title: Cascade Raman sideband generation and orbital angular momentum relations for paraxial beam modes.
abstract: In this work, the nonlinear parametric interaction of optical radiation in various transverse modes in a Raman-active medium is investigated both experimentally and theoretically. Verification of the orbital angular momentum algebra (OAM-algebra) [Strohaber et al.,Opt. Lett.37,3411 (2012)] was performed for high-order Laguerre Gaussian modes ℓ>1. It was found that this same algebra also describes the coherent transfer of OAM when Ince-Gaussian modes were used. New theoretical considerations extend the OAM-algebra to even and odd Laguerre Gaussian, and Hermite Gaussian beam modes through a change of basis. The results of this work provide details in the spatiotemporal synthesis of custom broadband pulses of radiation from Raman sideband generation.
authors.forename: J
authors.initials: J
authors.lastname: Strohaber
authors.forename: J
authors.initials: J
authors.lastname: Abul
authors.forename: M
authors.initials: M
authors.lastname: Richardson
authors.forename: F
authors.initials: F
authors.lastname: Zhu
authors.forename: A A
authors.initials: AA
authors.lastname: Kolomenskii
authors.forename: H A
authors.initials: HA
authors.lastname: Schuessler