Abstract

We study the resonant transmission of light in a coupled-resonator optical waveguide interacting with two nearly identical side cavities. We reveal and describe a novel effect of the coupled-resonator-induced reflection (CRIR) characterized by a very high and easily tunable quality factor of the reflection line, for the case of the inter-site coupling between the cavities and the waveguide. This effect differs sharply from the coupled-resonator-induced transparency (CRIT) - an all-optical analogue of the electromagnetically-induced transparency - which has recently been studied theoretically and experimentally for the structures based on micro-ring resonators and photonic crystal cavities. Both CRIR and CRIT effects have the same physical origin which can be attributed to the Fano-Feshbach resonances in the systems exhibiting more than one resonance. We discuss the applicability of the novel CRIR effect to the control of the slow-light propagation and low-threshold all-optical switching.

© 2008 Optical Society of America

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  1. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
    [CrossRef]
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    [CrossRef]
  3. Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
    [CrossRef]
  4. D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
    [CrossRef]
  5. D. D. Smith and H. Chang, "Coherence phenomena in coupled optical resonators," J. Mod. Opt. 51,2503-2513 (2004).
  6. L. Maleki, A. B. Matsko, A. A. Savchenkov, and V.S. Ilchenko, "Tunable delay line with interacting whisperinggallery- mode resonators," Opt. Lett. 29,626-628 (2004).
    [CrossRef]
  7. A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
    [CrossRef]
  8. W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40,1511-1518 (2004).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  11. Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
    [CrossRef]
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  17. S. F. Mingaleev, A. E. Miroshnichenko, and Y. S. Kivshar, "Low-threshold bistability of slow light in photoniccrystal waveguides," Opt. Express 15,12380-12385 (2007).
    [CrossRef]
  18. S. Fan, "Manipulating light with photonic crystals," Physica B 394,221-228 (2007).
    [CrossRef]
  19. S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80,908-910 (2002).
    [CrossRef]
  20. A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
    [CrossRef]
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    [CrossRef]
  22. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis", Opt. Lett. 24,711 (1999).
    [CrossRef]
  23. K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
    [CrossRef]
  24. 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).
  25. Q1. H. Feshbach, "Unified theory of nuclear reactions, I," Ann. Phys. (N.Y.) 5, 357 (1958); "A unified theory of nuclear reactions, II," Ann. Phys. (N.Y.) 19,287 (1962).
    [CrossRef]
  26. F. H. Mies, "Configuration interaction theory: effects of overlapping resonances," Phys. Rev. 175, 164-175 (1968);F. H. Mies, "Resonant scattering theory of association reactions and unimolecular decomposition: I. A united theory of radiative and collisional recombination," J. Chem. Phys. 51,787-797 (1969).
    [CrossRef]
  27. A. I. Magunov, I. Rotter, and S. I. Strakhova, "Fano resonances in the overlapping regime," Phys. Rev. B 68,245305 (2003).
    [CrossRef]
  28. M. Raoult and F. H. Mies, "Feshbach resonance in atomic binary collisions in the wigner threshold law regime," Phys. Rev. A 70,012710 (2004).
    [CrossRef]
  29. L. Y. Mario, S. Darmawan, and M. K. Chin, "Asymmetric Fano resonance and bistability for high extinction ratio, large modulation depth, and low power switching," Opt. Express 14,12770-12781 (2006).
    [CrossRef]
  30. 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]
  31. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
    [CrossRef]
  32. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, "Extremely large group velocity dispersion of line-defect waveguides in photonic crystal slabs," Phys. Rev. Lett. 87,253902 (2001).
    [CrossRef]
  33. R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13,7861-7871 (2005).
    [CrossRef]
  34. S. Assefa, S. J. McNab, and Y. A. Vlasov, "Transmission of slow light through photonic crystal waveguide bends," Opt. Lett. 31,745-747 (2006).
    [CrossRef]
  35. Y. A. Vlasov and S. J. McNab, "Coupling into the slow light mode in slab-type photonic crystal waveguides," Opt. Lett. 31,50-52 (2006).
    [CrossRef]

2007 (2)

2006 (7)

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

S. Assefa, S. J. McNab, and Y. A. Vlasov, "Transmission of slow light through photonic crystal waveguide bends," Opt. Lett. 31,745-747 (2006).
[CrossRef]

