title: Second harmonic generation in isotropic media: six-wave mixing of optical vortices.
abstract: 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.
authors.affiliation: School of Chemistry, University of East Anglia, Norwich NR4 7TJ, UK.
authors.forename: Matt M
authors.initials: MM
authors.lastname: Coles
authors.forename: Mathew D
authors.initials: MD
authors.lastname: Williams
authors.forename: David L
authors.initials: DL
authors.lastname: Andrews
mesh_terms: D016880:Anisotropy; D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D011789:Quantum Theory; D012542:Scattering, Radiation