Abstract

Sequences of coupled-resonator optical waveguides (CROWs) have been examined as slow-wave structures. The formation of photonic bands in finite systems is studied in the frame of a coupled oscillator model. Several types of resonator size tuning in the system are evaluated in a systematical manner. We show that aperiodicities in sequences of coupled microspheres provide an additional degree of freedom for the design of photonic bands.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional Photonic Crystals," Phys. Rev. Lett. 84, 2140-2143 (2000).
    [CrossRef] [PubMed]
  4. V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
    [CrossRef]
  5. S. V. Pishko, P. D. Sewell, T. M. Benson, and S. V. Boriskina, "Efficient analysis and design of low-loss whispering-gallery-mode coupled resonator optical waveguide bends," J. Lightwave Technol. 25, 2487-2494 (2007).
    [CrossRef]
  6. B. M. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Photonic molecules doped with semiconductor nanocrystals," Phys. Rev. B 70, 115323 (2004).
    [CrossRef]
  7. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Q factor and emission pattern control of the WG modes in notched microdisk resonators," IEEE J. Sel. Top. Quantum Electron. 12, 52-58 (2006).
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    [CrossRef]
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    [CrossRef] [PubMed]
  22. Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
    [CrossRef] [PubMed]
  23. A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
    [CrossRef]
  24. S. Deng, W. Cai, and V. N. Astratov, "Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides," Opt. Express 12, 6468-6480 (2004).
    [CrossRef] [PubMed]
  25. J. E. Heebner, R. W. Boyd, and Q.-H. Park, "Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonator-array waveguide," Phys. Rev. E 65, 036619 (2002).
    [CrossRef]
  26. J. K. S. Poon, J. Scheuer, S. Mookherjea, G. T. Paloczi, Y. Huang, and A. Yariv, "Matrix analysis of microring coupled-resonator optical waveguides," Opt. Express 12, 90-103 (2004).
    [CrossRef] [PubMed]
  27. B. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
    [CrossRef]
  28. U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
    [CrossRef]
  29. B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
    [CrossRef]
  30. B. Möller, U. Woggon, and M. V. Artemyev, "Photons in coupled microsphere resonators," J. Opt. A: Pure Appl. Opt. 8,S113-S121 (2006).
    [CrossRef]
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    [CrossRef]
  32. Y. Chen and S. Blair, "Nonlinearity enhancement in finite coupled-resonator slow-light waveguides," Opt. Express 12, 3353-3366 (2004).
    [CrossRef] [PubMed]
  33. A. Martínez, A. García, P. Sanchis, and J. Martí, "Group velocity and dispersion model of coupled-cavity waveguides in photonic crystals," J. Opt. Soc. Am. A 20, 147-150 (2003).
    [CrossRef]
  34. D. Mori and T. Baba, "Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide," Opt. Express 13, 9398-9408 (2005).
    [CrossRef] [PubMed]
  35. A. Melloni, R. Costa, P. Monguzzi, and M. Martinelli, "Ring-resonator filters in silicon oxynitride technology for dense wavelength-division multiplexing systems," Opt. Lett. 28, 1567-1569 (2003).
    [CrossRef] [PubMed]
  36. V. Yannopapas, A. Modinos, and N. Stefanou, "Waveguides of defect chains in photonic crystals," Phys. Rev. B 65, 235201 (2002).
    [CrossRef]
  37. K. Guven and E. Ozbay, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085108 (2005).
    [CrossRef]
  38. T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
    [CrossRef]
  39. A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
    [CrossRef]
  40. Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
    [CrossRef]
  41. S. V. Boriskina, "Coupling of whispering-gallery modes in size-mismatched microdisk photonic molecules," Opt. Lett. 32, 1557-1559 (2007).
    [CrossRef] [PubMed]

2007 (5)

