Mode selective coupler for optical vortices generation (Invited Paper)

Xiaoqiang Zhang; Ruishan Chen; Yong Zhou; Hai Ming; Anting Wang

doi:10.3788/COL201715.030008

Journals >Chinese Optics Letters >Volume 15 >Issue 3 >Page 030008 > Article

Chinese Optics Letters
Vol. 15, Issue 3, 030008 (2017)

Mode selective coupler for optical vortices generation (Invited Paper)

Xiaoqiang Zhang, Ruishan Chen, Yong Zhou, Hai Ming, and Anting Wang^*

Author Affiliations

Department of Optics and Optical Engineering, University of Science and Technology of China, Hefei 230026, China

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DOI: 10.3788/COL201715.030008 Cite this Article Set citation alerts

Xiaoqiang Zhang, Ruishan Chen, Yong Zhou, Hai Ming, Anting Wang, "Mode selective coupler for optical vortices generation (Invited Paper)," Chin. Opt. Lett. 15, 030008 (2017) Copy Citation Text

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Abstract

In this Letter, an effective method using a mode selective coupler (MSC), which is composed of a three-core fiber is presented to generate optical vortices (OVs). The conversions of OVs with different topological charges,

0 \to \pm 1

and

0 \to \pm 3

, are simulated in detail. We also prove that a higher-order topological charge can be obtained simply by changing the parameters of the fiber to increase the number of modes in the fiber. The polarization of OVs can be controlled as well.

C = {(- 1)}^{l_{1}} \frac{2 \sqrt{2} k ρ_{1} Δ_{1} u_{1} u_{2} n_{co}}{ρ_{2} v_{2} v_{1}^{3}} \times \frac{K_{l_{1}} (w_{2} d / ρ_{2})}{K_{1} (w_{2}) \sqrt{K_{l_{1} - 1} (w_{1}) K_{l_{1} + 1} (w_{1})}} \cos (l_{1} α),

(1)

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C_{R} = {(- 1)}^{l_{1}} \frac{2 \sqrt{2} k ρ_{1} Δ_{1} u_{1} u_{2} n_{co}}{ρ_{2} v_{2} v_{1}^{3}} \times \frac{K_{l_{1}} (w_{2} d / ρ_{2})}{K_{1} (w_{2}) \sqrt{K_{l_{1} - 1} (w_{1}) K_{l_{1} + 1} (w_{1})}},

(2)

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C_{12} = C_{R} \cos [l_{1} (α - θ)],

(3)

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C_{13} = C_{R} \cos (l_{1} α) .

(4)

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z_{c} = \frac{π}{2 C_{R}} .

(5)

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{LP}_{11}^{c y} + {LP}_{11}^{s y} = F_{11} (r) / \sqrt{2} \sin (φ + \frac{π}{4}) \overset{⇀}{y},

(6)

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{LP}_{11}^{c y} + i {LP}_{11}^{s y} = F_{11} (r) e^{i φ} \overset{⇀}{y},

(7)

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{LP}_{11}^{c y} - i {LP}_{11}^{s y} = F_{11} (r) e^{- i φ} \overset{⇀}{y},

(8)

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{LP}_{11}^{c x} \pm i {LP}_{11}^{s x} = F_{11} (r) e^{\pm i φ} \overset{⇀}{x} .

(9)

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{LP}_{11}^{c} (\overset{⇀}{x} + i \overset{⇀}{y}) \pm i {LP}_{11}^{s} (\overset{⇀}{x} + i \overset{⇀}{y}) = F_{11} (r) e^{\pm i φ} (\overset{⇀}{x} + i \overset{⇀}{y}) .

(10)

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{LP}_{31}^{c y} \pm i {LP}_{31}^{s y} = F_{31} (r) e^{\pm i 3 φ} \overset{⇀}{y} .

(11)

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Xiaoqiang Zhang, Ruishan Chen, Yong Zhou, Hai Ming, Anting Wang, "Mode selective coupler for optical vortices generation (Invited Paper)," Chin. Opt. Lett. 15, 030008 (2017)

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