
Second harmonic generation in isotropic media: six-wave mixing of optical vortices
Author(s) -
Matthew Coles,
Mathew D. Williams,
Davıd L. Andrews
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.012783
Subject(s) - physics , angular momentum , orbital angular momentum of light , optical vortex , isotropy , optics , photon , orbital angular momentum multiplexing , mixing (physics) , vortex , four wave mixing , conical surface , high harmonic generation , momentum (technical analysis) , total angular momentum quantum number , quantum mechanics , nonlinear optics , laser , geometry , mathematics , finance , economics , thermodynamics
Optical vortex light can be up-converted into a second harmonic output in an isotropic medium, in which such conversion is normally forbidden, through six-wave mixing. The involvement of orbital angular momentum is tackled for the case of a Laguerre-Gaussian pump comprising l = 1 photons. By calculating quantum amplitudes for the emergent radiation states, utilizing a state-sequence method, the analysis identifies the characteristics of the emission and an entangled distribution of conserved orbital momentum. A distinctive conical spread affords a potential means of resolving the individual angular momentum content.