S. V. Pishko, P. D. Sewell, T. M. Benson, and S. V. Boriskina, "Efficient analysis and design of low-loss whispering-gallery-mode coupled resonator optical waveguide bends," J. Lightwave Technol. 25, 2487-2494 (2007).
[CrossRef]

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

B. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
[CrossRef]

T. Kalamakis, "Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains," IEEE J. Quantum Electron 41, 1419-1425 (2007).
[CrossRef]

S. V. Boriskina, "Coupling of whispering-gallery modes in size-mismatched microdisk photonic molecules," Opt. Lett. 32, 1557-1559 (2007).
[CrossRef] [PubMed]

2006 (8)

B. Möller, U. Woggon, and M. V. Artemyev, "Photons in coupled microsphere resonators," J. Opt. A: Pure Appl. Opt. 8,S113-S121 (2006).
[CrossRef]

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

S. Darmawan and M. K. Chin, "Critical coupling, oscillation, reflection, and transmission in optical waveguidering resonator systems," J. Opt. Soc. Am. B 23, 834-841 (2006).
[CrossRef]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, "Transmission and group delay of microring coupled-resonator optical waveguides," Opt. Lett. 31, 456-458 (2006).
[CrossRef] [PubMed]

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

S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Q factor and emission pattern control of the WG modes in notched microdisk resonators," IEEE J. Sel. Top. Quantum Electron. 12, 52-58 (2006).
[CrossRef]

2005 (8)

H. Altug and J. Vučković, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett. 86, 111102 (2005).
[CrossRef]

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

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

B. M. Möller, U. Woggon, and M. V. Artemyev, "Coupled-resonator optical waveguides doped with nanocrystals," Opt. Lett. 30, 2116-2118 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

K. Guven and E. Ozbay, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085108 (2005).
[CrossRef]

D. Mori and T. Baba, "Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide," Opt. Express 13, 9398-9408 (2005).
[CrossRef] [PubMed]

2004 (5)

2003 (5)

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
[CrossRef]

A. Martínez, A. García, P. Sanchis, and J. Martí, "Group velocity and dispersion model of coupled-cavity waveguides in photonic crystals," J. Opt. Soc. Am. A 20, 147-150 (2003).
[CrossRef]

A. Melloni, R. Costa, P. Monguzzi, and M. Martinelli, "Ring-resonator filters in silicon oxynitride technology for dense wavelength-division multiplexing systems," Opt. Lett. 28, 1567-1569 (2003).
[CrossRef] [PubMed]

2002 (3)

V. Yannopapas, A. Modinos, and N. Stefanou, "Waveguides of defect chains in photonic crystals," Phys. Rev. B 65, 235201 (2002).
[CrossRef]

J. E. Heebner, R. W. Boyd, and Q.-H. Park, "Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonator-array waveguide," Phys. Rev. E 65, 036619 (2002).
[CrossRef]

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

2001 (2)

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] [PubMed]

S. Olivier, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdré, and U. Oesterle, "Miniband transmission in a photonic crystal coupled-resonator optical waveguide," Opt. Lett. 26, 1019-1021 (2001).
[CrossRef]

2000 (1)

M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional Photonic Crystals," Phys. Rev. Lett. 84, 2140-2143 (2000).
[CrossRef] [PubMed]

1999 (2)

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
[CrossRef]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, M. Kuwata-Gonokami, "Tight-Binding Photonic Molecule Modes of Resonant Bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

1998 (1)

N. Stefanou, and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

Altug, H.

H. Altug and J. Vučković, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett. 86, 111102 (2005).
[CrossRef]

Anikeyev, V.

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

Artemyev, M. V.

B. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
[CrossRef]

B. Möller, U. Woggon, and M. V. Artemyev, "Photons in coupled microsphere resonators," J. Opt. A: Pure Appl. Opt. 8,S113-S121 (2006).
[CrossRef]

B. M. Möller, U. Woggon, and M. V. Artemyev, "Coupled-resonator optical waveguides doped with nanocrystals," Opt. Lett. 30, 2116-2118 (2005).
[CrossRef] [PubMed]

B. M. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Photonic molecules doped with semiconductor nanocrystals," Phys. Rev. B 70, 115323 (2004).
[CrossRef]

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
[CrossRef]

Asakawa, K.