Q. Xu, J. Shakya, and M. Lipson, "Direct measurement of tunable optical delays on chip analogue to electromagnetically induced transparency," Opt. Express 14,6463-6468 (2006).
[CrossRef]

L. Y. Mario, S. Darmawan, and M. K. Chin, "Asymmetric Fano resonance and bistability for high extinction ratio, large modulation depth, and low power switching," Opt. Express 14,12770-12781 (2006).
[CrossRef]

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

R. W. Boyd and D. J. Gauthier, "Transparency on an optical chip," Nature 441,701-702 (2006).
[CrossRef]

S. F. Mingaleev, A. E. Miroshnichenko, Y. S. Kivshar, and K. Busch, "All-optical switching, bistability, and slowlight transmission in photonic crystal waveguide-resonator structures," Phys. Rev. E 74,046603 (2006).
[CrossRef]

2005 (6)

A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
[CrossRef]

A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71,043804 (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, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

B. Maes, P. Bienstman, and R. Baets, "Switching in coupled nonlinear photonic-crystal resonators," J. Opt. Soc. Am. B 22,1778-1784 (2005).
[CrossRef]

R. Jacobsen, A. Lavrinenko, L. Frandsen, C. Peucheret, B. Zsigri, G. Moulin, J. Fage-Pedersen, and P. Borel, "Direct experimental and numerical determination of extremely high group indices in photonic crystal waveguides," Opt. Express 13,7861-7871 (2005).
[CrossRef]

2004 (7)

M. Raoult and F. H. Mies, "Feshbach resonance in atomic binary collisions in the wigner threshold law regime," Phys. Rev. A 70,012710 (2004).
[CrossRef]

L. Maleki, A. B. Matsko, A. A. Savchenkov, and V.S. Ilchenko, "Tunable delay line with interacting whisperinggallery- mode resonators," Opt. Lett. 29,626-628 (2004).
[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

D. D. Smith and H. Chang, "Coherence phenomena in coupled optical resonators," J. Mod. Opt. 51,2503-2513 (2004).

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40,1511-1518 (2004).
[CrossRef]

M. F. Yanik and S. Fan, "Stopping light all optically", Phys. Rev. Lett. 92,083901 (2004).
[CrossRef]

2003 (2)

A. I. Magunov, I. Rotter, and S. I. Strakhova, "Fano resonances in the overlapping regime," Phys. Rev. B 68,245305 (2003).
[CrossRef]

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

2002 (1)

S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80,908-910 (2002).
[CrossRef]

2001 (3)

T. Opatrny and D. G. Welsch, "Coupled cavities for enhancing the cross-phase-modulation in electromagnetically induced transparency," Phys. Rev. A 64,23805 (2001).
[CrossRef]

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

2000 (1)

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
[CrossRef]

1999 (2)

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis", Opt. Lett. 24,711 (1999).
[CrossRef]

1997 (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

1968 (1)

F. H. Mies, "Configuration interaction theory: effects of overlapping resonances," Phys. Rev. 175, 164-175 (1968);F. H. Mies, "Resonant scattering theory of association reactions and unimolecular decomposition: I. A united theory of radiative and collisional recombination," J. Chem. Phys. 51,787-797 (1969).
[CrossRef]

F. H. Mies, "Configuration interaction theory: effects of overlapping resonances," Phys. Rev. 175, 164-175 (1968);F. H. Mies, "Resonant scattering theory of association reactions and unimolecular decomposition: I. A united theory of radiative and collisional recombination," J. Chem. Phys. 51,787-797 (1969).
[CrossRef]

1962 (1)

Q1. H. Feshbach, "Unified theory of nuclear reactions, I," Ann. Phys. (N.Y.) 5, 357 (1958); "A unified theory of nuclear reactions, II," Ann. Phys. (N.Y.) 19,287 (1962).
[CrossRef]

Assefa, S.

Baets, R.

Bienstman, P.

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, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Borel, P.

Boyd, R. W.

R. W. Boyd and D. J. Gauthier, "Transparency on an optical chip," Nature 441,701-702 (2006).
[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

Busch, K.

S. F. Mingaleev, A. E. Miroshnichenko, Y. S. Kivshar, and K. Busch, "All-optical switching, bistability, and slowlight transmission in photonic crystal waveguide-resonator structures," Phys. Rev. E 74,046603 (2006).
[CrossRef]

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

Chang, H.

