Dependence of extrinsic loss on group velocity in photonic crystal waveguides

O’Faoláin, Liam; White, Thomas P.; O’Brien, D.; Yuan, Xiaodong; Settle, Michael; Krauss, Thomas F.

doi:10.1364/oe.15.013129

Cited by 138 publications

(110 citation statements)

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“…These general approximate loss-scaling relations have now been confirmed experimentally by a number of groups, e.g. [78][79][80], except that they naturally break down at extremely low group velocities where using the ideal band structure is no longer a good approximation [81]. In this case, the effective group velocity will be noticeably altered from the ideal value for around v g .…”

Section: The Infinite-size Pc Waveguide: Open System Cavity-qedmentioning

confidence: 74%

On‐chip single photon sources using planar photonic crystals and single quantum dots

Yao

Rao

Hughes³

2010

Laser & Photonics Reviews

157

184

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We review the basic light-matter interactions and optical properties of chip-based single photon sources, that are enabled by integrating single quantum dots with planar photonic crystals. A theoretical framework is presented that allows one to connect to a wide range of quantum light propagation effects in a physically intuitive and straightforward way. We focus on the important mechanisms of enhanced spontaneous emission, and efficient photon extraction, using all-integrated photonic crystal components including waveguides, cavities, quantum dots and output couplers. The limitations, challenges, and exciting prospects of developing on-chip quantum light sources using integrated photonic crystal structures are discussed.A sequence of optical pulses (top right) interacting with a single quantum dot embedded in a photonic crystal system, resulting in the emission of a train of single photons on-chip.

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Section: The Infinite-size Pc Waveguide: Open System Cavity-qedmentioning

confidence: 74%

On‐chip single photon sources using planar photonic crystals and single quantum dots

Yao

Rao

Hughes³

2010

Laser & Photonics Reviews

157

184

View full text Add to dashboard Cite

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“…(19) (the E z is zero at z = 0), which is equivalent to consider dipole orientations in eitherx orŷ directions, respectively. Since the PC is randomly perturbed when disorder is introduced, the probability of field localization must be the same along the waveguide for Anderson modes, and hence the probability of strong coupling should be independent on the emitter position along this region.…”

Section: Probability Of Strong Coupling With a Quantum Emittermentioning

confidence: 99%

Statistics of Anderson-localized modes in disordered photonic crystal slab waveguides

Vasco

Hughes

2017

Phys. Rev. B

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We present a fully three-dimensional Bloch mode expansion technique and photon Green function formalism to compute the quality factor, mode volume, and Purcell enhancement distributions of a disordered W1 photonic crystal slab waveguide in the slow-light Anderson localization regime. By considering fabrication (intrinsic) and intentional (extrinsic) disorder we find that the quality factor and Purcell enhancement statistics are well described by log-normal distributions without any fitting parameters. We also compare directly the effects of hole size fluctuations as well as fluctuations in the hole position. The functional dependence of the mean and standard deviation of the quality factor and Purcell enhancement distributions is found to decrease exponentially on the square root of the extrinsic disorder parameter. The strong coupling probability between a single quantum dot and an Anderson-localized mode is numerically computed and found to exponential decrease with the squared extrinsic disorder parameter, where low disordered systems give rise to larger probabilities when state-of-art quantum dots are considered. The optimal regions to position quantum dots in the W1 waveguide are also discussed. These theoretical results are fundamental interesting and connect to recent experimental works on photonic crystal slab waveguides in the slow-light regime.

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“…[15][16][17][18] However, even though ideal structures would in principle support modes of vanishing group velocity, state-of-the-art structures have still only provided a slow down by roughly two orders of magnitude. 15,18 The limits imposed on the minimum attainable group velocity in photonic crystals have been studied in various contexts, such as, e.g., fabrication disorder, 19,20 lossy dielectrics, 21 and finitesize effects. 22 It is the aim of this Brief Report to generalize these findings and to show that they may all be presented in the context of broadening of electromagnetic modes and the resulting induced density of states ͑DOS͒.…”

Section: Limits Of Slow Light In Photonic Crystalsmentioning

confidence: 99%

Limits of slow light in photonic crystals

2008

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While ideal photonic crystals would support modes with a vanishing group velocity, state-of-the art structures have still only provided a slow-down by roughly two orders of magnitude. We find that the induced density of states caused by lifetime broadening of the electromagnetic modes results in the group velocity acquiring a finite value above zero at the band gap edges, while attaining superluminal values within the band gap. Simple scalings of the minimum and maximum group velocities with the imaginary part of the dielectric function or, equivalently, the linewidth of the broadened states, are presented. The results obtained are entirely general and may be applied to any effect which results in a broadening of the electromagnetic states, such as loss, disorder, finite-size effects, etc. This significantly limits the reduction in group velocity attainable via photonic crystals.

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Dependence of extrinsic loss on group velocity in photonic crystal waveguides

Cited by 138 publications

References 0 publications

On‐chip single photon sources using planar photonic crystals and single quantum dots

On‐chip single photon sources using planar photonic crystals and single quantum dots

Statistics of Anderson-localized modes in disordered photonic crystal slab waveguides

Limits of slow light in photonic crystals

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