Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium

The unique spatial characteristics of perfect optical vortex (POV) beams make them ideal candidates for a wide range of applications, from microparticle trapping and manipulation to optical communication. In this work, we investigate the propagation of POV beams in a strongly nonlocal nonlinear (SNN...

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Main Authors: Bikash K. Das, Camilo Granados, Marcelo F. Ciappina
Format: Article
Language:English
Published: Elsevier 2025-12-01
Series:Results in Optics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666950125000707
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author Bikash K. Das
Camilo Granados
Marcelo F. Ciappina
author_facet Bikash K. Das
Camilo Granados
Marcelo F. Ciappina
author_sort Bikash K. Das
collection DOAJ
description The unique spatial characteristics of perfect optical vortex (POV) beams make them ideal candidates for a wide range of applications, from microparticle trapping and manipulation to optical communication. In this work, we investigate the propagation of POV beams in a strongly nonlocal nonlinear (SNNL) medium. An analytical expression for the complex field amplitude is derived using the ray transfer matrix formalism and the Huygens–Fresnel integral. We numerically study how various beam and medium parameters — such as the topological charge (TC), the ratio of the beam’s ring radius (R) to its half-ring width (w0), and the nonlocal parameter (η) — affect the longitudinal intensity distribution of the POV beam. Both non-diffracting and self-focusing effects are clearly observed, accompanied by a periodic intensity distribution along the propagation axis. Increasing the TC has minimal impact on the beam profile size and intensity distribution during the non-diffracting stage. However, in the self-focusing stage, the central dark core expands monotonically with the TC. Additionally, the self-focusing effects diminish and eventually disappear as Rw0 approaches unity. For a fixed beam wavelength and waist size, the nonlocal parameter exclusively determines the periodicity of the intensity distribution, revealing an inverse relationship between periodicity and nonlocality. These findings may contribute to improved techniques in microparticle trapping and manipulation using POV beams.
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spelling doaj-art-cbe7f6cfec9b44a988914b25e3cd3ecb2025-08-20T03:09:57ZengElsevierResults in Optics2666-95012025-12-012110084210.1016/j.rio.2025.100842Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear mediumBikash K. Das0Camilo Granados1Marcelo F. Ciappina2Department of Physics, Guangdong Technion-Israel Institute of Technology, 241 Daxue Rd., Shantou, 515063, Guangdong, China; Department of Physics, Technion-Israel Institute of Technology, Haifa, 32000, Israel; Guangdong Provincial Key Laboratory of Materials and Technologies for Energy Conversion, 241 Daxue Rd., Shantou, 515063, Guangdong, ChinaEastern Institute of Technology, Ningbo, 315200, ChinaDepartment of Physics, Guangdong Technion-Israel Institute of Technology, 241 Daxue Rd., Shantou, 515063, Guangdong, China; Department of Physics, Technion-Israel Institute of Technology, Haifa, 32000, Israel; Guangdong Provincial Key Laboratory of Materials and Technologies for Energy Conversion, 241 Daxue Rd., Shantou, 515063, Guangdong, China; Corresponding author at: Department of Physics, Guangdong Technion-Israel Institute of Technology, 241 Daxue Rd., Shantou, 515063, Guangdong, China.The unique spatial characteristics of perfect optical vortex (POV) beams make them ideal candidates for a wide range of applications, from microparticle trapping and manipulation to optical communication. In this work, we investigate the propagation of POV beams in a strongly nonlocal nonlinear (SNNL) medium. An analytical expression for the complex field amplitude is derived using the ray transfer matrix formalism and the Huygens–Fresnel integral. We numerically study how various beam and medium parameters — such as the topological charge (TC), the ratio of the beam’s ring radius (R) to its half-ring width (w0), and the nonlocal parameter (η) — affect the longitudinal intensity distribution of the POV beam. Both non-diffracting and self-focusing effects are clearly observed, accompanied by a periodic intensity distribution along the propagation axis. Increasing the TC has minimal impact on the beam profile size and intensity distribution during the non-diffracting stage. However, in the self-focusing stage, the central dark core expands monotonically with the TC. Additionally, the self-focusing effects diminish and eventually disappear as Rw0 approaches unity. For a fixed beam wavelength and waist size, the nonlocal parameter exclusively determines the periodicity of the intensity distribution, revealing an inverse relationship between periodicity and nonlocality. These findings may contribute to improved techniques in microparticle trapping and manipulation using POV beams.http://www.sciencedirect.com/science/article/pii/S2666950125000707Perfect optical vortex beamNon-linear non-local mediumTopological chargeOrbital angular momentum
spellingShingle Bikash K. Das
Camilo Granados
Marcelo F. Ciappina
Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
Results in Optics
Perfect optical vortex beam
Non-linear non-local medium
Topological charge
Orbital angular momentum
title Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
title_full Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
title_fullStr Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
title_full_unstemmed Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
title_short Propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
title_sort propagation of perfect optical vortex beams in a strongly nonlocal nonlinear medium
topic Perfect optical vortex beam
Non-linear non-local medium
Topological charge
Orbital angular momentum
url http://www.sciencedirect.com/science/article/pii/S2666950125000707
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