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We propose a method of rotation of higher-order Bessel light beams based on controlling phase difference between the interfering Bessel beam and a super-Gaussian or annular beam coaxial with it. TO realize the optically-controlled rotation of light field, a phase modulator based on quadratic or cubic nonlinearities can be used.
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Peter A. Khilo, Larisa I. Kramoreva, Nikolay A. Khilo, "Optically controlled rotation of multibeam light field," Proc. SPIE 4358, Optics of Crystals, (15 March 2001); https://doi.org/10.1117/12.418863