X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d'Yerville, D. Cassagne, and C. Jouanin, “Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes,” Appl. Phys. Lett. 79, 2312-2314 (2001).
[CrossRef]

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