Localization in silicon nanophotonic slow-light waveguides

Mookherjea, Shayan; Park, Jung S.; Yang, Shun-Hui; Bandaru, Prabhakar R.

doi:10.1038/nphoton.2007.278

Cited by 138 publications

(118 citation statements)

References 31 publications

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“…In particular, in 1D systems (e.g. CROW) the disorder leads to localization [34][35][36] and therefore, the transmission is impeded. In contrast, the transport of edge states is topologically protected against disorder [5,37] and the transmission is not affected (as discussed above for Fig.…”

Section: Application To Delay Linesmentioning

confidence: 99%

Robust optical delay lines with topological protection

et al. 2011

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Section: Application To Delay Linesmentioning

confidence: 99%

Robust optical delay lines with topological protection

et al. 2011

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“…In closing, we note that while we have focused our attention to photonic crystals, the analysis presented in this Brief Report applies equally well to any slowlight scheme based on band-structure effects, such as, for example, coupled resonator waveguides, where it has been shown that lattice disorder may severely limit the attainable reduction in group velocity. 38 This …”

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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“…Disorder-immune symmetries in particular may impact photon statistics in counter-intuitive ways, as we have shown here in the class of 1D chiral ensembles. Experimental realization of these predictions is within the reach of current photonic fabrication capabilities, whether in the context of coupled waveguides [17][18][19][20]27 , resonators 26 , photonic crystals 25 , or photorefractive arrangements 17 . Fascinating questions related to entropy generation in the field, the potential impact of nonlinearities induced in the lattice at high fluence levels, the effect of timevarying potentials, and the evolution of non-classical light such as spatially entangled biphoton and Fock states in activated chiral lattices can now be pursued.…”

mentioning

confidence: 91%

“…We adopt here these arrays of coupled optical waveguides as the realization of choice (Fig. 1c) 19 -but our results are applicable to other embodiments 17,[25][26][27] . One intuitively expects that monochromatic light propagating along a transversely disordered lattice of the kind described above will gradually become spatially randomized 28 .…”

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confidence: 99%

A photonic thermalization gap in disordered lattices

2015

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The formation of gaps -forbidden ranges in the values of a physical parameter -is a ubiquitous feature of a variety of physical systems: from energy bandgaps of electrons in periodic lattices 1 and their analogs in photonic 2 , phononic 3 , and plasmonic 4 systems to pseudo energy gaps in aperiodic quasicrystals. 5 Here, we report on a 'thermalization' gap for light propagating in finite disordered structures characterized by disorder-immune chiral symmetry 6 -the appearance of the eigenvalues and eigenvectors in skew-symmetric pairs. In this class of systems, the span of subthermal photon statistics is inaccessible to input coherent light, which -once the steady state is reached -always emerges with super-thermal statistics no matter how small the disorder level. We formulate an independent constraint that must be satisfied by the input field for the chiral symmetry to be 'activated' and the gap to be observed. This unique feature enables a new form of photon-statistics interferometry: the deterministic tuning of photon statistics -from sub-thermal to super-thermal -in a compact device, without changing the disorder level, via controlled excitation-symmetry-breaking realized by sculpting the amplitude or phase of the input coherent field.

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Localization in silicon nanophotonic slow-light waveguides

Cited by 138 publications

References 31 publications

Robust optical delay lines with topological protection

Robust optical delay lines with topological protection

Limits of slow light in photonic crystals

A photonic thermalization gap in disordered lattices

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