D. D. Smith and H. Chang, "Coherence phenomena in coupled optical resonators," J. Mod. Opt. 51,2503-2513 (2004).

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

Chin, M. K.

Chu, S. T.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Darmawan, S.

Engelen, R. J. P.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Fage-Pedersen, J.

Fan, S.

S. Fan, "Manipulating light with photonic crystals," Physica B 394,221-228 (2007).
[CrossRef]

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

M. F. Yanik and S. Fan, "Stopping light all optically", Phys. Rev. Lett. 92,083901 (2004).
[CrossRef]

W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40,1511-1518 (2004).
[CrossRef]

S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80,908-910 (2002).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

Farca, G.

A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71,043804 (2005).
[CrossRef]

Feshbach, H.

Q1. H. Feshbach, "Unified theory of nuclear reactions, I," Ann. Phys. (N.Y.) 5, 357 (1958); "A unified theory of nuclear reactions, II," Ann. Phys. (N.Y.) 19,287 (1962).
[CrossRef]

Flach, S.

A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
[CrossRef]

Foresi, J.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Frandsen, L.

Fuller, K. A.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

Garcia-Martin, A.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

Gauthier, D. J.

R. W. Boyd and D. J. Gauthier, "Transparency on an optical chip," Nature 441,701-702 (2006).
[CrossRef]

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, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Hamann, H. F.

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

Haus, H. A.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Hermann, D.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

Ilchenko, V. S.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

Ilchenko, V.S.

Jacobsen, R.

Joannopoulos, J. D.

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).

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

Johnson, S. G.

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, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Khan, M. J.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

Kivshar, Y. S.

S. F. Mingaleev, A. E. Miroshnichenko, and Y. S. Kivshar, "Low-threshold bistability of slow light in photoniccrystal waveguides," Opt. Express 15,12380-12385 (2007).
[CrossRef]

S. F. Mingaleev, A. E. Miroshnichenko, Y. S. Kivshar, and K. Busch, "All-optical switching, bistability, and slowlight transmission in photonic crystal waveguide-resonator structures," Phys. Rev. E 74,046603 (2006).
[CrossRef]

A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
[CrossRef]

Korterik, J. P.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Krauss, T. F.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Kuipers, L.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Laine, J.-P.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Lavrinenko, A.

Lee, R. K.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis", Opt. Lett. 24,711 (1999).
[CrossRef]

Li, Y.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
[CrossRef]

Lipson, M.

Q. Xu, J. Shakya, and M. Lipson, "Direct measurement of tunable optical delays on chip analogue to electromagnetically induced transparency," Opt. Express 14,6463-6468 (2006).
[CrossRef]

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

Little, B. E.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

Maes, B.

Magunov, A. I.

A. I. Magunov, I. Rotter, and S. I. Strakhova, "Fano resonances in the overlapping regime," Phys. Rev. B 68,245305 (2003).
[CrossRef]

Maleki, L.

L. Maleki, A. B. Matsko, A. A. Savchenkov, and V.S. Ilchenko, "Tunable delay line with interacting whisperinggallery- mode resonators," Opt. Lett. 29,626-628 (2004).
[CrossRef]

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

Manolatou, C.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

Mario, L. Y.

Matsko, A. B.

L. Maleki, A. B. Matsko, A. A. Savchenkov, and V.S. Ilchenko, "Tunable delay line with interacting whisperinggallery- mode resonators," Opt. Lett. 29,626-628 (2004).
[CrossRef]

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

McNab, S. J.

Mies, F. H.

M. Raoult and F. H. Mies, "Feshbach resonance in atomic binary collisions in the wigner threshold law regime," Phys. Rev. A 70,012710 (2004).
[CrossRef]

F. H. Mies, "Configuration interaction theory: effects of overlapping resonances," Phys. Rev. 175, 164-175 (1968);F. H. Mies, "Resonant scattering theory of association reactions and unimolecular decomposition: I. A united theory of radiative and collisional recombination," J. Chem. Phys. 51,787-797 (1969).
[CrossRef]

F. H. Mies, "Configuration interaction theory: effects of overlapping resonances," Phys. Rev. 175, 164-175 (1968);F. H. Mies, "Resonant scattering theory of association reactions and unimolecular decomposition: I. A united theory of radiative and collisional recombination," J. Chem. Phys. 51,787-797 (1969).
[CrossRef]

Mingaleev, S. F.

