Abstract

We demonstrate that a holey photonic-crystal fiber with chalcogenide-glass index contrast can be designed to have a complete gap at a propagation constant β=0 that also extends into the non-zero β region. This type of bandgap (previously identified only at index contrasts unattainable in glasses) opens up a regime for guiding zero—group-velocity modes not possible in holey fibers with the more common finger-like gaps originating from β→∞. Such modes could be used to enhance nonlinear and other material interactions, such as for hollow-core fibers in gas-sensor applications.

© 2009 Optical Society of America

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    [CrossRef] [PubMed]
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2009 (1)

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, "Robust design of slow-light tapers in periodic waveguides," Engineering Optimization 41, 365-384 (2009).
[CrossRef]

2008 (3)

C. Jiang, M. Ibanescu, J. Joannopoulos, and M. Soljacic, "Zero-group-velocity modes in longitudinally uniform waveguides," Appl. Phys. Lett. 93, 241,111 (2008).
[CrossRef]

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, "The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers," Opt. Express 16, 11,376-11,392 (2008).
[CrossRef]

T. Baba, "Slow light in photonic crystals," Nature Photonics 2, 465-473 (2008).
[CrossRef]

2007 (1)

2006 (4)

L. Brilland, F. Smektala, G. Renversez, T. Chartier, J. Troles, T. Nguyen, N. Traynor, and A. Monteville, "Fabrication of complex structures of Holey Fibers in Chalcogenide glass," Opt. Express 14, 1280-1285 (2006).
[CrossRef] [PubMed]

J. McMillan, X. Yang, N. Panoiu, R. Osgood, and C. Wong, "Enhanced stimulated Raman scattering in slow-light photonic crystal waveguides," Opt. Lett. 31, 1235-1237 (2006).
[CrossRef] [PubMed]

J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
[CrossRef]

T. Haas, A. Hesse, and T. Doll, "Omnidirectional two-dimensional photonic crystal band gap structures," Phys. Rev. B 73(045130) (2006).

2005 (6)

2004 (8)

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, "Anomalous Dispersion Relation by Symmetry Breaking in Axially Uniform Waveguides," Phys. Rev. Lett. 92, 063,903 (2004).
[CrossRef]

K. Saitoh, N. Mortensen, and M. Koshiba, "Air-core photonic band-gap fibers: The impact of surface modes," Opt. Express 12, 394-400 (2004).
[CrossRef] [PubMed]

E. Magi, P. Steinvurzel, and B. Eggleton, "Tapered photonic crystal fibers," Opt. Express 12, 776-784 (2004).
[CrossRef] [PubMed]

J. West, C. Smith., N. Borrelli, D. Allan, and K. Koch, "Surface modes in air-core photonic band-gap fibers," Opt. Express 12, 1485-1496 (2004).
[CrossRef] [PubMed]

M. Soljačić, E. Lidorikis, M. Ibanescu, S. Johnson, J. Joannopoulos, and Y. Fink, "Optical bistability and cutoff solitons in photonic bandgap fibers," Opt. Express 12, 1518-1527 (2004).
[CrossRef] [PubMed]

H. Kim, M. Digonnet, G. Kino, J. Shin, and S. Fan, "Simulations of the effect of the core ring on surface and air-core modes in photonic bandgap fibers," Opt. Express 12, 3436-3442 (2004).
[CrossRef] [PubMed]

T. Ritari, J. Tuominen, H. Ludvigsen, J. Petersen, T. Sørensen, T. Hansen, and H. Simonsen, "Gas sensing using air-guiding photonic bandgap fibers," Opt. Express 12, 4080-4087 (2004).
[CrossRef] [PubMed]

J. B. Jensen, L. H. Pedersen, P. E. Hoiby, L. B. Nielsen, T. P. Hansen, J. R. Folkenberg, J. Riishede, D. Noordegraaf, K. Nielsen, A. Carlsen, and A. Bjarklev, "Photonic crystal fiber based evanescent-wave sensor for detection of biomolecules in aqueous solutions," Opt. Lett. 29, 1974-1976 (2004).
[CrossRef] [PubMed]

2003 (9)

W. Wadsworth, R. Percival, G. Bouwmans, J. Knight, and P. Russell, "High power air-clad photonic crystal fibre laser," Opt. Express 11, 48-53 (2003).
[CrossRef] [PubMed]

