On the validity of integral localized approximation for on-axis zeroth-order Mathieu beams

摘要: Abstract In a recent paper on radiation pressure forces exerted homogenous spherical particle by zeroth-order Mathieu beams (zMBs), the integral localized approximation(ILA) was used to calculate beam shape coefficients (BSCs) encoding of beams. Unfortunately, this method is valid only for with propagating factor exp ( ± ikz). case non-diffracting propagation exp (± ikcos α z) which involves an extra-cosine term, α being axicon angle. Due term it has been demonstrated that approximations, including ILA, provide satisfactory description intended if angle small enough. Zeroth-order pertain type The present therefore devoted comparison between BSCs calculated exact procedure and those using in order determine range validity approximate procedure. As side result, we also establish closed-form expressions evaluation zMBs.