Debye series expansion (DSE) is employed to the analysis of radiation pressure force (RPF) exerted on biological cells induced by high-order Bessel beams (BB). The Beam Shape Coefficients (BSCs) for high-order Bessel beams are calculated using analytical expressions obtained by the Integral Localized Approximation (ILA). Different types of cells, including a real Chinese Hamster Ovary cell (CHO) and a lymphocyte which are respectively modeled by a coated and five-layered sphere, are considered. The RPF induced by high-order Bessel beams is compared with that by Gaussian beams and zeroth-order Bessel beams, and the effect of different scattering processes on RPF is studied. Numerical calculations show that high-order Bessel beams with zero central intensity can also transversely trap particle in the beam center, and some scattering processes can provide longitudinal pulling force.
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