M. Soljačić, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and Y. Fink, "Optical bistability in axially modulated OmniGuide fibers," Opt. Lett. 28, 516-518 (2003).
[CrossRef] [PubMed]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, T. Tunnermann, R. Iliew, F. Lederer, J. Broeng, G. Vienne, A. Petersson, and C. Jakobsen, "High-power air-clad large-mode-area photonic crystal fiber laser," Opt. Express 11, 818-823 (2003).
[CrossRef] [PubMed]

Y. L. Hoo, W. Jin, C. Shi, H. L. Ho, D. N. Wang, and S. C. Ruan, "Design and Modeling of a Photonic Crystal Fiber Gas Sensor," Appl. Opt. 42, 3509-3515 (2003).
[CrossRef] [PubMed]

V. V. R. K. Kumar, A. George, J. Knight, and P. Russell, "Tellurite photonic crystal fiber," Opt. Express 11, 2641-2645 (2003).
[CrossRef] [PubMed]

J. Pottage, D. Bird, T. Hedley, T. Birks, J. Knight, P. Russell, and P. Roberts, "Robust photonic band gaps for hollow core guidance in PCF made from high index glass," Opt. Express 11, 2854-2861 (2003).
[CrossRef] [PubMed]

P. Russell, "Photonic Crystal Fibers," Science 299(5605), 358-362 (2003).
[CrossRef]

M. Ibanescu, S. G. Johnson, M. Soljačić, J. D. Joannopoulos, Y. Fink, O. Weisberg, T. D. Engeness, S. A. Jacobs, and M. Skorobogatiy, "Analysis of mode structure in hollow dielectric waveguide fibers," Phys. Rev. E 67, 046,608 (2003).
[CrossRef]

R. Chern, C. Chang, C. Chang, and R. Hwang, "Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration," Phys. Rev. E 68(026704) (2003).

2002 (6)

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

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, "Stimulated Raman Scattering in Hydrogen-Filled Hollow-Core Photonic Crystal Fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

B. Lee, J. Eom, J. Kim, D. Moon, U.-C. Park, and G.-H. Yang, "Photonic crystal fiber coupler," Opt. Lett. 27, 812-814 (2002).
[CrossRef]

A. Talneau, P. Lalanne, M. Agio, and C. Soukoulis, "Low-reflection photonic-crstal taper for efficient coupling between guide sections of arbitrary widths," Opt. Lett. 27, 1522-1524 (2002).
[CrossRef]

M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of non-linear phase sensitivity," J. Opt. Soc. Am. B 19, 2052-2059 (2002).
[CrossRef]

2001 (4)

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253,902 (2001).
[CrossRef]

A. Mekis and J. Joannopoulos, "Tapered Couplers for Efficient Interfacing Between Dielectric and Photonic Crystl Waveguides," J. Lightwave Tech. 19, 861-865 (2001).
[CrossRef]

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).
[CrossRef] [PubMed]

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers," Opt. Express 9, 748-779 (2001).
[CrossRef] [PubMed]

2000 (1)

T. Monro, Y. West, D. Hewak, N. Broderick, and D. Richardson, "Chalcogenide holey fibres," Electron. Lett. 36, 1998-2000 (2000).
[CrossRef]

1998 (1)

J. C. Knight, J. Broeng, T. A. Birks, and P. S.-J. Russell, "Photonic band gap guidance in optical fibers," Science 282, 1476-1478 (1998).
[CrossRef] [PubMed]

1997 (1)

1996 (1)

X.-P. Feng and Y. Arawaka, "Off-plane angle dependence of photonic band gap in a two dimensional photonic crystal," IEEE J. Quantum Electron. 32, 535-542 (1996).
[CrossRef]

1994 (2)

J. Winn, R. Meade, and J. Joannopoulos, "Two-dimensional Photonic Band-gap Materials," J. Mod. Opt. 41, 257-273 (1994).
[CrossRef]

A. Maradudin and A. McGurn, "Out of Plane Propagation of Electromagnetic Waves in a Two-dimensional Periodic Dielectric Medium," J. Mod. Opt. 41, 275-284 (1994).
[CrossRef]

1992 (1)

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).
[CrossRef]

1990 (1)

A. Bamberger and A. S. Bonnet, "Mathematical Analysis of the Guided Modes of an Optical Fiber," J. Math. Anal. 21, 1487-1510 (1990).

