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Search Results (6)

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Keywords = nonparaxial propagation

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15 pages, 5176 KiB  
Article
Asymmetries Caused by Nonparaxiality and Spin–Orbit Interaction during Light Propagation in a Graded-Index Medium
by Nikolai I. Petrov
Symmetry 2024, 16(1), 87; https://doi.org/10.3390/sym16010087 - 10 Jan 2024
Viewed by 1316
Abstract
Spin–orbit coupling and nonparaxiality effects during the propagation of vortex vector light beams in a cylindrical graded-index waveguide are investigated by solving the full three-component field Maxwell’s equations. Symmetry-breaking effects for left- and right-handed circularly polarized vortex light beams propagating in a rotationally [...] Read more.
Spin–orbit coupling and nonparaxiality effects during the propagation of vortex vector light beams in a cylindrical graded-index waveguide are investigated by solving the full three-component field Maxwell’s equations. Symmetry-breaking effects for left- and right-handed circularly polarized vortex light beams propagating in a rotationally symmetric graded-index optical fiber are considered. The mode-group delay in a graded-index fiber due to spin–orbit interaction is demonstrated. A scheme for observing the temporal spin Hall effect is proposed. It is shown that the relative delay times between vortex pulses of opposite circular polarizations of the order of 10 ps/km can be observed in graded-index fibers for high-order topological charges. Full article
(This article belongs to the Special Issue Physics and Symmetry Section: Feature Papers 2023)
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16 pages, 2957 KiB  
Article
Nonparaxial Propagation of Bessel Correlated Vortex Beams in Free Space
by Nikolai I. Petrov
Micromachines 2023, 14(1), 38; https://doi.org/10.3390/mi14010038 - 23 Dec 2022
Cited by 3 | Viewed by 1995
Abstract
The nonparaxial propagation of partially coherent beams carrying vortices in free space is investigated using the method of decomposition of the incident field into coherent diffraction-free modes. Modified Bessel correlated vortex beams with the wavefront curvature are introduced. Analytical expressions are presented to [...] Read more.
The nonparaxial propagation of partially coherent beams carrying vortices in free space is investigated using the method of decomposition of the incident field into coherent diffraction-free modes. Modified Bessel correlated vortex beams with the wavefront curvature are introduced. Analytical expressions are presented to describe the intensity distribution and the degree of coherence at different distances. The evolution of the intensity distribution during beam propagation for various source parameters is analyzed. The effects of nonparaxiality in the propagation of tightly focused coherent vortex beams are analyzed. Full article
(This article belongs to the Special Issue Non-diffractive Beams for the State of the Art Applications)
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16 pages, 1980 KiB  
Article
Depolarization of Vector Light Beams on Propagation in Free Space
by Nikolai Petrov
Photonics 2022, 9(3), 162; https://doi.org/10.3390/photonics9030162 - 6 Mar 2022
Cited by 12 | Viewed by 3330
Abstract
Nonparaxial propagation of the vector vortex light beams in free space was investigated theoretically. Propagation-induced polarization changes in vector light beams with different spatial intensity distributions were analyzed. It is shown that the hybrid vector Bessel modes with polarization-OAM (orbital angular momentum) entanglement [...] Read more.
Nonparaxial propagation of the vector vortex light beams in free space was investigated theoretically. Propagation-induced polarization changes in vector light beams with different spatial intensity distributions were analyzed. It is shown that the hybrid vector Bessel modes with polarization-OAM (orbital angular momentum) entanglement are the exact solutions of the vector Helmholtz equation. Decomposition of arbitrary vector beams in the initial plane z = 0 into these polarization-invariant beams with phase and polarization singularities was used to analyze the evolution of the polarization of light within the framework of the 2 × 2 coherency matrix formalism. It is shown that the 2D degree of polarization decreases with distance if the incident vector beam is not the modal solution. The close relationship of the degree of polarization with the quantum-mechanical purity parameter is emphasized. Full article
(This article belongs to the Special Issue Polarized Light and Optical Systems)
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15 pages, 3895 KiB  
Article
Fast 3D Content Update for Wide-Angle Holographic Near-Eye Display
by Rafał Kukołowicz, Maksymilian Chlipala, Juan Martinez-Carranza, Moncy Sajeev Idicula and Tomasz Kozacki
Appl. Sci. 2022, 12(1), 293; https://doi.org/10.3390/app12010293 - 29 Dec 2021
Cited by 6 | Viewed by 2611
Abstract
Near-eye holographic displays are the holy grail of wear-on 3D display devices because they are intended to project realistic wide-angle virtual scenes with parameters matching human vision. One of the key features of a realistic perspective is the ability to move freely around [...] Read more.