Astratov, V. N.

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

S. Deng, W. Cai, and V. N. Astratov, "Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides," Opt. Express 12, 6468-6480 (2004).
[CrossRef] [PubMed]

Baba, T.

Bayer, M.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Bayindir, M.

M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional Photonic Crystals," Phys. Rev. Lett. 84, 2140-2143 (2000).
[CrossRef] [PubMed]

Belardini, A.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Benisty, H.

Benson, T. M.

S. V. Pishko, P. D. Sewell, T. M. Benson, and S. V. Boriskina, "Efficient analysis and design of low-loss whispering-gallery-mode coupled resonator optical waveguide bends," J. Lightwave Technol. 25, 2487-2494 (2007).
[CrossRef]

S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Q factor and emission pattern control of the WG modes in notched microdisk resonators," IEEE J. Sel. Top. Quantum Electron. 12, 52-58 (2006).
[CrossRef]

Bertolotti, M.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Blair, S.

Boriskina, S. V.

Bosco, A.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Boyd, R. W.

J. E. Heebner, R. W. Boyd, and Q.-H. Park, "Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonator-array waveguide," Phys. Rev. E 65, 036619 (2002).
[CrossRef]

Busch, K.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Cai, W.

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

S. Deng, W. Cai, and V. N. Astratov, "Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides," Opt. Express 12, 6468-6480 (2004).
[CrossRef] [PubMed]

Centini, M.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Chen, Y.

Chin, M. K.

Christ, A.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

Costa, R.

Darmawan, S.

Deng, S.

DeRose, G. A.

Engelen, R. J. P.

Fan, S.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Fazio, E.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Forchel, A.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Gaponenko, S. V.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

García, A.

Gershoni, D.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Giessen, H.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

Gippius, N. A.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

Gösele, U.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Guven, K.

K. Guven and E. Ozbay, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085108 (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] [PubMed]

Hara, Y.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

Heebner, J. E.

J. E. Heebner, R. W. Boyd, and Q.-H. Park, "Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonator-array waveguide," Phys. Rev. E 65, 036619 (2002).
[CrossRef]

Hillebrand, R.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Houdré, R.

Huang, Y.

Ikeda, N.

Jamois, C.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Jiao, Y.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Jimba, Y.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, M. Kuwata-Gonokami, "Tight-Binding Photonic Molecule Modes of Resonant Bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Joannopoulos, J. D.

Johnson, S. G.

Kalamakis, T.

T. Kalamakis, "Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains," IEEE J. Quantum Electron 41, 1419-1425 (2007).
[CrossRef]

Kanaev, A. V.

A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
[CrossRef]

Knipp, P. A.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Korterik, J. P.

Krauss, T.

Kuhl, J.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

Kuipers, L.

Kuwata-Gonokami, M.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, M. Kuwata-Gonokami, "Tight-Binding Photonic Molecule Modes of Resonant Bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Leahu, G.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Lee, R. K.

LeThomas, N.

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

Martí, J.

Martinelli, M.

Martínez, A.

McNab, S. J.

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

Melloni, A.

Miller, D. A. B.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Mingaleev, S. F.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Miyazaki, H.

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, M. Kuwata-Gonokami, "Tight-Binding Photonic Molecule Modes of Resonant Bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Modinos, A.

V. Yannopapas, A. Modinos, and N. Stefanou, "Waveguides of defect chains in photonic crystals," Phys. Rev. B 65, 235201 (2002).
[CrossRef]

N. Stefanou, and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

Möller, B.

B. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
[CrossRef]

B. Möller, U. Woggon, and M. V. Artemyev, "Photons in coupled microsphere resonators," J. Opt. A: Pure Appl. Opt. 8,S113-S121 (2006).
[CrossRef]

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
[CrossRef]

Möller, B. M.

B. M. Möller, U. Woggon, and M. V. Artemyev, "Coupled-resonator optical waveguides doped with nanocrystals," Opt. Lett. 30, 2116-2118 (2005).
[CrossRef] [PubMed]

B. M. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Photonic molecules doped with semiconductor nanocrystals," Phys. Rev. B 70, 115323 (2004).
[CrossRef]

Monguzzi, P.

Mookherjea, S.

Mori, D.

Mukaiyama, T.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, M. Kuwata-Gonokami, "Tight-Binding Photonic Molecule Modes of Resonant Bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Nau, D.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

Nosich, A. I.

S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Q factor and emission pattern control of the WG modes in notched microdisk resonators," IEEE J. Sel. Top. Quantum Electron. 12, 52-58 (2006).
[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] [PubMed]

O’Boyle, M.

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

Oesterle, U.

Olivier, S.

Ozbay, E.

K. Guven and E. Ozbay, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085108 (2005).
[CrossRef]

M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional Photonic Crystals," Phys. Rev. Lett. 84, 2140-2143 (2000).
[CrossRef] [PubMed]

Paloczi, G. T.

Park, Q.-H.

J. E. Heebner, R. W. Boyd, and Q.-H. Park, "Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonator-array waveguide," Phys. Rev. E 65, 036619 (2002).
[CrossRef]

Pishko, S. V.

Poon, J. K. S.

Povinelli, M. L.

Rattier, M.

Regelman, D. V.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Reinecke, T. L.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Reithmaier, J. P.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Richter, S.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Sanchis, P.

Scherer, A.

Scheuer, J.

Schillinger, M.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Schöps, O.

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

Schweizer, S. L.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Sekaric, L.

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

Sewell, P.

S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Q factor and emission pattern control of the WG modes in notched microdisk resonators," IEEE J. Sel. Top. Quantum Electron. 12, 52-58 (2006).
[CrossRef]

Sewell, P. D.

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] [PubMed]

Sibilia, C.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Smith, C.

Stefanou, N.

V. Yannopapas, A. Modinos, and N. Stefanou, "Waveguides of defect chains in photonic crystals," Phys. Rev. B 65, 235201 (2002).
[CrossRef]

N. Stefanou, and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

Sugimoto, Y.

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

Takeda, K.

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Y. Hara, T. Mukaiyama, K. Takeda, and M. Kuwata-Gonokami, "Photonic molecule lasing," Opt. Lett. 28, 2437-2439 (2003).
[CrossRef] [PubMed]

T. Mukaiyama, K. Takeda, H. Miyazaki, Y. Jimba, M. Kuwata-Gonokami, "Tight-Binding Photonic Molecule Modes of Resonant Bispheres," Phys. Rev. Lett. 82, 4623-4626 (1999).
[CrossRef]

Temelkuran, B.

M. Bayindir, B. Temelkuran, and E. Ozbay, "Tight-binding description of the coupled defect modes in three-dimensional Photonic Crystals," Phys. Rev. Lett. 84, 2140-2143 (2000).
[CrossRef] [PubMed]

Tikhodeev, S. G.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

van Hulst, N. F.

Vlasov, Y.

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

Vlasov, Y. A.

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

Vuckovic, J.

H. Altug and J. Vučković, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett. 86, 111102 (2005).
[CrossRef]

Wanatabe, Y.

Wannemacher, R.

B. M. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Photonic molecules doped with semiconductor nanocrystals," Phys. Rev. B 70, 115323 (2004).
[CrossRef]

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
[CrossRef]

Wehrspohn, R. B.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Weisbuch, C.

Woggon, U.

B. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
[CrossRef]

B. Möller, U. Woggon, and M. V. Artemyev, "Photons in coupled microsphere resonators," J. Opt. A: Pure Appl. Opt. 8,S113-S121 (2006).
[CrossRef]

B. M. Möller, U. Woggon, and M. V. Artemyev, "Coupled-resonator optical waveguides doped with nanocrystals," Opt. Lett. 30, 2116-2118 (2005).
[CrossRef] [PubMed]

B. M. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Photonic molecules doped with semiconductor nanocrystals," Phys. Rev. B 70, 115323 (2004).
[CrossRef]

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
[CrossRef]

Xia, F.

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

Xu, Y.

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] [PubMed]

Yannopapas, V.

V. Yannopapas, A. Modinos, and N. Stefanou, "Waveguides of defect chains in photonic crystals," Phys. Rev. B 65, 235201 (2002).
[CrossRef]

Yariv, A.

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] [PubMed]

Zacharias, M.

S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
[CrossRef]

Zentgraf, T.

T. Zentgraf, A. Christ, J. Kuhl, N. A. Gippius, S. G. Tikhodeev, D. Nau, H. Giessen, "Metallodielectric photonic crystal superlattices: Influence of periodic defects on transmission properties," Phys. Rev. B 73, 115103 (2006).
[CrossRef]

Zhu, L.

Zhuk, V.

V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
[CrossRef]

Zhukovsky, S.

A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
[CrossRef]

Appl. Phys. B (1)

U. Woggon, R. Wannemacher, M. V. Artemyev, B. Möller, N. LeThomas, V. Anikeyev, O. Schöps, "Dot-in-a-dot: electronic and photonic confinement in all three dimensions," Appl. Phys. B 77, 469-484 (2003).
[CrossRef]

Appl. Phys. Lett. (4)

B. Möller, U. Woggon, M. V. Artemyev, and R. Wannemacher, "Mode control by nanoengineering light emitters in spherical microcavities," Appl. Phys. Lett. 83, 2686-2688 (2003).
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A. V. Kanaev, V. N. Astratov, and W. Cai, "Optical coupling at a distance between detuned spherical cavities," Appl. Phys. Lett. 88, 111111 (2006).
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H. Altug and J. Vučković, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett. 86, 111102 (2005).
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A. Belardini, A. Bosco, G. Leahu, M. Centini, E. Fazio, C. Sibilia, M. Bertolotti, S. Zhukovsky, and S. V. Gaponenko, "Femtosecond pulses chirping compensation by using one-dimensional compact multiple-defect photonic crystals," Appl. Phys. Lett. 89, 031111 (2006).
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IEEE J. Quantum Electron (1)

T. Kalamakis, "Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains," IEEE J. Quantum Electron 41, 1419-1425 (2007).
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S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, "Q factor and emission pattern control of the WG modes in notched microdisk resonators," IEEE J. Sel. Top. Quantum Electron. 12, 52-58 (2006).
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Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photon. Technol. Lett. 17, 1875-1877 (2005).
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B. Möller, U. Woggon, and M. V. Artemyev, "Photons in coupled microsphere resonators," J. Opt. A: Pure Appl. Opt. 8,S113-S121 (2006).
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Nature (1)

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005).
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S. Richter, R. Hillebrand, C. Jamois, M. Zacharias, U. Gösele, S. L. Schweizer, and R. B. Wehrspohn, "Periodically arranged point defects in two-dimensional photonic crystals," Phys. Rev. B 70, 193302 (2004).
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V. Zhuk, D. V. Regelman, D. Gershoni, M. Bayer, J. P. Reithmaier, A. Forchel, P. A. Knipp, and T. L. Reinecke, "Nearfield mapping of the electromagnetic field in confined photon geometries," Phys. Rev. B 66, 115302 (2002).
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B. Möller, U. Woggon, and M. V. Artemyev, "Bloch modes and disorder phenomena in coupled resonator chains," Phys. Rev. B 75, 245327 (2007).
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Y. P. Rakovich, J. F. Donegan, M. Gerlach, A. L. Bradley, T. M. Connolly, J. J. Boland, N. Gaponik, and A. Rogach, "Fine structure of coupled optical modes in photonic molecules," Phys. Rev. A 70, 051801(R) (2004).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