1989 (1)

Agio, M.

Antonopoulos, G.

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, "Stimulated Raman Scattering in Hydrogen-Filled Hollow-Core Photonic Crystal Fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

Arawaka, Y.

X.-P. Feng and Y. Arawaka, "Off-plane angle dependence of photonic band gap in a two dimensional photonic crystal," IEEE J. Quantum Electron. 32, 535-542 (1996).
[CrossRef]

Argyros, A.

Avniel, Y.

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, "Robust design of slow-light tapers in periodic waveguides," Engineering Optimization 41, 365-384 (2009).
[CrossRef]

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, "The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers," Opt. Express 16, 11,376-11,392 (2008).
[CrossRef]

Baba, T.

Bamberger, A.

A. Bamberger and A. S. Bonnet, "Mathematical Analysis of the Guided Modes of an Optical Fiber," J. Math. Anal. 21, 1487-1510 (1990).

Benabid, F.

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, "Stimulated Raman Scattering in Hydrogen-Filled Hollow-Core Photonic Crystal Fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

Bienstman, P.

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

Bird, D.

Birks, T.

Birks, T. A.

J. C. Knight, J. Broeng, T. A. Birks, and P. S.-J. Russell, "Photonic band gap guidance in optical fibers," Science 282, 1476-1478 (1998).
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Bosc, D.

J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
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Bouwmans, G.

Boyd, S.

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, "Robust design of slow-light tapers in periodic waveguides," Engineering Optimization 41, 365-384 (2009).
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Brilland, L.

L. Brilland, F. Smektala, G. Renversez, T. Chartier, J. Troles, T. Nguyen, N. Traynor, and A. Monteville, "Fabrication of complex structures of Holey Fibers in Chalcogenide glass," Opt. Express 14, 1280-1285 (2006).
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J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
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Broderick, N.

T. Monro, Y. West, D. Hewak, N. Broderick, and D. Richardson, "Chalcogenide holey fibres," Electron. Lett. 36, 1998-2000 (2000).
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Broeng, J.

Brommer, K.

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).
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Carlsen, A.

Chang, C.

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R. Chern, C. Chang, C. Chang, and R. Hwang, "Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration," Phys. Rev. E 68(026704) (2003).

Chartier, T.

L. Brilland, F. Smektala, G. Renversez, T. Chartier, J. Troles, T. Nguyen, N. Traynor, and A. Monteville, "Fabrication of complex structures of Holey Fibers in Chalcogenide glass," Opt. Express 14, 1280-1285 (2006).
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J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
[CrossRef]

Chern, R.

R. Chern, C. Chang, C. Chang, and R. Hwang, "Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration," Phys. Rev. E 68(026704) (2003).

Cordeiro, C. M.

Digonnet, M.

Doll, T.

T. Haas, A. Hesse, and T. Doll, "Omnidirectional two-dimensional photonic crystal band gap structures," Phys. Rev. B 73(045130) (2006).

Eggleton, B.

Engelen, R.

Engeness, D.

M. Ibanescu, S. G. Johnson, M. Soljačić, J. D. Joannopoulos, Y. Fink, O. Weisberg, T. D. Engeness, S. A. Jacobs, and M. Skorobogatiy, "Analysis of mode structure in hollow dielectric waveguide fibers," Phys. Rev. E 67, 046,608 (2003).
[CrossRef]

Engeness, T. D.

Eom, J.

Fan, S.

Farjadpour, A.

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, "Robust design of slow-light tapers in periodic waveguides," Engineering Optimization 41, 365-384 (2009).
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X.-P. Feng and Y. Arawaka, "Off-plane angle dependence of photonic band gap in a two dimensional photonic crystal," IEEE J. Quantum Electron. 32, 535-542 (1996).
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Folkenberg, J. R.

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K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

George, A.

Haas, T.

T. Haas, A. Hesse, and T. Doll, "Omnidirectional two-dimensional photonic crystal band gap structures," Phys. Rev. B 73(045130) (2006).

Hamann, H.

Y. Vlasov, M. O’Boyle, H. Hamann, and S. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
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Hansen, T.

Hansen, T. P.

Hedley, T.

Hesse, A.

T. Haas, A. Hesse, and T. Doll, "Omnidirectional two-dimensional photonic crystal band gap structures," Phys. Rev. B 73(045130) (2006).

