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Search Results (3)

Search Parameters:
Keywords = free space nonparaxial propagation

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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 1997
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 3341
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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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 3307
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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