Abstract

The group velocity v<sub><i>g</i></sub> of light in two-port ring-resonator (TPRR) circuits with loss is theoretically studied. We point out four possible operation regimes, i.e., “slow” light with positive v<sub><i>g</i></sub>, “slow” light with negative v<sub><i>g</i></sub>, “fast” light with negative v<sub><i>g</i></sub>, and “fast” light with positive v<sub><i>g</i></sub>, where “slow” means │v<sub><i>g</i></sub>│< <i>c</i> and “fast” means │v<sub><i>g</i></sub>│> <i>c</i>, with <i>c</i> denoting the velocity of light in vacuum. The temporal behavior of pulses passing through the TPRR for the four operation regimes and the potential of “slow” light TPRR either with positive or negative v<sub><i>g</i></sub> for sensing applications are also discussed.

© 2007 IEEE

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  1. R. W. Boyd, D. J. Gauthier, Prog. in Optics (Elsevier, 2002) pp. 497-530.
  2. J. Scheuer, G. T. Paloczi, J. K. S. Poon, A. Yariv, "Coupled resonator optical waveguides: Toward the slowing & storage of light," Opt. Photon. News 16, 36-40 (2005).
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  6. K. Y. Song, M. G. Herráez, L. Thévenaz, "Observation of pulse delaying and advancement in optical fibers using stimulated Brillouin scattering," Opt. Express 13, 82-88 (2005).
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  23. R. G. Heideman, P. V. Lambeck, "Remote opto-chemical sensing with extreme sensitivity: Design, fabrication and performance of pigtailed integrated optical phase-modulated Mach–Zehnder interferometer system," Sens. Actuators B, Chem. 61, 100-127 (1999).

2006 (1)

P. V. Lambeck, "Integrated optical sensors for the chemical domain," Meas. Sci. Technol. 17, R93-R116 (2006).

2005 (3)

H. Altug, J. Vuckovic, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett. 86, 111 102.1-111 102.3 (2005).

J. Scheuer, G. T. Paloczi, J. K. S. Poon, A. Yariv, "Coupled resonator optical waveguides: Toward the slowing & storage of light," Opt. Photon. News 16, 36-40 (2005).

K. Y. Song, M. G. Herráez, L. Thévenaz, "Observation of pulse delaying and advancement in optical fibers using stimulated Brillouin scattering," Opt. Express 13, 82-88 (2005).

2004 (2)

J. F. Woodley, M. Mojahedi, "Negative group velocity and group delay in left-handed media," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 70, 046 603.1-046 603.6 (2004).

H. Takahashi, P. Carlsson, K. Nishimura, M. Usami, "Analysis of negative group delay response of all-pass ring resonator with Mach–Zehnder interferometer," IEEE Photon. Technol. Lett. 16, 2063-2065 (2004).

2003 (3)

M. Mojahedi, K. J. Malloy, G. V. Eleftheriades, J. Woodley, R. Y. Chiao, "Abnormal wave propagation in passive media," IEEE J. Sel. Topics Quantum Electron. 19, 30-39 (2003).

A. Melloni, F. Morichetti, M. Martinelli, "Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures ," Opt. Quantum Electron. 35, 365-379 (2003).

M. D. Stenner, D. J. Gauthier, M. A. Neifeld, "The speed of information in a “fast-light” optical medium," Nature 425, 695-698 (2003).

2002 (1)

J. E. Heebner, R. W. Boyd, "Slow and fast light in resonator-coupled waveguides," J. Mod. Opt. 49, 2629-2636 (2002).

2000 (1)

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

1999 (2)

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

R. G. Heideman, P. V. Lambeck, "Remote opto-chemical sensing with extreme sensitivity: Design, fabrication and performance of pigtailed integrated optical phase-modulated Mach–Zehnder interferometer system," Sens. Actuators B, Chem. 61, 100-127 (1999).

1996 (1)

J. M. Benedickson, J. P. Dowling, M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structure," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 53, 4107-4121 (1996).

1993 (1)

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

1970 (2)

F. R. Faxvog, C. N. Y. Chow, T. Bieber, J. A. Carruthers, "Measured pulse velocity greater than c in a neon absorption cell," Appl. Phys. Lett. 17, 192-193 (1970).

