Spherical harmonics expansion of the evanescent waves in angular spectrum decomposition of shaped beams

•Calculation of BSCs of an evanescent plane wave and the beam reconstruction.•Contribution of evanescent components to the beam field of a Gaussian beam.•Calculation of BSCs of the Gaussian beam including/excluding evanescent components and beam reconstruction. The angular spectrum decomposition (AS...

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Bibliographic Details
Published in:Journal of quantitative spectroscopy & radiative transfer 2020-08, Vol.251, p.107012, Article 107012
Main Authors: Wang, Chunwei, Shen, Jianqi, Ren, Kuan-Fang
Format: Article
Language:English
Subjects:
Angular spectrum decomposition
Beam shape coefficient
Electromagnetism
Engineering Sciences
Evanescent wave
Optics
Physics
Shaped beam
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Summary:•Calculation of BSCs of an evanescent plane wave and the beam reconstruction.•Contribution of evanescent components to the beam field of a Gaussian beam.•Calculation of BSCs of the Gaussian beam including/excluding evanescent components and beam reconstruction. The angular spectrum decomposition (ASD) is a powerful tool for analyzing the interaction between spherical particles and shaped beams, in which homogeneous plane waves and/or evanescent waves are expanded into series of vector spherical harmonics (VSH). The paper presents a numerical study on the VSH expansion of the evanescent wave and its behavior in the field reconstruction of the shaped beam. It is revealed that the beam shape coefficients (BSCs) of the evanescent waves increase exponentially along the increasing partial wave number, consequently extending the convergence of the series and restricting the field reconstruction into a limited space.
ISSN:0022-4073
1879-1352
DOI:10.1016/j.jqsrt.2020.107012