Hewak, D.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
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T. Monro, Y. West, D. Hewak, N. Broderick, and D. Richardson, "Chalcogenide holey fibres," Electron. Lett. 36, 1998-2000 (2000).
[CrossRef]

Ho, H. L.

Hoiby, P. E.

Hoo, Y. L.

Hwang, R.

R. Chern, C. Chang, C. Chang, and R. Hwang, "Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration," Phys. Rev. E 68(026704) (2003).

Ibanescu, M.

C. Jiang, M. Ibanescu, J. Joannopoulos, and M. Soljacic, "Zero-group-velocity modes in longitudinally uniform waveguides," Appl. Phys. Lett. 93, 241,111 (2008).
[CrossRef]

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, "Anomalous Dispersion Relation by Symmetry Breaking in Axially Uniform Waveguides," Phys. Rev. Lett. 92, 063,903 (2004).
[CrossRef]

M. Soljačić, E. Lidorikis, M. Ibanescu, S. Johnson, J. Joannopoulos, and Y. Fink, "Optical bistability and cutoff solitons in photonic bandgap fibers," Opt. Express 12, 1518-1527 (2004).
[CrossRef] [PubMed]

M. Ibanescu, S. G. Johnson, M. Soljačić, J. D. Joannopoulos, Y. Fink, O. Weisberg, T. D. Engeness, S. A. Jacobs, and M. Skorobogatiy, "Analysis of mode structure in hollow dielectric waveguide fibers," Phys. Rev. E 67, 046,608 (2003).
[CrossRef]

M. Soljačić, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and Y. Fink, "Optical bistability in axially modulated OmniGuide fibers," Opt. Lett. 28, 516-518 (2003).
[CrossRef] [PubMed]

M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of non-linear phase sensitivity," J. Opt. Soc. Am. B 19, 2052-2059 (2002).
[CrossRef]

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

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers," Opt. Express 9, 748-779 (2001).
[CrossRef] [PubMed]

Iliew, R.

Ippen, E.

Jacobs, S. A.

M. Ibanescu, S. G. Johnson, M. Soljačić, J. D. Joannopoulos, Y. Fink, O. Weisberg, T. D. Engeness, S. A. Jacobs, and M. Skorobogatiy, "Analysis of mode structure in hollow dielectric waveguide fibers," Phys. Rev. E 67, 046,608 (2003).
[CrossRef]

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers," Opt. Express 9, 748-779 (2001).
[CrossRef] [PubMed]

Jakobsen, C.

Jensen, J. B.

Jiang, C.

C. Jiang, M. Ibanescu, J. Joannopoulos, and M. Soljacic, "Zero-group-velocity modes in longitudinally uniform waveguides," Appl. Phys. Lett. 93, 241,111 (2008).
[CrossRef]

Jin, W.

Joannopoulos, J.

C. Jiang, M. Ibanescu, J. Joannopoulos, and M. Soljacic, "Zero-group-velocity modes in longitudinally uniform waveguides," Appl. Phys. Lett. 93, 241,111 (2008).
[CrossRef]

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

M. Soljačić, E. Lidorikis, M. Ibanescu, S. Johnson, J. Joannopoulos, and Y. Fink, "Optical bistability and cutoff solitons in photonic bandgap fibers," Opt. Express 12, 1518-1527 (2004).
[CrossRef] [PubMed]

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

A. Mekis and J. Joannopoulos, "Tapered Couplers for Efficient Interfacing Between Dielectric and Photonic Crystl Waveguides," J. Lightwave Tech. 19, 861-865 (2001).
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J. Winn, R. Meade, and J. Joannopoulos, "Two-dimensional Photonic Band-gap Materials," J. Mod. Opt. 41, 257-273 (1994).
[CrossRef]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).
[CrossRef]

Joannopoulos, J. D.

Johnson, S.

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, "Robust design of slow-light tapers in periodic waveguides," Engineering Optimization 41, 365-384 (2009).
[CrossRef]

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, "The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers," Opt. Express 16, 11,376-11,392 (2008).
[CrossRef]

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

M. Soljačić, E. Lidorikis, M. Ibanescu, S. Johnson, J. Joannopoulos, and Y. Fink, "Optical bistability and cutoff solitons in photonic bandgap fibers," Opt. Express 12, 1518-1527 (2004).
[CrossRef] [PubMed]

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

Johnson, S. G.

