Abstract

The dispersion relation in a system of a fiber taper coupled with a microsphere is investigated. On the undercoupling condition, in which the coupling strength between the sphere and the fiber is weak compared with the round-trip loss in the sphere, the system shows anomalous dispersion. On the other hand, on the overcoupling condition, in which the coupling strength is strong compared with the loss, the system shows normal dispersion. We performed pulse propagation experiments and observed both the slow light and the fast light relevant to the normal and anomalous dispersions in the single microsphere–fiber taper system, controlling the coupling strength between the sphere and the fiber. The observed pulse propagation times show good agreement with theoretical calculations based on a directional coupling theory.

© 2006 Optical Society of America

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2006 (2)

2005 (3)

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

A. I. Talukdar, T. Haruta, and M. Tomita, "Measurement of net group and reshaping delays for optical pulses in dispersive media," Phys. Rev. Lett. 94, 223901 (2005).
[CrossRef]

2004 (3)

2003 (4)

P. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, "Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics," Phys. Rev. Lett. 91, 43902 (2003).
[CrossRef]

2002 (1)

S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Measurement of superluminal optical tunneling times in double-barrier photonic band gaps," Phys. Rev. E 65, 46610 (2002).
[CrossRef]

2001 (4)

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]

M. A. I. Talukder, Y. Amagishi, and M. Tomita, "Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium," Phys. Rev. Lett. 86, 3546-3549 (2001).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (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, 490-493 (2001).
[CrossRef] [PubMed]

2000 (2)

L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation," Nature 406, 277-279 (2000).
[CrossRef] [PubMed]

M. Cai, O. Painter, and K. J. Vahala, "Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system," Phys. Rev. Lett. 85, 74-77 (2000).
[CrossRef] [PubMed]

1999 (1)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature 397, 594-598 (1999).
[CrossRef]

1997 (2)

1993 (2)

A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993).
[CrossRef] [PubMed]

S. Schiller, "Asymptotic expansion of morphological resonance frequencies in Mie scattering," Appl. Opt. 32, 2181-2185 (1993).
[CrossRef] [PubMed]

1982 (1)

Agarwal, G. S.

Amagishi, Y.

M. A. I. Talukder, Y. Amagishi, and M. Tomita, "Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium," Phys. Rev. Lett. 86, 3546-3549 (2001).
[CrossRef] [PubMed]

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, 490-493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature 397, 594-598 (1999).
[CrossRef]

Belmonte, M.

S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Measurement of superluminal optical tunneling times in double-barrier photonic band gaps," Phys. Rev. E 65, 46610 (2002).
[CrossRef]

Biancalana, F.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

Birks, T. A.

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Cai, M.

M. Cai, O. Painter, and K. J. Vahala, "Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system," Phys. Rev. Lett. 85, 74-77 (2000).
[CrossRef] [PubMed]

Cheung, G.

Chiao, R. Y.

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993).
[CrossRef] [PubMed]

Chodorow, M.

Demtroder, W.

W. Demtroder, Laser Spectroscopy (Springer-Verlag, 2002).

DeRose, G. A.

Dogariu, A.

L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation," Nature 406, 277-279 (2000).
[CrossRef] [PubMed]

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, 490-493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature 397, 594-598 (1999).
[CrossRef]

Efimov, A.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

Gupta, S. D.

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-Gonogami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

Hare, J.

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

Haroche, S.

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature 397, 594-598 (1999).
[CrossRef]

S. E. Harris, "Electromagnetically induced transparency," Phys. Today 50, 36-42 (1997).
[CrossRef]

Haruta, T.

A. I. Talukdar, T. Haruta, and M. Tomita, "Measurement of net group and reshaping delays for optical pulses in dispersive media," Phys. Rev. Lett. 94, 223901 (2005).
[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, 490-493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature 397, 594-598 (1999).
[CrossRef]

Hickmann, J. M.

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Ilchenko, V. S.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, "Kilohertz optical resonances in dielectric crystal cavities," Phys. Rev. A 70, 051804R (2004).
[CrossRef]

Jacques, F.

Kippenberg, T. J.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, "Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics," Phys. Rev. Lett. 91, 43902 (2003).
[CrossRef]

Knight, J. C.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

J. C. Knight, G. Cheung, F. Jacques, and T. A. Birks, "Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper," Opt. Lett. 22, 1129-1131 (1997).
[CrossRef] [PubMed]

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

Kuwata-Gonogami, M.

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

Kuzmich, A.

L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation," Nature 406, 277-279 (2000).
[CrossRef] [PubMed]

Kwiat, P. G.

A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993).
[CrossRef] [PubMed]

Laporta, P.

S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Measurement of superluminal optical tunneling times in double-barrier photonic band gaps," Phys. Rev. E 65, 46610 (2002).
[CrossRef]

Lefèvre-Seguin, V.

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

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, 490-493 (2001).
[CrossRef] [PubMed]

Longhi, S.

