Comparative numerical analysis between the multipole expansion of optical force up to quadrupole terms and the generalized Lorenz–Mie theory

We explore graphical comparisons of the radiation forces calculated via the multipole expansion of optical force up to electric and magnetic quadrupole terms with the rigorous and exact generalized Lorenz–Mie theory (GLMT) on a homogeneous spherical particle. Examples are presented for a Gaussian beam in its fundamental mode and for a higher-order ideal Bessel beam. We also compute forces for a nondiffracting structured beam composed of a discrete superposition of copropagating Bessel beams with the same order and frequency, known in the literature as frozen waves. The results show a great agreement for moderately sized Mie particles, up to radius of about one-fifth the wavelength, thus suggesting an intrinsic connection between both methods and the possibility to extend recent theoretical works related to the identification between the Rayleigh limit of the GLMT and the dipole theory of forces.