The optical binding force (BF) of stratified chiral particles induced by Bessel beam is computed by using the Generalized Lorenz Mie theory. The axial intensity profile of such non-diffracting beams can suppress the influence of the axial intensity which then depended on the interactions between inter-particles. The arbitrarily polarized high order Bessel beam (HOBB) is described in terms of beam shape coefficients (BSCs) within the framework of generalized Lorenz-Mie theories (GLMT). We discuss the influence of the beam half-conical angles and chirality parameter in detail. Different illuminating Bessel beams with arbitrary polarizations are considered, and the corresponding BFs are analyzed. It is shown that the optical BF of stratified chiral spheres can be significantly depending on the incident beam polarizations and the interacting chiral particles handedness. In binding stratified chiral spheres, the out-layered chirality of the stratified chiral spheres should be chosen in accordance with the incident polarizations. This finding may give a recipe to understand the physical mechanism of interactions between multiple chiral stratified particles by using the analytical approach, which plays an important role in manipulating complex multi-layered chiral structures self-arrangement.
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