Abstract

We investigate slow light propagation in monomode photonic crystal waveguides with different spectral features such as constant group index, high bandwidth and low group velocity dispersion. The form of the waveguide mode alters dramatically and spans three different spectral intervals by tuning the size of the boundary holes. Namely, slope of the band gap guided mode changes sign from negative to positive toward the Brillouin zone edge. In between there is a transition region where modes have nearly zero slopes. Maximum group index occurs at these turning points at the expense of high dispersion and narrow bandwidth. The apparent trade-off relationship between group index and bandwidth is revealed systematically. We show that as the radius of the innermost hole is increased above a certain value, the former one decreases and the latter one increases both exponentially but with a different ratio. The product of average group index and bandwidth is defined as a figure of merit which reaches up to a value of approximately 0.30 after a detailed parametric search. The findings of the frequency domain analysis obtained by plane wave expansion method are confirmed via finite-difference time-domain study.

© 2010 OSA

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2010 (3)

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

J. B. Khurgin, “Slow light in various media: a tutorial,” Adv. Opt. Photon. 2(3), 287–318 (2010).
[CrossRef]

2009 (7)

2008 (7)

J. Ma and C. Jiang, “Demonstration of Ultraslow Modes in Asymmetric Line-Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 20(14), 1237–1239 (2008).
[CrossRef]

J. Ma and C. Jiang, “Flatband slow light in asymmetric line-defect photonic crystal waveguide featuring low group velocity and dispersion,” IEEE J. Quantum Electron. 44(8), 763–769 (2008).
[CrossRef]

T. F. Krauss, “Why do we need slow light,” Nat. Photonics 2(8), 448–450 (2008).
[CrossRef]

T. Baba, “Slow light in photonic crystals,” Nat. Photonics 2(8), 465–473 (2008).
[CrossRef]

J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008).
[CrossRef] [PubMed]

F. Wang, J. Ma, and C. Jiang, “Dispersionless slow wave in novel 2-D photonic crystal line defect waveguides,” J. Lightwave Technol. 26(11), 1381–1386 (2008).
[CrossRef]

H. Kurt, H. Benisty, T. Melo, O. Khayam, and C. Cambournac, “Slow-light regime and critical coupling in highly multimode corrugated waveguides,” J. Opt. Soc. Am. B 25(12), C1–C14 (2008).
[CrossRef]

2007 (4)

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(1), 219–226 (2007).
[CrossRef] [PubMed]

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007).
[CrossRef]

T. Baba and D. Mori, “Slow light engineering in photonic crystals,” J. Phys. D Appl. Phys. 40(9), 2659–2665 (2007).
[CrossRef]

T. F. Krauss, “Slow light in photonic crystal waveguides,” J. Phys. D Appl. Phys. 40(9), 2666–2670 (2007).
[CrossRef]

2006 (2)

2005 (3)

2004 (2)

M. Notomi, A. Shinya, S. Mitsugi, E. Kuramochi, and H. Ryu, “Waveguides, resonators and their coupled elements in photonic crystal slabs,” Opt. Express 12(8), 1551–1561 (2004).
[CrossRef] [PubMed]

A. Yu. Petrove and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85(21), 4866–4868 (2004).
[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(3), 173–190 (2001).
[CrossRef] [PubMed]

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(25), 253902 (2001).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

1999 (1)

L. Hau, S. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Baba, T.

Y. Hamachi, S. Kubo, and T. Baba, “Slow light with low dispersion and nonlinear enhancement in a lattice-shifted photonic crystal waveguide,” Opt. Lett. 34(7), 1072–1074 (2009).
[CrossRef] [PubMed]

T. Baba, “Slow light in photonic crystals,” Nat. Photonics 2(8), 465–473 (2008).
[CrossRef]

T. Baba and D. Mori, “Slow light engineering in photonic crystals,” J. Phys. D Appl. Phys. 40(9), 2659–2665 (2007).
[CrossRef]

Behroozi, C.

L. Hau, S. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Behroozi, C. H.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

Benisty, H.

Borel, P. I.

Boyd, R. W.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of slow light in telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
[CrossRef]

Cambournac, C.

Cassan, E.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

Chang-Hasnain, C. J.

Dai, L.