S. F. Mingaleev, A. E. Miroshnichenko, and Y. S. Kivshar, "Low-threshold bistability of slow light in photoniccrystal waveguides," Opt. Express 15,12380-12385 (2007).
[CrossRef]

S. F. Mingaleev, A. E. Miroshnichenko, Y. S. Kivshar, and K. Busch, "All-optical switching, bistability, and slowlight transmission in photonic crystal waveguide-resonator structures," Phys. Rev. E 74,046603 (2006).
[CrossRef]

A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
[CrossRef]

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

Miroshnichenko, A. E.

S. F. Mingaleev, A. E. Miroshnichenko, and Y. S. Kivshar, "Low-threshold bistability of slow light in photoniccrystal waveguides," Opt. Express 15,12380-12385 (2007).
[CrossRef]

S. F. Mingaleev, A. E. Miroshnichenko, Y. S. Kivshar, and K. Busch, "All-optical switching, bistability, and slowlight transmission in photonic crystal waveguide-resonator structures," Phys. Rev. E 74,046603 (2006).
[CrossRef]

A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
[CrossRef]

Moulin, G.

Naweed, A.

A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71,043804 (2005).
[CrossRef]

Notomi, M.

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

O??Boyle, M.

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

Opatrny, T.

T. Opatrny and D. G. Welsch, "Coupled cavities for enhancing the cross-phase-modulation in electromagnetically induced transparency," Phys. Rev. A 64,23805 (2001).
[CrossRef]

Peucheret, C.

Povinelli, M. L.

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

Raoult, M.

M. Raoult and F. H. Mies, "Feshbach resonance in atomic binary collisions in the wigner threshold law regime," Phys. Rev. A 70,012710 (2004).
[CrossRef]

Rosenberger, A. T.

A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71,043804 (2005).
[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

Rotter, I.

A. I. Magunov, I. Rotter, and S. I. Strakhova, "Fano resonances in the overlapping regime," Phys. Rev. B 68,245305 (2003).
[CrossRef]

Sandhu, S.

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

Savchenkov, A. A.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

L. Maleki, A. B. Matsko, A. A. Savchenkov, and V.S. Ilchenko, "Tunable delay line with interacting whisperinggallery- mode resonators," Opt. Lett. 29,626-628 (2004).
[CrossRef]

Scherer, A.

Schillinger, M.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

Shakya, J.

Q. Xu, J. Shakya, and M. Lipson, "Direct measurement of tunable optical delays on chip analogue to electromagnetically induced transparency," Opt. Express 14,6463-6468 (2006).
[CrossRef]

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

Shinya, A.

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

Shopova, S. I.

A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71,043804 (2005).
[CrossRef]

Smith, D. D.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

D. D. Smith and H. Chang, "Coherence phenomena in coupled optical resonators," J. Mod. Opt. 51,2503-2513 (2004).

Strakhova, S. I.

A. I. Magunov, I. Rotter, and S. I. Strakhova, "Fano resonances in the overlapping regime," Phys. Rev. B 68,245305 (2003).
[CrossRef]

Strekalov, D.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

Suh, W.

W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40,1511-1518 (2004).
[CrossRef]

Takahashi, C.

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

Takahashi, J.

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

van Hulst, N. F.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

Villeneuve, P. R.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

Vlasov, Y. A.

Wang, Z.

W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40,1511-1518 (2004).
[CrossRef]

Welsch, D. G.

T. Opatrny and D. G. Welsch, "Coupled cavities for enhancing the cross-phase-modulation in electromagnetically induced transparency," Phys. Rev. A 64,23805 (2001).
[CrossRef]

Xu, Q.

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

Q. Xu, J. Shakya, and M. Lipson, "Direct measurement of tunable optical delays on chip analogue to electromagnetically induced transparency," Opt. Express 14,6463-6468 (2006).
[CrossRef]

Xu, Y.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis", Opt. Lett. 24,711 (1999).
[CrossRef]

Yamada, K.

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

Yanik, M. F.

M. F. Yanik and S. Fan, "Stopping light all optically", Phys. Rev. Lett. 92,083901 (2004).
[CrossRef]

Yariv, A.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis", Opt. Lett. 24,711 (1999).
[CrossRef]

Yokohama, I.

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

Zsigri, B.

