
Mie scattering of highly focused, scalar fields: an analytic approach
Author(s) -
Nicole J. Moore,
Miguel A. Alonso
Publication year - 2016
Publication title -
journal of the optical society of america. a, optics, image science, and vision./journal of the optical society of america. a, online
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 158
eISSN - 1520-8532
pISSN - 1084-7529
DOI - 10.1364/josaa.33.001236
Subject(s) - physics , orthonormal basis , helmholtz equation , mie scattering , scattering , scalar (mathematics) , laguerre polynomials , gaussian beam , helmholtz free energy , light scattering , classical mechanics , optics , beam (structure) , quantum mechanics , mathematics , boundary value problem , geometry
We present a method for modeling the scattering of a focused scalar field incident on a spherical particle. This approach involves the expansion of the incident field in an orthonormal basis of closed-form solutions of the Helmholtz equation which are nonparaxial counterparts of Laguerre-Gaussian beams. This method also allows for the analytic calculation of the forces and torques exerted on a particle at any position with respect to the beam's focus.