L. Dai and C. Jiang, “Ultrawideband Low Dispersion Slow Light Waveguides,” J. Lightwave Technol. 27(14), 2862–2868 (2009).
[CrossRef]

L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009).
[CrossRef]

De La Rue, R. M.

Dingshan, G.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

Dutton, Z.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

L. Hau, S. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Eich, M.

A. Petrov, M. Krause, and M. Eich, “Backscattering and disorder limits in slow light photonic crystal waveguides,” Opt. Express 17(10), 8676–8684 (2009).
[CrossRef] [PubMed]

A. Yu. Petrove and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85(21), 4866–4868 (2004).
[CrossRef]

Engelen, R. J. P.

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. Photon. News 17(4), 18–23 (2006).
[CrossRef]

Gao, D.

J. Hou, D. Gao, H. Wu, R. Hao, and Z. Zhou, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 21(20), 1571–1573 (2009).
[CrossRef]

Gauthier, D. J.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of slow light in telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
[CrossRef]

Gomez-Iglesias, A.

Hamachi, Y.

Hao, R.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

J. Hou, D. Gao, H. Wu, R. Hao, and Z. Zhou, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 21(20), 1571–1573 (2009).
[CrossRef]

Harris, S.

L. Hau, S. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Hau, L.

L. Hau, S. Harris, Z. Dutton, and C. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Hau, L. V.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

Hou, J.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

J. Hou, D. Gao, H. Wu, R. Hao, and Z. Zhou, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 21(20), 1571–1573 (2009).
[CrossRef]

Hughes, S.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, “Disorder-induced scattering loss of line-defect waveguides in photonic crystal slabs,” Phys. Rev. B 72(16), 161318 (2005).
[CrossRef]

Jiang, C.

L. Dai and C. Jiang, “Ultrawideband Low Dispersion Slow Light Waveguides,” J. Lightwave Technol. 27(14), 2862–2868 (2009).
[CrossRef]

L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009).
[CrossRef]

J. Ma and C. Jiang, “Flatband slow light in asymmetric line-defect photonic crystal waveguide featuring low group velocity and dispersion,” IEEE J. Quantum Electron. 44(8), 763–769 (2008).
[CrossRef]

J. Ma and C. Jiang, “Demonstration of Ultraslow Modes in Asymmetric Line-Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 20(14), 1237–1239 (2008).
[CrossRef]

F. Wang, J. Ma, and C. Jiang, “Dispersionless slow wave in novel 2-D photonic crystal line defect waveguides,” J. Lightwave Technol. 26(11), 1381–1386 (2008).
[CrossRef]

Joannopoulos, J. D.

Johnson, S. G.

Khayam, O.

Khurgin, J. B.

Krause, M.

Krauss, T. F.

Ku, P.-C.

Kubo, S.

Kuipers, L.

Kuramochi, E.

Kurt, H.

Lavrinenko, A. V.

Le Roux, X.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

Li, J.

Liu, C.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

Ma, J.

J. Ma and C. Jiang, “Flatband slow light in asymmetric line-defect photonic crystal waveguide featuring low group velocity and dispersion,” IEEE J. Quantum Electron. 44(8), 763–769 (2008).
[CrossRef]

J. Ma and C. Jiang, “Demonstration of Ultraslow Modes in Asymmetric Line-Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 20(14), 1237–1239 (2008).
[CrossRef]

F. Wang, J. Ma, and C. Jiang, “Dispersionless slow wave in novel 2-D photonic crystal line defect waveguides,” J. Lightwave Technol. 26(11), 1381–1386 (2008).
[CrossRef]

Marris-Morini, D.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

Melo, T.

Michaeli, A.

Mitsugi, S.

Mori, D.

T. Baba and D. Mori, “Slow light engineering in photonic crystals,” J. Phys. D Appl. Phys. 40(9), 2659–2665 (2007).
[CrossRef]

Notomi, M.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, “Fast bistable all-optical switch and memory on a silicon photonic crystal on-chip,” Opt. Lett. 30(19), 2575–2577 (2005).
[CrossRef] [PubMed]

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, “Disorder-induced scattering loss of line-defect waveguides in photonic crystal slabs,” Phys. Rev. B 72(16), 161318 (2005).
[CrossRef]

M. Notomi, A. Shinya, S. Mitsugi, E. Kuramochi, and H. Ryu, “Waveguides, resonators and their coupled elements in photonic crystal slabs,” Opt. Express 12(8), 1551–1561 (2004).
[CrossRef] [PubMed]

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(25), 253902 (2001).
[CrossRef] [PubMed]

O’Faolain, L.