Ann. Phys. (N.Y.) (1)

Q1. H. Feshbach, "Unified theory of nuclear reactions, I," Ann. Phys. (N.Y.) 5, 357 (1958); "A unified theory of nuclear reactions, II," Ann. Phys. (N.Y.) 19,287 (1962).
[CrossRef]

Appl. Phys. Lett. (1)

S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80,908-910 (2002).
[CrossRef]

IEEE J. Quantum Electron. (1)

W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40,1511-1518 (2004).
[CrossRef]

J. Lightwave Technol. (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998-1005 (1997).
[CrossRef]

J. Mod. Opt. (2)

D. D. Smith and H. Chang, "Coherence phenomena in coupled optical resonators," J. Mod. Opt. 51,2503-2513 (2004).

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko and L. Maleki, "Interference effects in lossy resonator chains," J. Mod. Opt. 51,2515-2522 (2004).
[CrossRef]

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

J. Phys.: Condens. Matter. (1)

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, "Wannier function approach to photonic crystal circuits", J. Phys.: Condens. Matter. 15,R1233-R1256 (2003).
[CrossRef]

Nature (2)

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]

R. W. Boyd and D. J. Gauthier, "Transparency on an optical chip," Nature 441,701-702 (2006).
[CrossRef]

Opt. Express (5)

Opt. Lett. (4)

Phys. Rev. (1)

F. H. Mies, "Configuration interaction theory: effects of overlapping resonances," Phys. Rev. 175, 164-175 (1968);F. H. Mies, "Resonant scattering theory of association reactions and unimolecular decomposition: I. A united theory of radiative and collisional recombination," J. Chem. Phys. 51,787-797 (1969).
[CrossRef]

Phys. Rev. A (4)

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, "Coupled-resonator-induced transparency," Phys. Rev. A 69,063804 (2004).
[CrossRef]

M. Raoult and F. H. Mies, "Feshbach resonance in atomic binary collisions in the wigner threshold law regime," Phys. Rev. A 70,012710 (2004).
[CrossRef]

T. Opatrny and D. G. Welsch, "Coupled cavities for enhancing the cross-phase-modulation in electromagnetically induced transparency," Phys. Rev. A 64,23805 (2001).
[CrossRef]

A. Naweed, G. Farca, S. I. Shopova, and A. T. Rosenberger, "Induced transparency and absorption in coupled whispering-gallery microresonators," Phys. Rev. A 71,043804 (2005).
[CrossRef]

Phys. Rev. B (2)

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59,15882-15892 (1999).
[CrossRef]

A. I. Magunov, I. Rotter, and S. I. Strakhova, "Fano resonances in the overlapping regime," Phys. Rev. B 68,245305 (2003).
[CrossRef]

Phys. Rev. E (3)

S. F. Mingaleev, A. E. Miroshnichenko, Y. S. Kivshar, and K. Busch, "All-optical switching, bistability, and slowlight transmission in photonic crystal waveguide-resonator structures," Phys. Rev. E 74,046603 (2006).
[CrossRef]

A. E. Miroshnichenko, S. F. Mingaleev, S. Flach, and Y. S. Kivshar, "Nonlinear Fano resonance and bistable wave transmission," Phys. Rev. E 71,036626 (2005).
[CrossRef]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, "Scattering-theory analysis of waveguide-resonator coupling," Phys. Rev. E 62,7389-7404 (2000).
[CrossRef]

Phys. Rev. Lett. (4)

Q. Xu, S. Sandhu, M. L. Povinelli, J. Shakya, S. Fan, and M. Lipson, "Experimental realization of an on-chip all-optical analogue to electromagnetically induced transparency," Phys. Rev. Lett. 96,123901 (2006).
[CrossRef]

M. F. Yanik and S. Fan, "Stopping light all optically", Phys. Rev. Lett. 92,083901 (2004).
[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, "Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides," Phys. Rev. Lett. 94,123901 (2005).
[CrossRef]

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

Physica B (1)

S. Fan, "Manipulating light with photonic crystals," Physica B 394,221-228 (2007).
[CrossRef]

Other (1)

J. Pan, S. Sandhu, Y. Huo, M. L. Povinelli, M. M. Fejer, S. Fan, and J. S. Harris, "Optical Analogue to Electromagnetically Induced Transparency in Photonic Crystals, Simulation and Experiments," in Slow and Fast Light, OSA Technical Digest (CD) (Optical Society of America, 2007), paper SWB2. http://www.opticsinfobase.org/abstract.cfm?URI=SL-2007-SWB2

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