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We experimentally and theoretically study nonlinear vortex dynamics with propagation by encoding vortices into a laser beam and propagating the beam through a tank filled with methanol and carbon dust. The fluid medium allows variable path length through the tank and provides a repulsive third-order nonlinear photon-photon interaction via its thermo-optic coefficient. The emerging mode is imaged onto a CCD and interfered with a reference beam allowing measurement of amplitude and phase information by single-shot interferometry. We observed core sharpening and suppression of the annihilation of oppositely charged vortices consistent with our theoretical predictions. The repulsive third-order nonlinearity of the medium gives a direct mathematical analogy between nonlinear propagation of light and mean-field dynamics of quantum fluids.
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Patrick C. Ford, Mark Siemens, Andrew Voitiv, Mark Lusk, Chuanzhou Zhu, "Nonlinear vortex propagation in light," Proc. SPIE PC12436, Complex Light and Optical Forces XVII, PC124360E (17 March 2023); https://doi.org/10.1117/12.2650500