Coupled-resonator optical waveguides

Q-factor influence on slow-light propagation and the maximal group delay

Søren Raza, Jure Grgic, Jesper Goor Pedersen, Sanshui Xiao, Asger Mortensen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Coupled-resonator optical waveguides hold potential for slow-light propagation of optical pulses. The dispersion properties may adequately be analyzed within the framework of coupled-mode theory. We extend the standard coupled-mode theory for such structures to also include complex-valued parameters which allows us to analyze the dispersion properties also in presence of finite Q factors for the coupled resonator states. Near the band-edge the group velocity saturates at a finite value vg/c µ p1/Q while in the band center, the group velocity is unaffected by a finite Q factor as compared to ideal resonators without any damping. However, the maximal group delay that can be envisioned is a balance between having a low group velocity while not jeopardizing the propagation length. We find that the maximal group delay remains roughly constant over the entire bandwidth, being given by the photon life time tp = Q/W of the individual resonators.
Original languageEnglish
JournalEuropean Optical Society
Volume5
Pages (from-to)10009
ISSN1990-2573
DOIs
Publication statusPublished - 2010

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optical waveguides
Q factors
resonators
group velocity
propagation
coupled modes
low speed
damping
bandwidth
life (durability)
photons
pulses

Cite this

Raza, Søren ; Grgic, Jure ; Pedersen, Jesper Goor ; Xiao, Sanshui ; Mortensen, Asger. / Coupled-resonator optical waveguides : Q-factor influence on slow-light propagation and the maximal group delay. In: European Optical Society. 2010 ; Vol. 5. pp. 10009.
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abstract = "Coupled-resonator optical waveguides hold potential for slow-light propagation of optical pulses. The dispersion properties may adequately be analyzed within the framework of coupled-mode theory. We extend the standard coupled-mode theory for such structures to also include complex-valued parameters which allows us to analyze the dispersion properties also in presence of finite Q factors for the coupled resonator states. Near the band-edge the group velocity saturates at a finite value vg/c µ p1/Q while in the band center, the group velocity is unaffected by a finite Q factor as compared to ideal resonators without any damping. However, the maximal group delay that can be envisioned is a balance between having a low group velocity while not jeopardizing the propagation length. We find that the maximal group delay remains roughly constant over the entire bandwidth, being given by the photon life time tp = Q/W of the individual resonators.",
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Coupled-resonator optical waveguides : Q-factor influence on slow-light propagation and the maximal group delay. / Raza, Søren; Grgic, Jure; Pedersen, Jesper Goor; Xiao, Sanshui; Mortensen, Asger.

In: European Optical Society, Vol. 5, 2010, p. 10009.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Coupled-resonator optical waveguides

T2 - Q-factor influence on slow-light propagation and the maximal group delay

AU - Raza, Søren

AU - Grgic, Jure

AU - Pedersen, Jesper Goor

AU - Xiao, Sanshui

AU - Mortensen, Asger

PY - 2010

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AB - Coupled-resonator optical waveguides hold potential for slow-light propagation of optical pulses. The dispersion properties may adequately be analyzed within the framework of coupled-mode theory. We extend the standard coupled-mode theory for such structures to also include complex-valued parameters which allows us to analyze the dispersion properties also in presence of finite Q factors for the coupled resonator states. Near the band-edge the group velocity saturates at a finite value vg/c µ p1/Q while in the band center, the group velocity is unaffected by a finite Q factor as compared to ideal resonators without any damping. However, the maximal group delay that can be envisioned is a balance between having a low group velocity while not jeopardizing the propagation length. We find that the maximal group delay remains roughly constant over the entire bandwidth, being given by the photon life time tp = Q/W of the individual resonators.

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