S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Measurement of superluminal optical tunneling times in double-barrier photonic band gaps," Phys. Rev. E 65, 46610 (2002).
[CrossRef]

Lukin, M. D.

D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

Mair, M.

D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

Maleki, L.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, "Kilohertz optical resonances in dielectric crystal cavities," Phys. Rev. A 70, 051804R (2004).
[CrossRef]

Matsko, A. B.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, "Kilohertz optical resonances in dielectric crystal cavities," Phys. Rev. A 70, 051804R (2004).
[CrossRef]

McCormick, C. F.

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

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]

Morehead, J. J.

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

Mukaiyama, T.

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

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]

Okamoto, K.

K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

Omenetto, F. G.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

Painter, O.

M. Cai, O. Painter, and K. J. Vahala, "Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system," Phys. Rev. Lett. 85, 74-77 (2000).
[CrossRef] [PubMed]

Painter, O. J.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, "Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics," Phys. Rev. Lett. 91, 43902 (2003).
[CrossRef]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

Poon, J. K. S.

Raimond, J.-M.

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

Rao, V. S. C. M.

Recami, E.

S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Measurement of superluminal optical tunneling times in double-barrier photonic band gaps," Phys. Rev. E 65, 46610 (2002).
[CrossRef]

Reeves, W. H.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

Ropers, C.

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

Russell, P.

P. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

Russell, P. St. J.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

Sandoghdar, V.

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

Savchenkov, A. A.

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[CrossRef]

Schiller, S.

Schwelb, O.

Shaw, H. J.

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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]

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W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

Solli, D. R.

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[CrossRef] [PubMed]

Spillane, S. M.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, "Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics," Phys. Rev. Lett. 91, 43902 (2003).
[CrossRef]

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A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993).
[CrossRef] [PubMed]

Stokes, L. F.

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-Gonogami, "Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres," Phys. Rev. Lett. 94, 203905 (2005).
[CrossRef] [PubMed]

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A. I. Talukdar, T. Haruta, and M. Tomita, "Measurement of net group and reshaping delays for optical pulses in dispersive media," Phys. Rev. Lett. 94, 223901 (2005).
[CrossRef]

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M. A. I. Talukder, Y. Amagishi, and M. Tomita, "Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium," Phys. Rev. Lett. 86, 3546-3549 (2001).
[CrossRef] [PubMed]

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W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

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K. Totsuka and M. Tomita, "Observation of fast light in Mie scattering processes," Phys. Rev. E 73, 045602(R) (2006).
[CrossRef]

A. I. Talukdar, T. Haruta, and M. Tomita, "Measurement of net group and reshaping delays for optical pulses in dispersive media," Phys. Rev. Lett. 94, 223901 (2005).
[CrossRef]

M. A. I. Talukder, Y. Amagishi, and M. Tomita, "Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium," Phys. Rev. Lett. 86, 3546-3549 (2001).
[CrossRef] [PubMed]

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K. Totsuka and M. Tomita, "Observation of fast light in Mie scattering processes," Phys. Rev. E 73, 045602(R) (2006).
[CrossRef]

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S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, "Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics," Phys. Rev. Lett. 91, 43902 (2003).
[CrossRef]

M. Cai, O. Painter, and K. J. Vahala, "Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system," Phys. Rev. Lett. 85, 74-77 (2000).
[CrossRef] [PubMed]

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D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

Wang, L. J.

L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation," Nature 406, 277-279 (2000).
[CrossRef] [PubMed]

Weiss, D. S.

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

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]

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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]

Zhu, L.

Appl. Opt. (1)

J. Lightwave Technol. (1)

Nature (5)

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P., St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas," Nature 397, 594-598 (1999).
[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] [PubMed]

L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation," Nature 406, 277-279 (2000).
[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, 490-493 (2001).
[CrossRef] [PubMed]

Opt. Lett. (4)

Phys. Rev. A (1)

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, "Kilohertz optical resonances in dielectric crystal cavities," Phys. Rev. A 70, 051804R (2004).
[CrossRef]

Phys. Rev. E (2)

S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Measurement of superluminal optical tunneling times in double-barrier photonic band gaps," Phys. Rev. E 65, 46610 (2002).
[CrossRef]

K. Totsuka and M. Tomita, "Observation of fast light in Mie scattering processes," Phys. Rev. E 73, 045602(R) (2006).
[CrossRef]

Phys. Rev. Lett. (9)

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

D. F. Phillips, A. Fleischhauer, M. Mair, R. L. Walsworth, and M. D. Lukin, "Storage of light in atomic vapor," Phys. Rev. Lett. 86, 783-786 (2001).
[CrossRef] [PubMed]

A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993).
[CrossRef] [PubMed]

