Propagation of partially coherent vortex beams in gain media

Guo, Xin; Yang, Chen; Duan, Meiling; Guo, Miaojun; Wang, Jing; Li, Jinhong

doi:10.1016/j.ijleo.2021.167361

Cited by 7 publications

(2 citation statements)

References 40 publications

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“…The elements of the cross‐spectral density matrix of the field generated by the REGV beam in the source plane is given by 35,36

W_{ij} ((),,, {bold-italics}_{1}, {bold-italics}_{2}, 0) goodbreak= \frac{A_{i} A_{j} B_{ij}}{2^{2 m}} \sum_{r_{1} = 0}^{m} \sum_{r_{2} = 0}^{m} i^{r_{2} - r_{1}} ((), \begin{array}{c} m \\ r_{1} \end{array}) ((), \begin{array}{c} m \\ r_{2} \end{array})

goodbreak\times H_{m - r_{1}} ((), \frac{\sqrt{2} s_{1 x}}{w_{0}}) H_{m - r_{2}} ((), \frac{\sqrt{2} s_{2 x}}{w_{0}}) H_{r_{1}} ((), \frac{\sqrt{2} s_{1 y}}{w_{0}}) H_{r_{2}} ((), \frac{\sqrt{2} s_{2 y}}{w_{0}})

goodbreak\times \exp ((), goodbreak- \frac{s_{1}^{2} + s_{2}^{2}}{w_{0}^{2}}) \exp ([], goodbreak- \frac{{((), s_{1} goodbreak- s_{2})}^{2}}{2 σ_{ij}^{2}}),

where

m

denotes the number of topological charges,

A_{i}

and

A_{j}

denote the amplitude of the electric field‐vector components along x ‐direction and y ‐direction,

…”

Section: Theoretical Modelmentioning

confidence: 99%

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Polarization properties of random electromagnetic vortex beam propagating in gradient‐index fiber

Zhao

Yin

Yang

et al. 2021

Micro & Optical Tech Letters

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We built the cross-spectral density matrix elements analytical expression of random electromagnetic Gaussian vortex (REGV) beam propagating in gradient-index (GRIN) fiber, which is used to study the polarization properties of the beam. The distribution of spectral degree of polarization (SDOP) and state of polarization (SOP) show the same periodicity and symmetry. The distribution law of SDOP and SOP is unchanging with the topological charge m changing and is changed by adjusting the spatial self-correlation length σ xx . The research results have guiding significance for the propagation of random electromagnetic vortex beams in optical fibers, which could be considerable value in high-speed and large-capacity optical fiber secure communication.degree of ellipticity, gradient-index fiber, orientation angle, random electromagnetic Gaussian vortex beam, the spectral degree of polarization

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“…The elements of the cross‐spectral density matrix of the field generated by the REGV beam in the source plane is given by 35,36