https://doi.org/10.1140/epjp/s13360-025-06724-z
Regular Article
Self-bending of Scorer beams controlled by an extra field
1
Department of Medical Science, Shunde Polytechnic University, 528300, Shunde, Guangdong Province, China
2
Department of Electronic Engineering, Shunde Polytechnic University, 528300, Shunde, Guangdong Province, China
3
College of Science and Engineering, Hamad Bin Khalifa University, 23874, Doha, Qatar
a
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Received:
29
May
2025
Accepted:
5
August
2025
Published online:
25
August
2025
Abstract
Controlling the transmission trajectory of a light beam, to propagate along any curve without diffraction, is an important issue in the current beam transmission theory and engineering practice. This article introduces a bending factor for the manipulation of Scorer beams, providing a novel approach to the control of non-diffractive beams. In effect, the introduction of the bending factor results in the appearance of a new one-parameter family of Scorer beams. Using the (1 + 1)-dimensional Schrödinger equation with an extra field, we analyze the influence of the bending factor on both infinite- and finite-energy Scorer beams. We display intensity distributions of the propagating Scorer beams along straight or curved lines, which are controlled by adjusting the bending factor. Our results indicate that selecting an appropriate bending factor can effectively control the non-diffracting and self-bending properties of these novel Scorer beams. This method can also be extended to other non-diffracting beams.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