D. R. Solli, C. F. McCormick, C. Ropers, J. J. Morehead, R. Y. Chiao, and J. M. Hickmann, "Demonstration of superluminal effects in an absorptionless, nonreflective system," Phys. Rev. Lett. 91, 143906 (2003).
[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, 253902 (2001).
[CrossRef] [PubMed]

M. A. I. Talukder, Y. Amagishi, and M. Tomita, "Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium," Phys. Rev. Lett. 86, 3546-3549 (2001).
[CrossRef] [PubMed]

M. Cai, O. Painter, and K. J. Vahala, "Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system," Phys. Rev. Lett. 85, 74-77 (2000).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, "Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics," Phys. Rev. Lett. 91, 43902 (2003).
[CrossRef]

A. I. Talukdar, T. Haruta, and M. Tomita, "Measurement of net group and reshaping delays for optical pulses in dispersive media," Phys. Rev. Lett. 94, 223901 (2005).
[CrossRef]

Phys. Today (1)

S. E. Harris, "Electromagnetically induced transparency," Phys. Today 50, 36-42 (1997).
[CrossRef]

Science (1)

P. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

Other (4)

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C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

V. Lefèvre-Seguin, J. C. Knight, V. Sandoghdar, D. S. Weiss, J. Hare, J.-M. Raimond, and S. Haroche, "Very high Q whispering-gallery modes in silica microspheres for cavity-QED experiments," in Optical Processes in Microcavities, R.K.Chang and A.J.Campillo, eds. (World Scientific, l996), pp. 101-133.

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Figures (5)

Fig. 1
Fig. 1

Schematic illustration of the waist region of the fiber taper coupled with a microsphere.

Fig. 2
Fig. 2

(a) The transmission intensity and (b) the transmitted phase shift as a function of the frequency detuning on the undercoupling condition. The loss parameter is set as x = 0.999908 for all calculations. The dotted, dashed, and solid curves are the calculation results for the coupling parameters y = 0.99999 , 0.99996, and 0.999908, respectively. The resonance dip becomes deeper as the coupling parameter is decreased. The negative phase slope becomes steeper as the coupling parameter y is decreased toward the value x. At the critical coupling condition, where x = y , the phase jumps from π 2 to π 2 at the center frequency. (c) The transmission intensity and (d) the transmitted phase shift on the overcoupling condition. The dotted, dashed, and solid curves are the calculation results for parameters y = 0.9998 , 0.9996, and 0.9994, respectively. The resonance dip becomes shallower, and the slope of the phase curve at the resonance center becomes gentler as the coupling parameter is decreased.

Fig. 3
Fig. 3

(a) The transmission intensity and (b) the transmitted phase shift as a function of the frequency detuning when the sphere has gain. The parameter is set as x = 1.0001 for all calculations. The dotted, dashed, and solid curves are the calculation results for the coupling parameters y = 0.9996 , 0.9997, and 0.9998, respectively. The transmission intensity becomes larger, and the slope of the phase curve becomes steeper as the coupling parameter is increased toward the condition x y = 1 .

Fig. 4
Fig. 4

(Inset) Experimental results of the transmission intensity as a function of the laser frequency for gap distances of 300, 233, 167, 100, and 33 nm . The transmission intensity at the center frequency decreases as the gap distance is decreased to 100 nm and then starts to increase as the gap distance is further decreased. (a) Experimental results of the resonance linewidth (solid circles) and the T min T max (open squares) as a function of the gap distance. The two solid curves are guides to the eye. (b) The loss parameter (solid circles) x and the coupling strength (open squares) κ as a function of the gap distance are calculated from the resonance linewidths and the T min T max . The solid line is the exponential fitting for the coupling strength.

Fig. 5
Fig. 5

(a) Experimental results of the transmitted pulse profiles on the undercoupling (dashed curve) and the overcoupling (dotted curve) conditions, respectively. The solid curve is the transmitted pulse profile at the off-resonance frequency. (b) Frequency dependence of the pulse peak delay time on the undercoupling (solid circles) and on the overcoupling (open squares) conditions, respectively. Solid curves are the theoretically calculated pulse delay time. These curves are calculated for x = 0.999908 and y = 0.99996 (undercoupling) and for x = 0.999908 and y = 0.99983 (overcoupling). The vertical and horizontal lines are experimental errors in the time delay and frequency, respectively.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

A = ( 1 γ ) 1 2 [ A 0 cos ( κ ) i B 0 sin ( κ ) ] ,
B = ( 1 γ ) 1 2 [ i A 0 sin ( κ ) + B 0 cos ( κ ) ] ,
A ( ω ) A 0 ( ω ) = ( 1 γ ) 1 2 [ y x exp ( i ϕ ) 1 x y exp ( i ϕ ) ] = T ( ω ) exp [ i θ ( ω ) ] ,
θ ( ω ) = arctan { x sin [ ϕ ( ω ) ] ( y 2 1 ) x cos [ ϕ ( ω ) ] ( 1 + y 2 ) + y ( 1 + x 2 ) } .

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