Conversion between polarization states based on a metasurface

Shuyun Teng; Qi Zhang; Han Wang; Lixia Liu; Haoran Lv

doi:10.1364/PRJ.7.000246

Journals >Photonics Research >Volume 7 >Issue 3 >Page 246 > Article

Photonics Research
Vol. 7, Issue 3, 246 (2019)

Conversion between polarization states based on a metasurface

Shuyun Teng^*, Qi Zhang, Han Wang, Lixia Liu, and Haoran Lv

Author Affiliations

Shandong Provincial Key Laboratory of Optics and Photonic Device & School of Physics and Electronics, Shandong Normal University, Jinan 250014, China

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DOI: 10.1364/PRJ.7.000246 Cite this Article Set citation alerts

Shuyun Teng, Qi Zhang, Han Wang, Lixia Liu, Haoran Lv. Conversion between polarization states based on a metasurface[J]. Photonics Research, 2019, 7(3): 246 Copy Citation Text

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Abstract

Transmission of an anisotropic metasurface is analyzed in a polar base relying on the Jones calculus, and polarization conversion from the spatial uniform polarization to the spatial nonuniform polarization is explored. Simple and compact polarization converters based on rectangular holes or cross holes etched in silver film are designed, and polarization conversions from the linear and circular polarization to the radial and azimuthal polarization are realized. Numerical simulations of three designed polarization converters consisting of rectangular holes equivalent to polarizers and quarter- and half-wave plates, exhibit the perfect polarization conversion. The experiment results consistent with the simulations verify theoretic predictions. This study is helpful for designing metasurface polarization converters and expanding the application of a metasurface in polarization manipulations.

i = (\begin{array}{l} i_{x} \\ i_{y} \end{array}), t = (\begin{array}{l} t_{x} \\ t_{y} \end{array}),

(1)

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(\begin{array}{l} t_{x} \\ t_{y} \end{array}) = (\begin{matrix} T_{x x} & T_{y x} \\ T_{x y} & T_{y y} \end{matrix}) (\begin{array}{l} i_{x} \\ i_{y} \end{array}),

(2)

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{(\begin{array}{l} t_{1} \\ t_{2} \end{array})}_{p} = Λ_{p}^{- 1} (\begin{matrix} T_{x x} & T_{y x} \\ T_{x y} & T_{y y} \end{matrix}) Λ_{p} {(\begin{array}{l} i_{1} \\ i_{2} \end{array})}_{p} .

(3)

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Λ_{p} = (\begin{matrix} \cos φ & - \sin φ \\ \sin φ & \cos φ \end{matrix}), Λ_{p}^{- 1} = (\begin{matrix} \cos φ & \sin φ \\ - \sin φ & \cos φ \end{matrix}) .

(4)

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T = (\begin{matrix} a_{x} \cos^{2} α + a_{y} \sin^{2} α e^{j δ} & (a_{x} - a_{y} e^{j δ}) \sin α \cos α \\ (a_{x} - a_{y} e^{j δ}) \sin α \cos α & a_{x} \sin^{2} α + a_{y} \cos^{2} α e^{j δ} \end{matrix}),

(5)

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t_{p} = \frac{1}{2} (\begin{array}{l} A i_{1} + B i_{1} \cos 2 (α - φ) + B i_{2} \sin 2 (α - φ) \\ B i_{1} \sin 2 (α - φ) + A i_{2} - B i_{2} \cos 2 (α - φ) \end{array}),

(6)

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t_{p} = \frac{1}{2} (\begin{array}{l} 2 i_{1} \cos^{2} (α - φ) + i_{2} \sin 2 (α - φ) \\ i_{1} \sin 2 (α - φ) + 2 i_{2} \sin^{2} (α - φ) \end{array}) .

(7)

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t_{p} = \frac{\sqrt{2}}{2} e^{j \frac{π}{4}} (\begin{array}{l} i_{1} - j i_{1} \cos 2 (α - φ) - j i_{2} \sin 2 (α - φ) \\ i_{2} - j i_{1} \sin 2 (α - φ) + j i_{2} \cos 2 (α - φ) \end{array}) .

(8)

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t_{p} = (\begin{array}{l} i_{1} \cos 2 (α - φ) + i_{2} \sin 2 (α - φ) \\ i_{1} \sin 2 (α - φ) - i_{2} \cos 2 (α - φ) \end{array}) .

(9)

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Shuyun Teng, Qi Zhang, Han Wang, Lixia Liu, Haoran Lv. Conversion between polarization states based on a metasurface[J]. Photonics Research, 2019, 7(3): 246

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