TY - JOUR

T1 - Vector Bessel beams: General classification and scattering simulations

AU - Glukhova, Stefania A.

AU - Yurkin, Maxim A.

N1 - Funding Information: We thank Gérard Gouesbet, James A. Lock, and Vadim A. Markel for insightful discussions and Zhuyang Chen for providing the raw GLMT data plotted in Figs. and . We are also grateful to Alexander Kichigin for providing a preliminary version of the script used for extrapolation and his help in implementing Bessel beams in adda . This work is supported by the Russian Science Foundation (Grant No. 18-12-00052). Publisher Copyright: © 2022 American Physical Society.

PY - 2022/9

Y1 - 2022/9

N2 - Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains fragmentary, especially when their scattering by small particles is considered. We propose a general classification of all existing vortex Bessel beam types in an isotropic medium based on the superposition of transverse Hertz vector potentials. This theoretical framework contains duality and coordinate rotations as elementary matrix operations and naturally describes all relations between various beam types. This leads to various bases for Bessel beams and uncovers a different beam type with circularly symmetric energy density. We also discuss quadratic functionals of the fields (such as the energy density and Poynting vector) and derive orthogonality relations between various beam types. Altogether, it provides a comprehensive reference of all properties of Bessel beams that may be relevant for applications. Next, we generalize the formalism of the Mueller scattering matrices to arbitrary Bessel beams accounting for their vorticity. Finally, we implement these beams in the adda code - an open-source parallel implementation of the discrete dipole approximation. This enables easy and efficient simulation of Bessel beam scattering by particles with arbitrary shape and internal structure.

AB - Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains fragmentary, especially when their scattering by small particles is considered. We propose a general classification of all existing vortex Bessel beam types in an isotropic medium based on the superposition of transverse Hertz vector potentials. This theoretical framework contains duality and coordinate rotations as elementary matrix operations and naturally describes all relations between various beam types. This leads to various bases for Bessel beams and uncovers a different beam type with circularly symmetric energy density. We also discuss quadratic functionals of the fields (such as the energy density and Poynting vector) and derive orthogonality relations between various beam types. Altogether, it provides a comprehensive reference of all properties of Bessel beams that may be relevant for applications. Next, we generalize the formalism of the Mueller scattering matrices to arbitrary Bessel beams accounting for their vorticity. Finally, we implement these beams in the adda code - an open-source parallel implementation of the discrete dipole approximation. This enables easy and efficient simulation of Bessel beam scattering by particles with arbitrary shape and internal structure.

UR - http://www.scopus.com/inward/record.url?scp=85138174165&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/18ff7ec1-ce49-3700-9f36-150b3bcf7b12/

U2 - 10.1103/PhysRevA.106.033508

DO - 10.1103/PhysRevA.106.033508

M3 - Article

AN - SCOPUS:85138174165

VL - 106

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 3

M1 - 033508

ER -