Jouan, T.

J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
[CrossRef]

Kiang, K.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
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Kim, J.

Kino, G.

Knight, J.

Knight, J. C.

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, "Stimulated Raman Scattering in Hydrogen-Filled Hollow-Core Photonic Crystal Fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

J. C. Knight, J. Broeng, T. A. Birks, and P. S.-J. Russell, "Photonic band gap guidance in optical fibers," Science 282, 1476-1478 (1998).
[CrossRef] [PubMed]

T. A. Birks, J. C. Knight, and P. S. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).
[CrossRef] [PubMed]

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Koshiba, M.

Krauss, T.

Kuipers, L.

Kumar, V. V. R. K.

Lalanne, P.

Lederer, F.

Lee, B.

Leon-Saval, S.

Lidorikis, E.

M. Soljačić, E. Lidorikis, M. Ibanescu, S. Johnson, J. Joannopoulos, and Y. Fink, "Optical bistability and cutoff solitons in photonic bandgap fibers," Opt. Express 12, 1518-1527 (2004).
[CrossRef] [PubMed]

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

Limpert, J.

Luan, F.

Ludvigsen, H.

Luo, C.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, "Anomalous Dispersion Relation by Symmetry Breaking in Axially Uniform Waveguides," Phys. Rev. Lett. 92, 063,903 (2004).
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A. Maradudin and A. McGurn, "Out of Plane Propagation of Electromagnetic Waves in a Two-dimensional Periodic Dielectric Medium," J. Mod. Opt. 41, 275-284 (1994).
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A. Maradudin and A. McGurn, "Out of Plane Propagation of Electromagnetic Waves in a Two-dimensional Periodic Dielectric Medium," J. Mod. Opt. 41, 275-284 (1994).
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McMillan, J.

McNab, S.

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

Meade, R.

J. Winn, R. Meade, and J. Joannopoulos, "Two-dimensional Photonic Band-gap Materials," J. Mod. Opt. 41, 257-273 (1994).
[CrossRef]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).
[CrossRef]

Mekis, A.

A. Mekis and J. Joannopoulos, "Tapered Couplers for Efficient Interfacing Between Dielectric and Photonic Crystl Waveguides," J. Lightwave Tech. 19, 861-865 (2001).
[CrossRef]

Michaeli, A.

Monro, T.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

T. Monro, Y. West, D. Hewak, N. Broderick, and D. Richardson, "Chalcogenide holey fibres," Electron. Lett. 36, 1998-2000 (2000).
[CrossRef]

Monteville, A.

Moon, D.

Moore, R.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

Mori, D.

Mortensen, N.

Mutapcic, A.

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, "Robust design of slow-light tapers in periodic waveguides," Engineering Optimization 41, 365-384 (2009).
[CrossRef]

Nguyen, T.

Nielsen, K.

Nielsen, L. B.

Nishii, J.

Nolte, S.

Noordegraaf, D.

Notomi, M.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253,902 (2001).
[CrossRef]

O’Boyle, M.

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

Osgood, R.

Oskooi, A.

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, "The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers," Opt. Express 16, 11,376-11,392 (2008).
[CrossRef]

Panoiu, N.

Park, U.-C.

Pedersen, L. H.

Percival, R.

Person, J. L.

J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
[CrossRef]

Petersen, J.

Petersson, A.

Pottage, J.

Povinelli, M.

Rappe, A.

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).
[CrossRef]

Renversez, G.

Richardson, D.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

T. Monro, Y. West, D. Hewak, N. Broderick, and D. Richardson, "Chalcogenide holey fibres," Electron. Lett. 36, 1998-2000 (2000).
[CrossRef]

Riishede, J.

Ritari, T.

Roberts, P.

Roundy, D.

M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, "Anomalous Dispersion Relation by Symmetry Breaking in Axially Uniform Waveguides," Phys. Rev. Lett. 92, 063,903 (2004).
[CrossRef]

Ruan, S. C.

Russell, P.

Russell, P. S.

Russell, P. S. J.

