Non-collinear interaction of photons with orbital angular momentum

Scientific Reports
Thomas RogerDaniele Faccio

Abstract

We study the nonlinear interaction between two non-collinear light beams that carry orbital angular momentum (OAM). More specifically, two incident beams interact at an angle in a medium with a second order nonlinearity and thus generate a third, non-collinear beam at the second harmonic frequency that experiences a reduced conversion efficiency in comparison to that expected based on conventional phase-matching theory. This reduction scales with the input beam OAM and, differently from previous spiral bandwidth calculations, is due to a geometric effect whereby the input OAM is projected along the non-collinear interaction direction. The effect is relevant even at small interaction angles and is further complicated at large angles by a non-conservation of the total OAM in the nonlinear interaction. Experiments are performed under different conditions and are in excellent agreement with the theory. Our results have implications beyond the specific case studied here of second-harmonic generation, in particular for parametric down-conversion of photons or in general for phase-matched non-collinear interactions between beams with different OAM.

References

Nov 1, 1996·Physical Review. a·K DholakiaL Allen
Aug 8, 2009·Physical Review Letters·A GattiL A Lugiato
Oct 2, 2009·Physical Review Letters·B JackM J Padgett
Mar 5, 2013·Optics Letters·Andrey S OstrovskyVíctor Arrizón
Dec 11, 2013·Optics Letters·Mingzhou ChenKishan Dholakia

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Citations

Jun 2, 2015·Optics Letters·Apurv N ChaitanyaG K Samanta
Feb 3, 2016·Optics Express·Alexandra A ZhdanovaAlexei V Sokolov
Oct 16, 2015·Optics Letters·Joaquín García-GarcíaAndrey S Ostrovsky
Mar 16, 2016·Optics Letters·Alexander M AkulshinRussell J McLean
May 5, 2018·Applied Optics·Tom Bolze, Patrick Nuernberger
Mar 18, 2017·Physical Review Letters·Daniele Faccio, Ewan M Wright

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