Emission control in broad periodic waveguides and critical coupling

Bénisty, Henri; Khayam, Omer; Cambournac, Cyril

doi:10.1016/j.photonics.2010.02.005

Cited by 11 publications

(14 citation statements)

References 21 publications

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“…The most striking feature is what we termed earlier "critical coupling" [15][16][17], [19,20], the fact that the dispersion E(M,k) can become perfectly flat (∂/∂k ≡ 0) for V crit = E/π [2][3][4]; see Figs. 1(a) and 1(b).…”

Section: Crisscrossing Manifolds Flat Bands and Critical Couplingmentioning

confidence: 80%

Crossing of manifolds leads to flat dispersion: Blazed Littrow waveguides

et al. 2011

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International audienceWe display a photonic embodiment of the Demkov-Ostrovsky solution to the crossing of two manifolds made of equidistant modes thanks to broad periodic waveguides. We find clearly narrowing resonances that signal the singular, flat dispersion case that we had termed "critical coupling." The reconciliation of band-edge confinement and cavity confinement, two pillars of photonics, appear from the guide length dependence of spectra. We suggest the generality of the Demkov-Ostrovsky or critical coupling flat dispersion across all kinds of waves, e. g., electronic and acoustic

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Section: Crisscrossing Manifolds Flat Bands and Critical Couplingmentioning

confidence: 80%

Crossing of manifolds leads to flat dispersion: Blazed Littrow waveguides

et al. 2011

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“…In waveguides such as W15, we evidenced "Littrow lasing" [6]. This led us on the one hand to investigate spontaneous emission in such broad guides [7][8][9].…”

Section: Introductionmentioning

confidence: 95%

“…The periodic corrugation has the effect of coupling both sets of modes [12], in a way reminiscent of studies made for LandauZener manipulation of Rydberg atoms in the 90's [15], an analytical description that we are currently investigating. , [8,11,12], the coupled modes dispersion flattens out at the zone edge, being equally pushed downward by higher modes and pushed upward by lower modes. This is the critically coupled regime (CCR).…”

Section: Introductionmentioning

confidence: 97%

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Broad periodic waveguides: Slow light and its reconciliation with cavity modes

Bénisty

Khayam

Piskunov

et al. 2011

2011 13th International Conference on Transparent Optical Networks

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A "slow" high-order mode in a photonic crystal waveguides can be exploited using conversion from a "fast" fundamental mode to achieve demultiplexing. A further interesting slow-light regime of more general broad periodically corrugated waveguides with many modes will be shown: it arises from higher-order modes coupled among themselves and hinges on the familiar Littrow diffraction geometry. We will show some of its less obvious features, notably the "critical coupling" regime for maximal slow down. This "critical coupling" regime induces modes whose transmission closely follows that of multiple Fabry-Perot resonators. Experiments on broad Silicon-on-Insulator waveguides evidencing this regime are shown. We argue that this system reconciles cavity vs. band-edge enhancement and is dual to the popular "CROW" introduced by Yariv in 1999.

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“…Gaps open at every crossing, but as discussed recently [2], if the coupling has an adequate strength, the so-called critical coupling regime (CCR) optimally flat bands are formed at the Brillouin zone edge [3,4]. In some more details, the set of coupled modes has a locally hyperbolic behavior [4], with wiggles reminiscent of the initial modes superimposed on it. The gaps of each crossing coalesce along these hyperbola into "stripes of minigaps" [5].…”

Section: Introductionmentioning

confidence: 97%