Analytical partial wave expansion of vector Bessel beam and its application to optical binding

Explicit partial wave coefficients are derived for nondiffractive vector Bessel beam of arbitrary order and polarization. Calculations based on the analytical partial wave expansion yield results that agree well with recent numerical calculations and experiments on optical binding. We have also investigated how one can tailor the interparticle interaction by overlaying different coatings. It is found that the Ag and low dielectric coating can increase the number of equilibrium positions, whereas the antireflection coating reduces it.