Orbital angular momentum mixing in type II second harmonic generation

Abstract

We investigate the non linear mixing of orbital angular momentum in type II second harmonic generation with arbitrary topological charges imprinted on two orthogonally polarized beams. Starting from the basic nonlinear equations for the interacting fields, we derive the selection rules determining the set of paraxial modes taking part in the interaction. Conservation of orbital angular momentum naturally appears as the topological charge selection rule. However, a less intuitive rule applies to the radial orders when modes carrying opposite helicities are combined in the nonlinear crystal, an intriguing feature confirmed by experimental measurements.

9 pages, 3 figures

References in corpus (32)

• Entanglement of Orbital Angular Momentum States of Photons
• Polarization pattern of vector vortex beams generated by $q$-plates with different topological charges
• Quantum information transfer from spin to orbital angular momentum of photons
• Complete experimental toolbox for alignment-free quantum communication
• Remote Preparation of Single-Photon "Hybrid" Entangled and Vector-Polarization States
• Trans-spectral orbital angular momentum transfer via four wave mixing in Rb vapor
• Classical entanglement in polarization metrology
• Bell-like inequality for spin-orbit separability of a classical laser beam
• Classical entanglement: Oxymoron or resource?
• Classical and quantum properties of cylindrically polarized states of light
• Synthesis and characterization of attosecond light vortices in the extreme ultraviolet
• Spin-orbit hybrid entanglement of photons and quantum contextuality
• Shifting the Quantum-Classical Boundary: Theory and Experiment for Statistically Classical Optical Fields
• Polarization shaping for control of nonlinear propagation
• Quantum communication without alignment using multiple-qubit single-photon states
• Topological phase for spin-orbit transformations on a laser beam
• Orbital angular momentum exchange in an optical parametric oscillator
• Frequency up-conversion and arbitrary sum arithmetic of lights with orbital angular momentum
• Quantum and classical separability of spin-orbit laser modes
• Conservation of Orbital Angular Momentum in Stimulated Down-Conversion
• State transfer based on classical nonseparability
• Tripartite non-separability in classical optics
• Single-photon spin-orbit entanglement violating a Bell-like inequality
• Quantum teleportation in the spin-orbit variables of photon pairs
• Real-time imaging of spin-to-orbital angular momentum quantum state teleportation
• Environment-induced entanglement with a single photon
• Gaussian Beam-Propagation Theory for Nonlinear Optics - Featuring an Exact Treatment of Orbital Angular Momentum Transfer
• Spin-orbit mode transfer via a classical analog of quantum teleportation
• Measurement of the degree of Polarization Entanglement Through Position Interference
• Mixing of spin and orbital angular momenta via second-harmonic generation in plasmonic and dielectric chiral nanostructures
• A classical to quantum optical network link for orbital angular momentum carrying light
• Dynamic mode evolution and phase transition of twisted light in nonlinear process

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• Spatial polarization independent parametric upconversion of vectorially structured light
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• Spatial mode detection by frequency upconversion
• Parametric upconversion of Ince-Gaussian modes
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• Four-wave mixing based orbital angular momentum translation
• Quantum-optical Description of Phase Conjugation of Vector Vortex Beams in Stimulated Parametric Down Conversion
• Mode Selective Image Upconversion over Turbulence
• Generalized Orbital Angular Momentum Symmetry in Parametric Amplification
• Spatial distribution of two symmetric four-wave mixing signals induced by Gaussian beams
• Radial-angular coupling in self phase modulation with structured light
• Gouy-phase effects in the frequency combs of an optical parametric oscillator
• Angular Momentum Supercontinuum from Fibre Rings
• Poincaré sphere symmetries in four-wave mixing with orbital angular momentum
• Single-pass, second harmonic generation of ultrafast, higher order vector vortex beams at blue
• Spin to orbital angular momentum transfer in nonlinear wave mixing