Generation of polarization vortex beams by segmented quarter-wave plates

Jingtao Xin; Xiaoping Lou; Zhehai Zhou; Mingli Dong; Lianqing Zhu

doi:10.3788/COL201614.070501

Journals >Chinese Optics Letters >Volume 14 >Issue 7 >Page 070501 > Article

Chinese Optics Letters
Vol. 14, Issue 7, 070501 (2016)

Generation of polarization vortex beams by segmented quarter-wave plates

Jingtao Xin¹, Xiaoping Lou², Zhehai Zhou², Mingli Dong², and Lianqing Zhu^1、2、*

Author Affiliations

¹Beijing Engineering Research Center of Optoelectronic Information and Instruments, Beijing Information Science and Technology University, Beijing 100192, China

²Beijing Key Laboratory of Optoelectronic Measurement Technology, Beijing Information Science and Technology University, Beijing 100192, China

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DOI: 10.3788/COL201614.070501 Cite this Article Set citation alerts

Jingtao Xin, Xiaoping Lou, Zhehai Zhou, Mingli Dong, Lianqing Zhu. Generation of polarization vortex beams by segmented quarter-wave plates[J]. Chinese Optics Letters, 2016, 14(7): 070501 Copy Citation Text

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Abstract

A spatially variable retardation device, an SQWP, is designed to generate polarization vortex beams. The transformation of Laguerre–Gaussian beams by the SQWP is further studied, and it is found that the SQWPs can also be used to generate helical beams and measure the topological charges of helical beams.

J_{m} (ϕ) = \sum_{n = 1}^{M} [\begin{matrix} A_{n} (θ) & B_{n} (θ) \\ C_{n} (θ) & D_{n} (θ) \end{matrix}] {\begin{cases} A_{m} (θ) = \cos^{2} m ϕ_{n} (θ) + i \sin^{2} m ϕ_{n} (θ) \\ B_{m} (θ) = \sin m ϕ_{n} (θ) \cos m ϕ_{n} (θ) (1 - i) \\ C_{m} (θ) = \sin m ϕ_{n} (θ) \cos m ϕ_{n} (θ) (1 - i) \\ D_{m} (θ) = \sin^{2} m ϕ_{n} (θ) + i \cos^{2} m ϕ_{n} (θ) \end{cases},

(1)

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J_{m} (θ) = [\begin{matrix} \cos^{2} m θ + i \sin^{2} m θ & \sin m θ \cos m θ (1 - i) \\ \sin m θ \cos m θ (1 - i) & \sin^{2} m θ + i \cos^{2} m θ \end{matrix}] .

(2)

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E_{out} (ϕ) = J_{m} (θ) \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ i \end{matrix}] = [\begin{matrix} \cos (m θ - π / 4) \\ \sin (m θ - π / 4) \end{matrix}] \exp (i m θ) .

(3)

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E_{out} (ϕ) = J_{m} (ϕ) \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ i \end{matrix}] \exp (- i m ϕ) = [\begin{matrix} \cos (m ϕ - π / 4) \\ \sin (m ϕ - π / 4) \end{matrix}] .

(4)

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{E⃗}_{out} = J_{m} (ϕ) \exp (in ϕ) \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ i \end{matrix}] = \frac{1}{2} ([\begin{matrix} 1 \\ i \end{matrix}] \exp (i (n ϕ + π / 4)) + [\begin{matrix} 1 \\ - i \end{matrix}] \exp (i ((2 m + n) ϕ - π / 4))) .

(5)

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Jingtao Xin, Xiaoping Lou, Zhehai Zhou, Mingli Dong, Lianqing Zhu. Generation of polarization vortex beams by segmented quarter-wave plates[J]. Chinese Optics Letters, 2016, 14(7): 070501

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