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.

Optical device for the precision control of the electric field in the focus of a beam

“…LG eo are solutions of the paraxial wave equation and in cylindrical polar coordinates and are obtained by separation of variables. These solutions are known as even and odd Laguerre Gaussian beams [15],   ) the beam is horizontally (vertically) polarized [4]. Using the result of Eq.…”

“…Equation 15 is the electric field vector in the focus of the beam. It is the superposition of two sub-beams: one having linear transverse polarization and the other having longitudinal polarization.…”

Detection of mixed OAM states via vortex breakup

“…Because SLMs and CGHs are phase-only modulators, these small distortions can be interpreted as separate components of the beam with different TCs (since TC is the only parameter which characterizes phase). Because nonlinear process amplify small perturbations (noise) [24,25], these extra components play a large role for OVs in different nonlinear processes such as second harmonic generation [26], Raman generation with femtosecond OVs [27,28,29], or white light generation [30]. As a result, the nonlinearly generated beams may become so distorted that they represent a mixed state [31] containing comparable amounts of different OAM values.…”

A perturbative quantized twist embedded in Minkowski spacetime

“…Interest in optical vortices has focused on the external orbital angular momentum (OAM) carried by these beams and how this physical quantity can be transferred to matter. Recent work in nonlinear singular optics includes the coherent transfer of OAM to Raman sidebands [19][20][21], and to high harmonics [22,23]. Optical vortices have also interested the gravitational wave community, and various schemes have been proposed to use them in the reduction of detector noise [24][25][26].…”