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Tight focusing Lorenz–Gaussian vortex beams modulated by power order space-variant phase

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Abstract

The aim of this paper is to investigate the focusing properties of linearly polarized Lorenz–Gaussian vortex beams modulated with power order space-variant (POSV) phase, which is based on vector diffraction theory. The results show that the shape of focal spot can be adjusted by changing the POSV parameter \(n\). In addition, the adjustable phase parameter \(C\) can flexibly control the position of the focus on the \(X\)-axis. Immediately after that, it is revealed that with the increase of topological charge number \(m\), the focused pattern can be separated along \(y = x\) direction. Even more interesting is the fact that the waist width \(\omega \) is inversely proportional to the length of the bar focusing peak. Specifically, when the value of waist width \(\omega \) is increased, the length of the strip-shaped focusing peak is continuously shortened. And the value of \(NA\) is inversely proportional to the size of the circular spot. A range of focal properties were acquired through the introduction of a space-variant phase with a power order. These new properties hold potential applications within various fields, including particle manipulation, optical modulation, and particle confinement.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Funding

This work was supported by [Special project of national quality infrastructure system: research on key measurement and testing technology of artificial intelligence multi-modal perception] (Grant numbers [2021YFF0600204]). Author Shuo Li has received research support from National Institute of Metrology, Beijing 10029, China.

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Authors and Affiliations

  1. College of Optics and Electronic, China Jiliang University, Hangzhou, 310018, People’s Republic of China

    Shuo Li & Jinsong Li

  2. National Institute of Metrology, Beijing, 10029, China

    Guojin Feng

Authors
  1. Shuo Li
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  2. Jinsong Li
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  3. Guojin Feng
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Contributions

Shuo Li: Conceptualization, Writing—original draft, Writing—review & editing. Jinsong Li: Methodology, Validation, Visualization. Guojin Feng: Supervision.

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Correspondence to Jinsong Li.

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Li, S., Li, J. & Feng, G. Tight focusing Lorenz–Gaussian vortex beams modulated by power order space-variant phase. Opt Quant Electron 56, 731 (2024). https://doi.org/10.1007/s11082-024-06359-x

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