Nonlinear diffraction and second-harmonic generation enhancement in silicon-opal photonic crystals

Fedyanin, Andrey A.; Aktsipetrov, O.A.; Kurdyukov, D. A.; Голубев, В. Г.; Inoue, M.

doi:10.1063/1.2077836

Cited by 48 publications

(28 citation statements)

References 26 publications

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“…Experiments have confirmed the existence of both behaviors in 3D ordered nanostructures, precisely in the high energy spectral range either in the ΓL and ΓX directions of fcc close-packed opal films [6,7]. In fact, interesting applications that take advantage of the special optical properties of periodic nanostructures at the high energy range, such as the anomalous group velocity reduction, have already been proposed to enhance various optical processes [8,9,10,11]. Besides, several experimental and theoretical works have already been devoted to explain the optical new features appearing at this energy range [8,12,13,14].…”

Section: Introductionmentioning

confidence: 76%

Anomalous group velocity at the high energy range of real 3D photonic nanostructures

et al. 2010

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We perform a theoretical study on the group velocity for finite thin artificial opal slabs made of a reduced number of layers in the spectral range where the light wavelength is on the order of the lattice parameter. The vector KKR method including extinction allows us to evaluate the finite-size effects on light propagation in the ΓL and ΓX directions of fcc close-packed opal films made of dielectric spheres. The group is index determined from the phase delay introduced by the structure to the forwardly transmitted electric field. We show that for certain frequencies, light propagation can either be superluminal -positive or negative-or approach zero depending on the crystal size and absorption. Such anomalous behavior can be attributed to the finite character of the structure and provides confirmation of recently emerged experimental results.

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Section: Introductionmentioning

confidence: 76%

Anomalous group velocity at the high energy range of real 3D photonic nanostructures

et al. 2010

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“…Such modes are associated with strong group velocity reductions [1]. In 3D ordered systems, interesting applications that take advantage of such phenomenon have been proposed to enhance various optical processes [1][2][3][4][5]. Besides, experiments have confirmed the existence of not only slow light, but also superluminal properties in 3D ordered thin nanostructures [6,7].…”

Section: Introductionmentioning

confidence: 77%

Anomalous group velocity at the high energy range of a 3D photonic nanostructure

Botey¹,

Martorell²,

Dorado³

et al. 2010

Opt. Express

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Abstract:We report on a study of electromagnetic waves propagation in thin periodically ordered photonic nanostructures in the spectral range where the light wavelength is on the order of the lattice parameter. The vector KKR method we use allows us to determine the group index from finite photonic structures including extinction providing confirmation of recently emerged results. We show that for certain frequencies the group velocity of opal slabs can either be superluminal or approach zero depending on the crystal thickness and the unavoidable presence of losses. In some cases, group velocity can be negative. Such behavior can be clearly attributed to the finite character of the three-dimensional structure and reproduces previously reported experimental observations. Calculations show that contrary to the predictions of extraordinary group velocity reductions for infinite periodic structures, the group velocity of real opals may exhibit strong fluctuations at the high energy range. Hence, a direct identification between the calculated anomalous group velocities, for an actual opal film, and the predicted propagating low dispersion modes for an ideal infinite ordered structure seems difficult to establish. 49-77 (1998). 14. K. Ohtaka, "Scattering theory of low-energy photon diffraction," J. Phys. C: Solid State 13(4), 667-680 (1980). 15. A. Modinos, "Scattering of electromagnetic waves by a plane of spheres-formalism," Physica A 141(2-3), 575-588 (1987) ©2010 Optical Society of America

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“…In 1970, Bloembergen and Sievers proposed this effect as a way to achieve phase matching, and indeed a peak of SHG could be clearly identified when measured from an ordered distribution of coated spheres [5]. Such a structural phase matching mechanism was also used for SHG using opals made of silicon spheres [17] or to enhance third harmonic generation from opals of polystyrene spheres [18].…”

Section: Photonic Crystal Strategy To Enhance Scattered Shgmentioning

confidence: 99%

“…On the other hand, the fundamental frequency usually lies far from any photonic band and, therefore, propagates as if traversing a homogeneous medium (an exception to this rule is found in Ref. [17]). In 1970, Bloembergen and Sievers proposed this effect as a way to achieve phase matching, and indeed a peak of SHG could be clearly identified when measured from an ordered distribution of coated spheres [5].…”

Section: Photonic Crystal Strategy To Enhance Scattered Shgmentioning

confidence: 99%

Nonlinear optics in spheres: from second harmonic scattering to quasi‐phase matched generation in whispering gallery modes

Kozyreff

Domínguez-Juárez

Martorell

2011

Laser & Photonics Reviews

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Over the last fifteen years, a series of theoretical and experimental investigations have demonstrated the usefulness of circular geometries to tailor second-order nonlinear optical effects. However, until recently, such effects have remained rather weak, calling for their enhancement. In parallel, developments in the field of high quality factor spherical or ring resonators have shown that many different types of light-matter interactions can be dramatically amplified when light is coupled in the whispering gallery modes of such resonators. In high-quality spherical micro-resonators, close to one million interactions can occur between a nonlinear molecule and a circulating light pulse. Recent research on nonlinear optics in spherical geometry is reviewed, from micrometer-size spheres to whispering gallery mode resonators.

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Nonlinear diffraction and second-harmonic generation enhancement in silicon-opal photonic crystals

Cited by 48 publications

References 26 publications

Anomalous group velocity at the high energy range of real 3D photonic nanostructures

Anomalous group velocity at the high energy range of real 3D photonic nanostructures

Anomalous group velocity at the high energy range of a 3D photonic nanostructure

Nonlinear optics in spheres: from second harmonic scattering to quasi‐phase matched generation in whispering gallery modes

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