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.
Highlights
Optical beam modes are transverse eigensolutions of the paraxial wave equation (PWE) of electrodynamics [1]
Optical vortices have attracted considerable attention from the scientific community because they possess an external degree of freedom known as optical orbital angular momentum (OAM) in addition to the internal spin angular momentum [3]
We extend upon our earlier work [15] by investigating the production of Raman sidebands with higher-order helical beams such as the Laguerre Gaussian (LG) and
Summary
Optical beam modes are transverse eigensolutions of the paraxial wave equation (PWE) of electrodynamics [1]. The modes hold for beams that are well collimated such that the curvature in the propagation direction can be neglected. The fundamental mode in all three families is the commonly encountered Gaussian beam produced by many laser systems. Of these solutions, optical vortices have attracted considerable attention from the scientific community because they possess an external degree of freedom known as optical orbital angular momentum (OAM) in addition to the internal spin angular momentum [3]. The success of many high-field experiments is possible by advances in the generation and analysis of beam modes in femtosecond fields [2, 13, 14]. Investigations of highly nonlinear interactions of beam modes with matter have remained largely unexplored
Published Version
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