Petrov, A.

Petrove, A. Yu.

A. Yu. Petrove and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85(21), 4866–4868 (2004).
[CrossRef]

Ramunno, L.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, “Disorder-induced scattering loss of line-defect waveguides in photonic crystal slabs,” Phys. Rev. B 72(16), 161318 (2005).
[CrossRef]

Rawal, S.

Ryu, H.

Salib, M.

Sekaric, L.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007).
[CrossRef]

Settle, M. D.

Shinya, A.

T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, “Fast bistable all-optical switch and memory on a silicon photonic crystal on-chip,” Opt. Lett. 30(19), 2575–2577 (2005).
[CrossRef] [PubMed]

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, “Disorder-induced scattering loss of line-defect waveguides in photonic crystal slabs,” Phys. Rev. B 72(16), 161318 (2005).
[CrossRef]

M. Notomi, A. Shinya, S. Mitsugi, E. Kuramochi, and H. Ryu, “Waveguides, resonators and their coupled elements in photonic crystal slabs,” Opt. Express 12(8), 1551–1561 (2004).
[CrossRef] [PubMed]

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(25), 253902 (2001).
[CrossRef] [PubMed]

Sinha, R. K.

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(25), 253902 (2001).
[CrossRef] [PubMed]

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(25), 253902 (2001).
[CrossRef] [PubMed]

Tanabe, T.

Tucker, R. S.

Vivien, L.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

Vlasov, Y.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007).
[CrossRef]

Wang, F.

Watanabe, T.

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, “Disorder-induced scattering loss of line-defect waveguides in photonic crystal slabs,” Phys. Rev. B 72(16), 161318 (2005).
[CrossRef]

White, T. P.

Wu, H.

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

J. Hou, D. Gao, H. Wu, R. Hao, and Z. Zhou, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 21(20), 1571–1573 (2009).
[CrossRef]

Xia, F.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007).
[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(25), 253902 (2001).
[CrossRef] [PubMed]

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(25), 253902 (2001).
[CrossRef] [PubMed]

Zhang, X.

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

Zhou, Z.

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
[CrossRef] [PubMed]

J. Hou, D. Gao, H. Wu, R. Hao, and Z. Zhou, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 21(20), 1571–1573 (2009).
[CrossRef]

Adv. Opt. Photon. (1)

Appl. Phys. B (1)

L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009).
[CrossRef]

Appl. Phys. Lett. (1)

A. Yu. Petrove and M. Eich, “Zero dispersion at small group velocities in photonic crystal waveguides,” Appl. Phys. Lett. 85(21), 4866–4868 (2004).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. Ma and C. Jiang, “Flatband slow light in asymmetric line-defect photonic crystal waveguide featuring low group velocity and dispersion,” IEEE J. Quantum Electron. 44(8), 763–769 (2008).
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IEEE Photon. Technol. Lett. (3)

J. Ma and C. Jiang, “Demonstration of Ultraslow Modes in Asymmetric Line-Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 20(14), 1237–1239 (2008).
[CrossRef]

J. Hou, D. Gao, H. Wu, R. Hao, and Z. Zhou, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystal Waveguides,” IEEE Photon. Technol. Lett. 21(20), 1571–1573 (2009).
[CrossRef]

R. Hao, E. Cassan, H. Kurt, J. Hou, X. Le Roux, D. Marris-Morini, L. Vivien, G. Dingshan, Z. Zhou, and X. Zhang, “Novel Kind of Semislow Light Photonic Crystal Waveguides With Large Delay-Bandwidth Product,” IEEE Photon. Technol. Lett. 22(11), 844–846 (2010).
[CrossRef]

J. Lightwave Technol. (3)

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

J. Phys. D Appl. Phys. (2)

T. Baba and D. Mori, “Slow light engineering in photonic crystals,” J. Phys. D Appl. Phys. 40(9), 2659–2665 (2007).
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Nat. Photonics (3)

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T. Baba, “Slow light in photonic crystals,” Nat. Photonics 2(8), 465–473 (2008).
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F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007).
[CrossRef]

Nature (2)

