Curvilinear Poincar&#233; vector beams

Zheng Yuan; Yuan Gao; Zhuang Wang; Hanchao Sun; Chenliang Chang; Xi-Lin Wang; Jianping Ding; Hui-Tian Wang

doi:10.3788/COL202119.032602

Journals >Chinese Optics Letters >Volume 19 >Issue 3 >Page 032602 > Article

Chinese Optics Letters
Vol. 19, Issue 3, 032602 (2021)

Curvilinear Poincaré vector beams

Zheng Yuan, Yuan Gao, Zhuang Wang, Hanchao Sun, Chenliang Chang, Xi-Lin Wang, Jianping Ding^*, and Hui-Tian Wang

Author Affiliations

National Laboratory of Solid Microstructure and School of Physics, Nanjing University, Nanjing 210093, China

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DOI: 10.3788/COL202119.032602 Cite this Article Set citation alerts

Zheng Yuan, Yuan Gao, Zhuang Wang, Hanchao Sun, Chenliang Chang, Xi-Lin Wang, Jianping Ding, Hui-Tian Wang. Curvilinear Poincaré vector beams[J]. Chinese Optics Letters, 2021, 19(3): 032602 Copy Citation Text

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Abstract

We develop a method for completely shaping optical vector beams with controllable amplitude, phase, and polarization gradients along three-dimensional freestyle trajectories. We design theoretically and demonstrate experimentally curvilinear Poincaré vector beams that exhibit high intensity gradients and accurate state of polarization prescribed along the beam trajectory.

Keywords

diffraction laser beam shaping polarization

H (x, y) = \int_{0}^{T} g (t) ψ (x, y, t) φ (x, y, t) d t .

(1)

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{\begin{cases} g (t) = α (t) \exp [i ϕ (t)] \sqrt{x_{0}^{'} {(t)}^{2} + y_{0}^{'} {(t)}^{2} + z_{0}^{'} {(t)}^{2},} \\ ψ (x, y, t) = \exp {- \frac{i}{w_{0}^{2}} [x y_{0} (t) + y x_{0} (t)]}, \\ φ (x, y, t) = \exp [i π \frac{x^{2} + y^{2}}{λ f^{2}} z_{0} (t)], \end{cases}

(2)

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\hat{p} (2 χ, 2 ϕ) = \sin (χ + \frac{π}{4}) \exp (- j ϕ) {\hat{e}}_{r} + \cos (χ + \frac{π}{4}) \exp (j ϕ) {\hat{e}}_{l},

(3)

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{\begin{cases} x_{0} (t) = S_{1} = S_{0} \cos 2 χ \cos 2 ϕ, \\ y_{0} (t) = S_{2} = S_{0} \cos 2 χ \sin 2 ϕ \\ z_{0} (t) = S_{3} = S_{0} \sin 2 χ, \end{cases},

(4)

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H (x, y) = H_{1} (x, y) \exp (i 2 π x \sin θ_{x} / λ) + H_{2} (x, y) \exp (i 2 π x \sin θ_{y} / λ) .

(5)

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Zheng Yuan, Yuan Gao, Zhuang Wang, Hanchao Sun, Chenliang Chang, Xi-Lin Wang, Jianping Ding, Hui-Tian Wang. Curvilinear Poincaré vector beams[J]. Chinese Optics Letters, 2021, 19(3): 032602

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