Diffraction-free image transmission in kagome photonic lattices

Vicencio, Rodrigo A.; Mejía-Cortés, Cristian

doi:10.1088/2040-8978/16/1/015706

Cited by 81 publications

(61 citation statements)

References 32 publications

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“…Recently this topic attracted a lot of attention. Light localization effects in 1D nonlinear kagome and ladder ribbons (uniform and binary) [24,25], as well as in 2D kagome lattices [26][27][28][29] were investigated.…”

Section: Introductionmentioning

confidence: 99%

Localized gap modes in nonlinear dimerized Lieb lattices

et al. 2017

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Compact localized modes of ring type exist in many two-dimensional lattices with a flat linear band, such as the Lieb lattice. The uniform Lieb lattice is gapless, but gaps surrounding the flat band can be induced by various types of bond alternations (dimerizations) without destroying the compact linear eigenmodes. Here, we investigate the conditions under which such diffractionless modes can be formed and propagated also in the presence of a cubic on-site (Kerr) nonlinearity. For the simplest type of dimerization with a three-site unit cell, nonlinearity destroys the exact compactness, but strongly localized modes with frequencies inside the gap are still found to propagate stably for certain regimes of system parameters. By contrast, introducing a dimerization with a 12-site unit cell, compact (diffractionless) gap modes are found to exist as exact nonlinear solutions in continuation of flat band linear eigenmodes. These modes appear to be generally weakly unstable, but dynamical simulations show parameter regimes where localization would persist for propagation lengths much larger than the size of typical experimental waveguide array configurations. Our findings represent an attempt to realize conditions for full control of light propagation in photonic environments.

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Section: Introductionmentioning

confidence: 99%

Localized gap modes in nonlinear dimerized Lieb lattices

et al. 2017

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“…These include photonic flat bands [116,117,118] and spin ice and geometric frustration [62,63]. Investigating further similarities between our kagome spin lattices and these other kagome lattices could allow these phenomena to be realised in different systems, as well as improving understanding of how these spin systems manifest such behaviour.…”

Section: Semiregular Kagome Latticesmentioning

confidence: 87%

Cooperative Interactions in Lattices of Atomic Dipoles

Bettles

2017

Springer Theses

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Coherent radiation by an ensemble of scatterers can dramatically modify the ensemble's optical response. This can include, for example, enhanced and suppressed decay rates (superradiance and subradiance respectively), energy level shifts, and highly directional scattering. This behaviour is referred to as cooperative, since the scatterers in the ensemble behave as a collective rather than independently. In this Thesis, we investigate the cooperative behaviour of one-and two-dimensional arrays of interacting atoms.We calculate the extinction cross-section of these arrays, analysing how the cooperative eigenmodes of the ensemble contribute to the overall extinction. Typically, the dominant eigenmode if the atoms are driven by a uniform or Gaussian light beam is the mode in which the atomic dipoles oscillate in phase together and with the same polarisation as the driving field. The eigenvalues of this mode become strongly resonant as the atom number is increased. For a one-dimensional array, the location of these resonances occurs when the atomic spacing is an integer or half integer multiple of the wavelength, thus behaving analogously to a single atom in a cavity. The interference between this mode and additional eigenmodes can result in Fano-like asymmetric lineshapes in the extinction.We find that the kagome lattice in particular exhibits an exceptionally strong interference lineshape, like a cooperative analog of electromagnetically induced transparency.Triangular, square and hexagonal lattices however are typically dominated by one single mode which, for lattice spacings of the order of a wavelength, can be highly subradiant.This can result in near-perfect extinction of a resonant driving field, signifying a significant increase in the atom-light coupling efficiency. We show that this extinction is robust to possible experimental imperfections.

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“…Recently studied examples of flat-band systems include quasi-one-dimensional (quasi-1D) diamond ladder [14], twodimensional (2D) Lieb [21][22][23], and 2D kagome lattices [24][25][26][27]. Particularity of the latter systems are, besides linear localized ring modes, one-peak solutions which bifurcate from flat band at zero power threshold in the presence of nonlinearity [27] and propagate without diffraction through the system.…”

Section: Introductionmentioning

confidence: 99%

“…The main finding is that by proper initial ribbon excitation and selection of geometric parameters, the light propagation can be controlled. Throughout the paper, we compare our results for binary kagome ribbons with the results for uniform ribbons [33] and 2D kagome lattices [25][26][27] in order to stress what binarism adds to these systems.…”

Section: Introductionmentioning

confidence: 99%

Localized modes in nonlinear binary kagome ribbons

et al. 2015

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The localized mode propagation in binary nonlinear kagome ribbons is investigated with the premise to ensure controlled light propagation through photonic lattice media. Particularity of the linear system characterized by the dispersionless flat band in the spectrum is the opening of new minigaps due to the "binarism." Together with the presence of nonlinearity, this determines the guiding mode types and properties. Nonlinearity destabilizes the staggered rings found to be nondiffracting in the linear system, but can give rise to dynamically stable ringlike solutions of several types: unstaggered rings, low-power staggered rings, hour-glass-like solutions, and vortex rings with high power. The type of solutions, i.e., the energy and angular momentum circulation through the nonlinear lattice, can be controlled by suitable initial excitation of the ribbon. In addition, by controlling the system "binarism" various localized modes can be generated and guided through the system, owing to the opening of the minigaps in the spectrum. All these findings offer diverse technical possibilities, especially with respect to the high-speed optical communications and high-power lasers.

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Diffraction-free image transmission in kagome photonic lattices

Cited by 81 publications

References 32 publications

Localized gap modes in nonlinear dimerized Lieb lattices

Localized gap modes in nonlinear dimerized Lieb lattices

Cooperative Interactions in Lattices of Atomic Dipoles

Localized modes in nonlinear binary kagome ribbons

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