2012
DOI: 10.1103/physrevlett.108.233902
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Twisting Light by Nonlinear Photonic Crystals

Abstract: We report the observation of nonlinear interactions in quadratic nonlinear crystals having a geometrically twisted susceptibility pattern. The quasi-angular-momentum of these crystals is imprinted on the interacting photons during the nonlinear process so that the total angular momentum is conserved. These crystals affect three basic physical quantities of the output photons: energy, translational momentum, and angular momentum. Here we study the case of second-order harmonic vortex beams, generated from a gau… Show more

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Cited by 151 publications
(126 citation statements)
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“…3(a) a very narrow (high Q-factor) transmission peak for the FPC with a DBE, with 32 N = unit cells. This occurs at an angular frequency very close and lower than to the DBE angular frequency d ω , because strong reflection occurs at d ω and for higher frequencies due to an existing bandgap [10,11]. The transmitted spectrum is densely-packed with resonances, for the FPC with DBE near the DBE frequency.…”
Section: A Transmission Characteristicsmentioning
confidence: 99%
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“…3(a) a very narrow (high Q-factor) transmission peak for the FPC with a DBE, with 32 N = unit cells. This occurs at an angular frequency very close and lower than to the DBE angular frequency d ω , because strong reflection occurs at d ω and for higher frequencies due to an existing bandgap [10,11]. The transmitted spectrum is densely-packed with resonances, for the FPC with DBE near the DBE frequency.…”
Section: A Transmission Characteristicsmentioning
confidence: 99%
“…an expression of the operator M is given by [10,11] We outline here the method we use to evaluate the local density of states through the dyadic Green's function in Cartesian coordinates for an electric sheet current in the x-y plane, and located at an arbitrary point z′ in a stack of anisotropic layered media shown in the inset of Fig. 1, and described by symmetric permittivity dyadic as in (A2), by generalizing the scheme used in [51,67,68] .…”
Section: Appendix A: Transfer Matrices Of Anisotropic Layersmentioning
confidence: 99%
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“…18 Since the thickness of the thin film is comparable to the coherent length of nonlinear frequency conversion, more applications for complex wave front tailoring could be expected with the help of properly designed domain patterns.…”
Section: (B)mentioning
confidence: 99%
“…Cylindrical mode converters can provide high power and wide spectral coverage, but the generation of higher-order vortices is limited by the difficult requirement of higher-order Hermite-Gaussian modes as inputs [16]. Based on OAM conservation in nonlinear interactions, frequency conversion experiments have recently generated high-power and higher-order optical vortices at new but discrete wavelengths [13,17,18].…”
Section: Introductionmentioning
confidence: 99%