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
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J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008).
[CrossRef] [PubMed]

R. Hao, E. Cassan, H. Kurt, X. Le Roux, D. Marris-Morini, L. Vivien, H. Wu, Z. Zhou, and X. Zhang, “Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion,” Opt. Express 18(6), 5942–5950 (2010).
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A. Petrov, M. Krause, and M. Eich, “Backscattering and disorder limits in slow light photonic crystal waveguides,” Opt. Express 17(10), 8676–8684 (2009).
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Opt. Lett. (2)

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Phys. Rev. B (1)

E. Kuramochi, M. Notomi, S. Hughes, A. Shinya, T. Watanabe, and L. Ramunno, “Disorder-induced scattering loss of line-defect waveguides in photonic crystal slabs,” Phys. Rev. B 72(16), 161318 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

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(25), 253902 (2001).
[CrossRef] [PubMed]

Other (2)

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Supplementary Material (1)

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Figures (14)

Fig. 1
Fig. 1

The representative picture of the investigated slow light photonic crystal waveguide. The holes inside the rectangles with dashed lines are subject to size variation. Their radii are represented by r d . The radii of the remaining holes in background are r b = 0.30 a and the relative permittivity of dielectric material is 12. The two insets on the right and left hand sides show the two defined variables, r b and r d , respectively.

Fig. 2
Fig. 2

The defect bands of the dispersion diagram of PCW. Solid- and dashed-lines correspond to even and odd modes, respectively. The radii of holes in the first rows and background are r b = r d = 0.30a.

Fig. 3
Fig. 3

The group index spectrum of photonic crystal waveguide with respect to normalized frequency.

Fig. 4
Fig. 4

Evolution of dispersion curves of photonic crystal waveguide with changing boundary holes’ size. The background holes have radii of r b = 0.30 a and first row of holes’ radii are varied from r d = 0.20 a to 0.4750 a .

Fig. 5
Fig. 5

Group index spectrum of bands in Fig. 4. The three arrows show the spectral points whose electric field distributions are presented in Fig. 6. The double arrow indicates the interval of a group of modes that have large GVD.

Fig. 6
Fig. 6

Electric field distributions of three cases are prepared. (a) ( r b , r d ) = ( 0.30 a , 0.20 a ) , (b) ( r b , r d ) = ( 0.30 a , 0.35 a ) and (c) ( r b , r d ) = ( 0.30 a , 0.4625 a ) . The wave vector is fixed at k = 0.40 ( 2 π / a ) for the three cases.

Fig. 7
Fig. 7

(a) Group index vs. frequency plots for r d values ranging from 0.3625a to 0.40a. (b) Group index vs. frequency plots for r d values from 0.4125a to 0.45a.

Fig. 8
Fig. 8

(a) The bandwidth variation corresponding to an interval such that group index does not exceed 10% of the local minima. (b) The constant group index dependency with respect to holes’ radii.

Fig. 9
Fig. 9

The average group index and bandwidth product dependency to boundary hole size variation.

Fig. 10
Fig. 10

The group velocity dispersion relation of the slow light PCW for (a) r d = 0.3875 a and (b) r d = 0.45 a .

Fig. 11
Fig. 11

(a) A part of the computational domain employed in the FDTD study is shown as an inset in the figure. The side rows of holes radii are 0.4375a. The length of the PCW is 300a and the distance between two detection points is 32a. Time domain data are stored at equally placed detection points along waveguide centerline. Lines with circular and square markers indicate slow light’s and fast light’s delay time data, respectively. (b)-(e) Time domain optical pulse evolutions of slow light at four selected propagation distances.

Fig. 12
Fig. 12

(Media 1) Light propagation through PCW. (a) The time snap-shots of the fast and slow light are shown in (a) and (b), respectively. (c) The spatial field distribution of slow light in (b) after propagating until the end of the waveguide.

Fig. 13
Fig. 13

Average group index and bandwidth product map of slow light photonic crystal waveguide. The filling factor changes with r b , and two sides air holes are altered by parameter r d . (b) and (c) indicate group index and bandwidth variation, respectively when r b is fixed at 0.36a.

Fig. 14
Fig. 14

The logarithmic plot of the disorder induced losses versus length of slow light waveguide. The solid line is a fitting curve to discrete data points.

Tables (1)

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Table 1 Turning point variation

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