Abstract
We use the theory of scattering of a focused Hermite-Gaussian-mode beam by a rotating sphere to obtain the analytic formulas of radiation force, which include the correction terms of up to first order in angular velocities of the sphere. We also numerically investigate the effect of the first-order terms exerted on the net radiation force for spherical particles (near structural resonances) positioned on and off the propagation axis of a circularly polarized Gaussian laser beam. Numerical results show that the first-order correction for a rotating sphere levitated in the 1 W argon-ion laser beam is one or two orders of magnitude below the zeroth-order force at the highest rotational frequency of Ω≃1.5 GHz.