C. G. B. Garrett, D. E. McCumber, "Propagation of a Gaussian light pulse through an anomalous dispersion medium," Phys. Rev. A, Gen. Phys. 1, 305-313 (1970).

Appl. Phys. Lett. (2)

F. R. Faxvog, C. N. Y. Chow, T. Bieber, J. A. Carruthers, "Measured pulse velocity greater than c in a neon absorption cell," Appl. Phys. Lett. 17, 192-193 (1970).

H. Altug, J. Vuckovic, "Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays," Appl. Phys. Lett. 86, 111 102.1-111 102.3 (2005).

IEEE J. Sel. Topics Quantum Electron. (1)

M. Mojahedi, K. J. Malloy, G. V. Eleftheriades, J. Woodley, R. Y. Chiao, "Abnormal wave propagation in passive media," IEEE J. Sel. Topics Quantum Electron. 19, 30-39 (2003).

IEEE Photon. Technol. Lett. (1)

H. Takahashi, P. Carlsson, K. Nishimura, M. Usami, "Analysis of negative group delay response of all-pass ring resonator with Mach–Zehnder interferometer," IEEE Photon. Technol. Lett. 16, 2063-2065 (2004).

J. Mod. Opt. (1)

J. E. Heebner, R. W. Boyd, "Slow and fast light in resonator-coupled waveguides," J. Mod. Opt. 49, 2629-2636 (2002).

Meas. Sci. Technol. (1)

P. V. Lambeck, "Integrated optical sensors for the chemical domain," Meas. Sci. Technol. 17, R93-R116 (2006).

Nature (3)

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

M. D. Stenner, D. J. Gauthier, M. A. Neifeld, "The speed of information in a “fast-light” optical medium," Nature 425, 695-698 (2003).

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

Opt. Express (1)

Opt. Lett. (1)

H. P. Uranus, L. Zhuang, C. G. H. Roeloffzen, H. J. W. M. Hoekstra, "Pulse advancement and delay in an integrated optical two-port ring-resonator circuit: Direct experimental observations," Opt. Lett. .

Opt. Photon. News (1)

J. Scheuer, G. T. Paloczi, J. K. S. Poon, A. Yariv, "Coupled resonator optical waveguides: Toward the slowing & storage of light," Opt. Photon. News 16, 36-40 (2005).

Opt. Quantum Electron. (1)

A. Melloni, F. Morichetti, M. Martinelli, "Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures ," Opt. Quantum Electron. 35, 365-379 (2003).

Phys. Rev. A, Gen. Phys. (1)

C. G. B. Garrett, D. E. McCumber, "Propagation of a Gaussian light pulse through an anomalous dispersion medium," Phys. Rev. A, Gen. Phys. 1, 305-313 (1970).

Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. (2)

J. F. Woodley, M. Mojahedi, "Negative group velocity and group delay in left-handed media," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 70, 046 603.1-046 603.6 (2004).

J. M. Benedickson, J. P. Dowling, M. Scalora, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structure," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 53, 4107-4121 (1996).

Phys. Rev. Lett. (1)

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

Sens. Actuators B, Chem. (1)

R. G. Heideman, P. V. Lambeck, "Remote opto-chemical sensing with extreme sensitivity: Design, fabrication and performance of pigtailed integrated optical phase-modulated Mach–Zehnder interferometer system," Sens. Actuators B, Chem. 61, 100-127 (1999).

Other (5)

H. P. Uranus, L. Zhuang, C. G. H. Roeloffzen, H. J. W. M. Hoekstra, "Direct experimental observation of pulse temporal behavior in integrated-optical ring-resonator with negative group velocity," Eur. Conf. Integrated Optics (ECIO) CopenhagenDenmark (2007) Post Deadline Paper FPD1.

R. W. Boyd, D. J. Gauthier, Prog. in Optics (Elsevier, 2002) pp. 497-530.

L. Zhuang, Time-delay properties of optical ring resonators M.S. thesis Univ. TwenteEnschedeThe Netherlands (2005).

C. K. Madsen, J. H. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach (Wiley, 1999).

L. Brillouin, Wave Propagation and Group Velocity (Academic, 1960).

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