A. Argyros, T. Birks, S. Leon-Saval, C. M. Cordeiro, F. Luan, and P. S. J. Russell, "Photonic bandgap with an index step of one percent," Opt. Express 13, 309-314 (2005).
[CrossRef] [PubMed]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. S. J. Russell, "Stimulated Raman Scattering in Hydrogen-Filled Hollow-Core Photonic Crystal Fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

Russell, P. S.-J.

J. C. Knight, J. Broeng, T. A. Birks, and P. S.-J. Russell, "Photonic band gap guidance in optical fibers," Science 282, 1476-1478 (1998).
[CrossRef] [PubMed]

Rutt, H.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

Saitoh, K.

Salib, M.

Scalora, M.

Schreiber, T.

Settle, M.

Shi, C.

Shin, J.

Shinya, A.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253,902 (2001).
[CrossRef]

Shum, P.

Simonsen, H.

Skorobogatiy, M.

M. Ibanescu, S. G. Johnson, M. Soljačić, J. D. Joannopoulos, Y. Fink, O. Weisberg, T. D. Engeness, S. A. Jacobs, and M. Skorobogatiy, "Analysis of mode structure in hollow dielectric waveguide fibers," Phys. Rev. E 67, 046,608 (2003).
[CrossRef]

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

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers," Opt. Express 9, 748-779 (2001).
[CrossRef] [PubMed]

Smektala, F.

J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
[CrossRef]

L. Brilland, F. Smektala, G. Renversez, T. Chartier, J. Troles, T. Nguyen, N. Traynor, and A. Monteville, "Fabrication of complex structures of Holey Fibers in Chalcogenide glass," Opt. Express 14, 1280-1285 (2006).
[CrossRef] [PubMed]

Smith, C.

Soljacic, M.

Sørensen, T.

Soukoulis, C.

Steinvurzel, P.

Takahashi, J.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, and I. Yokohama, "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87, 253,902 (2001).
[CrossRef]

Talneau, A.

Traynor, N.

Troles, J.

L. Brilland, F. Smektala, G. Renversez, T. Chartier, J. Troles, T. Nguyen, N. Traynor, and A. Monteville, "Fabrication of complex structures of Holey Fibers in Chalcogenide glass," Opt. Express 14, 1280-1285 (2006).
[CrossRef] [PubMed]

J. L. Person, F. Smektala, T. Chartier, L. Brilland, T. Jouan, J. Troles, and D. Bosc, "Light guidance in new chalcogenide holey fibres from GeGaSbS glass," Mater. Res. Bull. 41, 1303 - 1309 (2006).
[CrossRef]

Tucknott, J.

K. Kiang, K. Frampton, T. Monro, R. Moore, J. Tucknott, D. Hewak, D. Richardson, and H. Rutt, "Extruded singlemode non-silica glass holey optical fibres," Electron. Lett. 38, 546-547 (2002).
[CrossRef]

Tunnermann, T.

Tuominen, J.

Vienne, G.

Vlasov, Y.

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

Wadsworth, W.

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Weisberg, O.

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Figures (6)

Fig. 1.
Fig. 1.

Projected band diagram (frequency ω vs. propagation constant β), for a triangular lattice of holes (inset). Inset: optimized 2d (β=0) gap size vs. index contrast.

Fig. 2.
Fig. 2.

Projected band diagram (frequency ω vs. propagation constant β), for a triangular lattice of hexagonal-shaped holes (inset). Inset: optimized 2d (β=0) gap size vs. index contrast.

Fig. 3.
Fig. 3.

Doubly-degenerate Γ6 defect modes for a triangular lattice of hexagonal-shaped holes with periodicity a obtained by varying inscribed defect diameter of a hexagonal-shaped air core: a) D=1.6a (fundamental-like) b) D=3.2a c) D=6.2a d) D=6.76a (blue/white/red=negative/zero/positive).

Fig. 4.
Fig. 4.

Fraction of electric-field energy ε |E|2 in the hexagonal-shaped air core (as in Fig. 3) as a function of the core radius (radius of inscribed circle). Inset: frequency ω at β=0 of guided mode vs. core radius.

Fig. 5.
Fig. 5.

Air-core guided mode in gap of Fig. 2, with insets showing electric-field Ez and Poynting vector Sz (blue/white/red=negative/zero/positive).

Fig. 6.
Fig. 6.

Solid-core guided mode in gap of Fig. 2, with insets showing electric-field Ez and Poynting vector Sz (blue/white/red=negative/zero/positive).

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