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17 January 2011Degenerate four-wave mixing of optical vortices assisted by self-phase and cross-phase modulation
We study theoretically the non-phase-matched degenerate four-wave mixing of type ωs = 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, 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);