Near-eye holographic displays are the holy grail of wear-on 3D display devices because they are intended to project realistic wide-angle virtual scenes with parameters matching human vision. One of the key features of a realistic perspective is the ability to move freely around the virtual scene. This can be achieved by addressing the display with wide-angle computer-generated holograms (CGHs) that enable continuous viewpoint change. However, to the best of our knowledge there is no technique able to generate these types of content. Thus, in this work we propose an accurate and non-paraxial hologram update method for wide-angle CGHs that supports continuous viewpoint change around the scene. This method is based on the assumption that with a small change in perspective, two consecutive holograms share overlapping data. This enables reusing the corresponding part of the information from the previous view, eliminating the need to generate an entirely new hologram. Holographic information for the next viewpoint is calculated in two steps: first, a tool approximating the Angular Spectrum Propagation is proposed to generate the hologram data from previous viewpoint; and second, the efficient Phase Added Stereogram algorithm is utilized for generating the missing hologram content. This methodology offers fast and accurate calculations at the same time. Numerical and optical experiments are carried out to support the results of the proposed method. Full article
(This article belongs to the Special Issue Advanced Digital Holographic Technology: Imaging Methods and Devices Construction)
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17 pages, 7827 KiB  
Article
Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space
by Lina Guo, Li Chen, Rong Lin, Minghui Zhang, Yiming Dong, Yahong Chen and Yangjian Cai
Appl. Sci. 2019, 9(5), 997; https://doi.org/10.3390/app9050997 - 10 Mar 2019
Cited by 5 | Viewed by 3303
Abstract
A specially correlated radially polarized (SCRP) beam with unusual physical properties on propagation in the paraxial regime was introduced and generated recently. In this paper, we extend the paraxial propagation of an SCRP beam to the nonparaxial regime. The closed-form 3 × 3 [...] Read more.
A specially correlated radially polarized (SCRP) beam with unusual physical properties on propagation in the paraxial regime was introduced and generated recently. In this paper, we extend the paraxial propagation of an SCRP beam to the nonparaxial regime. The closed-form 3 × 3 cross-spectral density matrix of a nonparaxial SCRP beam propagating in free space is derived with the aid of the generalized Rayleigh–Sommerfeld diffraction integral. The statistical properties, such as average intensity, degree of polarization, and spectral degree of coherence, are studied comparatively for the nonparaxial SCRP beam and the partially coherent radially polarized (PCRP) beam with a conventional Gaussian–Schell-model correlation function. It is found that the nonparaxial properties of an SCRP beam are strikingly different from those of a PCRP beam. These nonparaxial properties are closely related to the correlation functions and the beam waist width. Our results may find potential applications in beam shaping and optical trapping in nonparaxial systems. Full article
(This article belongs to the Special Issue Recent Advances in Statistical Optics and Plasmonics)
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9 pages, 1220 KiB  
Article
Three-Dimensional Optical Spin Angular Momentum Flux of a Vector Beam with Radially-Variant Polarization in Near Field
by Ying Guan, Li-Xin Zhong, Chaoyang Qian and Rui-Pin Chen
Appl. Sci. 2019, 9(5), 960; https://doi.org/10.3390/app9050960 - 7 Mar 2019
Cited by 3 | Viewed by 3017
Abstract
The near-field characteristics of a radially-variant vector beam (RVVB) are analyzed by using the vectorial angular spectrum method. The non-paraxial RVVB can be decomposed into the propagating wave and the evanescent wave in near field. The coherent superposition of the longitudinal and transverse [...] Read more.
The near-field characteristics of a radially-variant vector beam (RVVB) are analyzed by using the vectorial angular spectrum method. The non-paraxial RVVB can be decomposed into the propagating wave and the evanescent wave in near field. The coherent superposition of the longitudinal and transverse components of the RVVB results in a three-dimensional (3D) profile of the spin angular momentum flux density (SAM-FD). The evanescent wave part dominates the near field of a highly non-paraxial RVVB. The longitudinal component has a large impact on the 3D shape of the optical SAM-FD. Therefore, the 3D SAM-FD configuration of the RVVB can be manipulated by choosing the initial states of polarization arrangement. In particular, the transverse SAM-FD with a spin axis orthogonal to the propagation direction offers a promising range of applications spanning from nanophotonics and plasmonics to biophotonics. Full article
(This article belongs to the Special Issue Recent Advances in Statistical Optics and Plasmonics)
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