Degenerate four-wave mixing of optical vortices assisted by self-phase and cross-phase modulation

G. Maleshkov; P. Hansinger; I. L. Garanovich; D. Skryabin; D. N. Neshev; A. Dreischuh; G. G. Paulus

doi:10.1117/12.881860

17 January 2011 Degenerate four-wave mixing of optical vortices assisted by self-phase and cross-phase modulation

G. Maleshkov, P. Hansinger, I. L. Garanovich, D. Skryabin, D. N. Neshev, A. Dreischuh, G. G. Paulus

Proceedings Volume 7747, 16th International School on Quantum Electronics: Laser Physics and Applications; 77471E (2011) https://doi.org/10.1117/12.881860
Event: XVI International School on Quantum Electronics: Laser Physics and Applications, 2010, Nessebar, Bulgaria

Abstract

We study theoretically the non-phase-matched degenerate four-wave mixing of type ω_s = 2ω₁ ωω₂ , involving beams carrying two-dimensional spatial phase dislocations in the form of singly-charged optical vortices (OVs). Accompanying third-order nonlinear processes in the non-resonant nonlinear medium (NLM), which are accounted for, are self- and cross-phase modulation. In the case of pump OV beams with identical topological charges the model predicts the generation of signal beams carrying OVs of the same charge. If the pump beams carry OVs with opposite charges, the generated signals are predicted to carry triply charged vortices which, in the case of a nonnegligible initial free-space propagation from the plane of vortex generation to the NLM, decay inside the NLM into three singly-charged vortices with highly overlapping cores.

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G. Maleshkov, P. Hansinger, I. L. Garanovich, D. Skryabin, D. N. Neshev, A. Dreischuh, and G. G. Paulus "Degenerate four-wave mixing of optical vortices assisted by self-phase and cross-phase modulation", Proc. SPIE 7747, 16th International School on Quantum Electronics: Laser Physics and Applications, 77471E (17 January 2011); https://doi.org/10.1117/12.881860

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