We demonstrate an all-fiber transverse self-accelerating Bessel-like beam generator and its optical trapping application. The theoretical and experimental studies have been provided to verify this beam properties. We produce the Bessel-like beam by splicing the single-mode fiber and multimode fiber with a defined offset and then modulating the output light beam phase by fabricating a small hemispherical-lens fiber tip; therefore, the phase-modulated Bessel-like beam generates the properties of transverse self-accelerating. The transverse acceleration of the Bessel-like beam generated here is ～10~(-4) μm~(-1), which is almost 100 times larger than that of the beam generated in the free-space optical circuit based on the lens. The experimental and simulated results have good consistencies. The realization of the microparticle transverse acceleration transporting with this Bessel-like beam provides a new method for microparticles to be transported in a bending trajectory. This all-fiber transverse self-accelerating Bessel-like beam generator structure is simple, with high integration and small size, and constitutes a new development for high-precision biological cell experiments and manipulations.
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