https://doi.org/10.1140/epjp/s13360-023-04694-8
Regular Article
Propagation of Tricomi beams in a gradient-index medium
Department of Applied Physics, East China Jiaotong University, 330013, Nanchang, China
Received:
18
September
2023
Accepted:
15
November
2023
Published online:
30
November
2023
Based on the generalized Huygens-Fresnel diffraction theory and ABCD transfer theory, analytical expression for a newly proposed Tricomi beam propagating through a gradient-index medium is derived. The targeted beam’s propagation trajectory, intensity profile, and phase distribution are investigated. Impact of the beam’s complex parameters α and β, and topological charge n on the propagation properties are discussed in detail. It is shown that by selecting appropriate complex parameters α and β, Tricomi beams can degenerate into standard, asymmetric, off-axis Bessel beams, or sheet beams. While propagating in a gradient-index medium, Tricomi beams would be focused at two singularities within one period L, and go through periodic propagation. After passing the singularity, the transverse intensity pattern reconstructs itself and experiences symmetric inversion. Furthermore, propagation trajectory of the superimposed beam becomes visible and the main lobe splits. As the topological charge n increases, the peak intensity gradually diminishes, and meanwhile, the peak intensity position undergoes a shift. These findings presented in this article are of significant importance for prospective applications in the field of optical control, trapping, and optical communication.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
