Tunable polarization holographic gratings obtained by varying the ratio of intensities of the recording beams

Hong Chen; Ziyao Lyu; Changshun Wang

doi:10.1364/PRJ.502730

Journals >Photonics Research >Volume 12 >Issue 4 >Page 749 > Article

Photonics Research
Vol. 12, Issue 4, 749 (2024)

Tunable polarization holographic gratings obtained by varying the ratio of intensities of the recording beams

Hong Chen¹, Ziyao Lyu², and Changshun Wang^1、*

Author Affiliations

¹State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

²State Key Laboratory of Space-Ground Integrated Information Technology, Beijing Institute of Satellite Information Engineering, Beijing 100095, China

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DOI: 10.1364/PRJ.502730 Cite this Article Set citation alerts

Hong Chen, Ziyao Lyu, Changshun Wang. Tunable polarization holographic gratings obtained by varying the ratio of intensities of the recording beams[J]. Photonics Research, 2024, 12(4): 749 Copy Citation Text

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Abstract

Polarization holography has been extensively applied in many fields, such as optical science, metrology, and biochemistry, due to its property of polarization modulation. However, the modulated polarization state of diffracted light corresponds strictly to that of incident light one by one. Here, a kind of tunable polarization holographic grating has been designed in terms of Jones matrices, and intensity-based polarization manipulation has been realized experimentally. The proposed tunable polarization holographic grating is recorded on an azobenzene liquid-crystalline film by a pair of coherent light beams with orthogonal polarization states and asymmetrically controlled intensities. It is found that the diffracted light can be actively manipulated from linearly to circularly polarized based on the light intensity of the recording holographic field when the polarization state of incident light keeps constant. Our work could enrich the field of light manipulation and holography.

n = (\begin{matrix} n_{0} + r_{‖} a^{2} + r_{⊥} b^{2} & 0 \\ 0 & n_{0} + r_{⊥} a^{2} + r_{‖} b^{2} \end{matrix}),

(1)

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\bar{r} = (r_{‖} + r_{⊥}) / 2, Δ r = (r_{‖} - r_{⊥}) / 2 .

(2)

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R = (\begin{matrix} \cos α & \sin α \\ - \sin α & \cos α \end{matrix}) .

(3)

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S_{0} = (a^{2} + b^{2}), S_{1} = (a^{2} - b^{2}) \cos (2 α), S_{2} = (a^{2} - b^{2}) \sin (2 α), S_{3} = 2 a b .

(4)

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n_{1} = (\begin{matrix} \bar{r} S_{0} + Δ r S_{1} & Δ r S_{2} \\ Δ r S_{2} & \bar{r} S_{0} + Δ r S_{1} \end{matrix}) .

(5)

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T = \exp (i 2 π (n_{0} + n_{1}) d / λ),

(6)

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V = \frac{1}{2} (\begin{matrix} 1 \\ 1 \end{matrix}) \exp (- i δ), H = \frac{k}{2} (\begin{matrix} 1 \\ - 1 \end{matrix}) \exp (i δ),

(7)

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E = \frac{1}{2} (\begin{matrix} \exp (- i δ) + k \exp (i δ) \\ \exp (- i δ) - k \exp (i δ) \end{matrix}) .

(8)

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T = (\begin{matrix} \exp (i (φ_{s} + γ)) & \exp (β) \\ \exp (β) & \exp (i (φ_{s} - γ)) \end{matrix}),

(9)

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φ_{s} = π d (n_{‖} + n_{⊥}) / λ, γ = 2 k π d Δ n \cos (2 δ) / (λ (k^{2} + 1)), β = i π d Δ n (1 - k^{2}) / (k^{2} + 1) .

(10)

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P = (\begin{matrix} 1 \\ \pm i \end{matrix}) \exp (i δ) .

(11)

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P^{'} = (\begin{matrix} \exp (i (φ_{s} + γ)) \pm i \exp β \\ \exp β \pm i \exp (i (φ_{s} - γ)) \end{matrix}) .

(12)

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η = A (1 - \exp (- K_{1} t)) + B (1 - \exp (- K_{2} t)),

(13)

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Hong Chen, Ziyao Lyu, Changshun Wang. Tunable polarization holographic gratings obtained by varying the ratio of intensities of the recording beams[J]. Photonics Research, 2024, 12(4): 749

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