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Implementation of typical structured light beams in discrete dipole approximation for scattering problems

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Abstract

In this work, we report an implementation of typical structured light beams, including the Hermite–Gaussian beams, Laguerre–Gaussian beams, Bessel beams, and Airy beams, in the discrete dipole approximation (DDA) for scattering problems of small particles. The analytical expressions for the electric field components of these beams are presented, and the detailed processes for the implementation of these beams in DDA are given, with particular emphasis on the explicit codes. The calculated result for our codes of Gaussian beams is compared with that from the Amsterdam DDA codes, and very good agreement is observed. The internal and near-surface fields of a sphere illuminated by the typical structured light beams with different beam parameters are illustrated and discussed. Also, the intensity distributions of internal and near-surface fields as well as the scattering efficiency factor for the scattering of structured light beams as mentioned above by sphere, spheroid, and cylinder are presented. The proposed codes can be directly used for the investigation of scattering of typical structured light beams by complex particles within the framework of the DDA.

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