Local characteristics of paraxial Laguerre-Gaussian vortex beams with a zero total angular momentum

"We report a detailed study of paraxial Laguerre-Gaussian beams with a zero total angular momentum provided by opposite signs of the vortex phase singularity and circular polarization. These beams are characterized by the multi-ring structure. We have calculated analytically the components of t...

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Bibliographic Details
Published inJournal of modern optics Vol. 66; no. 20; pp. 1961 - 1972
Main Authors Ustinov, A. V., Niziev, V. G., Khonina, S. N., Karpeev, S. V.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 28.11.2019
Taylor & Francis Ltd
Subjects
Angular momentum
Circular polarization
Density
Electron beams
Gaussian beams (optics)
Integrals
Laguerre-Gaussian modes
Microparticles
Poynting vector
Ring structures
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Summary:"We report a detailed study of paraxial Laguerre-Gaussian beams with a zero total angular momentum provided by opposite signs of the vortex phase singularity and circular polarization. These beams are characterized by the multi-ring structure. We have calculated analytically the components of the Umov-Poynting vector and the angular momentum density in the focal region. The local integral characteristics associated with the Umov-Poynting vector and angular momentum density are analyzed. The main attention is paid to the characteristics of the Umov-Poynting vector components in separate rings at different values of the radial index of the Laguerre-Gaussian modes. The multi-ring structure can be used to change the trajectory of the translational rotation of the trapped microparticles. We have shown that the ratio of the local integral angular projection of the Umov-Poynting vector to its longitudinal projection is slowly increases at growth of the radial index.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340.2019.1686183