Scheme of Coupled-Resonator Spectra for different ratios of the coupling constant and the resonance linewidths. The schemes display the light intensity versus frequency given in units of the coupling constant κ times the individual resonator frequency Ω. For the top spectrum, the ratio is chosen as 1. Only a single resonance peak can be observed and any coherent coupling effects are washed out. The uppermost but one spectrum is evaluated for a ratio of 2, hence a Bloch-mode splitting is observable only for the center of the band, in which coherent coupling leads to sufficiently distanced resonances. The two bottom spectra are modelled for ratios of 5 and 10, respectively. Here, coherent coupling effects dominate the spectrum, resulting in clearly resolvable individual Bloch modes.

Fig. 2.
Fig. 2.

Parameter choices and trade-offs for coupled-resonator optical waveguides evaluated for a fixed slowing factor of S=31 and S=22.9, respectively after Eq. 2. For a fixed wavelength λ=600 nm, the cavity radius and the coupling constant are related by a straight line in a double-logarithmic plot. The experimentally found value is indicated with a filled circle in the plot. If in turn the resonator radius is fixed, a similar trade-off dependence is found for the wavelength of the guided light and the coupling constant. Example values taken from Refs. [10] and [27] are marked in the plot as a filled circles.

Fig. 3.
Fig. 3.

Spectral influence of resonator size detuning in a chain of six coherently coupled resonators, modelled after equation 4. The diagrams display the collective CROW frequencies versus the frequency of the size tuned resonators. All frequencies are normalized to the frequency of the undetuned resonator. The coupling constant has been chosen as κ=0.003 as an example value, for which the assumption of weakly coupled resonators remains still valid. For different coupling constants, the splittings would accordingly scale. In the uppermost diagram, the first resonator is tuned in size as indicated by the dashed diagonal line. Horizontal lines denote the spectral positions of Bloch resonances calculated for a five-resonator chain. In the middle diagram, the second resonator is tuned in size as indicated by the dashed diagonal. Horizontal dashed lines now indicate the Bloch resonances of a four-resonator configuration. For the bottom diagram, the size-tuning is evaluated for tuning the third resonator’s size in the six-resonator chain. The horizontally plotted dashed lines mark the Bloch resonances for a three-resonator CROW and a two-resonator CROW.

Fig. 4.
Fig. 4.

Influence of size-tuning on the spectrum of a chain of six resonators, if all six resonators are subject of size tuning. The diagrams display the collective CROW frequencies versus the frequency of the resonators of one size-tuned three-resonator subset. All frequencies are normalized to the average frequency of the CROW. The coupling constant has been chosen as κ=0.003. Assumed are identical sizes for the first three and last three resonators, respectively and opposite values of the detuning. The dashed diagonal lines denote the corresponding Bloch frequencies for coherently coupled three-resonator CROWs.

Equations (5)

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E k c ( r , t ) = E 0 exp ι ω k c t n exp ι n k c R E Ω ( r n R e z ) ,
4 π S = λ κ · R .
( 1 κ 0 0 κ 1 κ 0 0 κ 1 κ 0 0 κ 1 ) · Ψ = ω k c i 2 Ω 2 Ψ .
( Ω 1 2 Ω 1 2 + Ω 2 2 2 · κ 0 . . Ω 1 2 + Ω 2 2 2 · κ Ω 2 2 Ω 2 2 + Ω 3 2 2 · κ 0 0 Ω n 1 2 + Ω n 2 2 · κ Ω n 2 ) . Ψ perturbed
= ω k i 2 Ψ perturbed .

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