Angle amplifier in a 2D beam scanning system based on peristrophic multiplexed volume Bragg gratings

Yuanzhi Dong; Yunxia Jin; Fanyu Kong; Jingyin Zhao; Jianwei Mo; Dongbing He; Jing Sun; Jianda Shao

doi:10.1017/hpl.2022.42

Journals >High Power Laser Science and Engineering >Volume 11 >Issue 1 >Page 01000e13 > Article

High Power Laser Science and Engineering
Vol. 11, Issue 1, 01000e13 (2023)

Angle amplifier in a 2D beam scanning system based on peristrophic multiplexed volume Bragg gratings

Yuanzhi Dong^1、2、3, Yunxia Jin^1、3、4, Fanyu Kong^1、3、*, Jingyin Zhao^1、3, Jianwei Mo^1、3, Dongbing He^1、3, Jing Sun^1、3, and Jianda Shao^{1、2、3、4、5}

Author Affiliations

¹Thin Film Optics Laboratory, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China

²School of Physical Sciences, University of Science and Technology of China, Hefei, China

³Key Laboratory of High Power Laser Materials, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China

⁴CAS Center for Excellence in Ultra-intense Laser Science, Chinese Academy of Sciences, Shanghai, China

⁵Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, China

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DOI: 10.1017/hpl.2022.42 Cite this Article Set citation alerts

Yuanzhi Dong, Yunxia Jin, Fanyu Kong, Jingyin Zhao, Jianwei Mo, Dongbing He, Jing Sun, Jianda Shao. Angle amplifier in a 2D beam scanning system based on peristrophic multiplexed volume Bragg gratings[J]. High Power Laser Science and Engineering, 2023, 11(1): 01000e13 Copy Citation Text

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Abstract

In this paper, a 2D angle amplifier based on peristrophic multiplexed volume Bragg gratings is designed and prepared, in which a calculation method is firstly proposed to optimize the number of channels to a minimum. The induction of peristrophic multiplexing reduces the performance difference in one bulk of the grating, whereas there is no need to deliberately optimize the fabrication process. It is revealed that a discrete 2D angle deflection range of ±30° is obtained and the relative diffraction efficiency of all the grating channels reaches more than 55% with a root-mean-square deviation of less than 3.4% in the same grating. The deviation of the Bragg incidence and exit angles from the expected values is less than 0.07°. It is believed that the proposed 2D angle amplifier has the potential to realize high-performance and large-angle beam steering in high-power laser beam scanning systems.

Keywords

beam scanning high-power lasers volume Bragg gratings

$$\begin{align}\cos \left(\varphi -{\theta}_{\mathrm{i}}^{\prime}\right)=\left|\boldsymbol{K}\right|/2\beta.\end{align}$$

((1))

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$$\begin{align}\left\{\!\!\!\!\begin{array}{c}\varphi =\frac{\pi }{2}+\frac{\theta_{\mathrm{i}}^{\prime }+{\theta}_{\mathrm{o}}^{\prime }}{2}\\ {}\Lambda =\frac{\lambda_1}{2{n}_1\left|\cos \left(\varphi -{\theta}_{\mathrm{i}}^{\prime}\right)\right|}\end{array}\right..\end{align}$$

((2))

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$$\begin{align}\left\{\!\!\!\!\begin{array}{c}{\theta}_{\mathrm{B}}=\arcsin \left({\lambda}_2/\left(2{n}_2\Lambda \right)\right)\\ {}{\theta}_{\mathrm{s}}=\arcsin \left({n}_2\sin {\theta}_{\mathrm{s}}^{\prime}\right)=\arcsin \left({n}_2\sin \left(\varphi -\frac{\pi }{2}+{\theta}_{\mathrm{B}}\right)\right)\\ {}{\theta}_{\mathrm{r}}=\arcsin \left({n}_2\sin {\theta}_{\mathrm{r}}^{\prime}\right)=\arcsin \left({n}_2\sin \left(\varphi -\frac{\pi }{2}-{\theta}_{\mathrm{B}}\right)\right)\end{array}\right.,\end{align}$$

((3))

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$$\begin{align}\boldsymbol{k}={k}_{{x}}\cdot \boldsymbol{x}+{k}_{{y}}\cdot \boldsymbol{y}+{k}_{{z}}\cdot \boldsymbol{z}=\left[\begin{array}{l}{k}_{{x}}\\ {}{k}_{{y}}\\ {}{k}_{{z}}\end{array}\right].\end{align}$$

((4))

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$$\begin{align}\boldsymbol{k}=\frac{2\pi {n}_1}{\lambda_1}\left[\begin{array}{l}0\\ {}0\\ {}1\end{array}\right]={k}_0\left[\begin{array}{l}0\\ {}0\\ {}1\end{array}\right].\end{align}$$

((5))

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$$\begin{align}{\boldsymbol{k}}_1={k}_0\left[\begin{array}{c}0\\ {}\sin \phi \\ {}\cos \phi \end{array}\right],\ {\boldsymbol{k}}_2={k}_0\left[\begin{array}{c}\sin \phi \sin \theta \\ {}\sin \phi \cos \theta \\ {}\cos \phi \end{array}\right],\end{align}$$

((6))

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$$\begin{align}{\boldsymbol{k}}^{\prime}={k}_0\left[\begin{array}{c}\sin \alpha \sin \gamma \\ {}\sin \alpha \cos \gamma \\ {}\cos \alpha \end{array}\right],\ \alpha \in \left[0,{\alpha}_{\mathrm{m}}\right],\ \gamma \in \left[0,2\pi \right].\end{align}$$

((7))

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$$\begin{align}{{\left\{\!\!\!\!\begin{array}{c}{\boldsymbol{k}}_1^{\prime}={k}_0\left[\begin{array}{c}\sin \alpha \sin {\gamma}_1\\ {}\sin \alpha \cos {\gamma}_1\cos \phi +\cos \alpha \sin \phi \\ {}-\sin \alpha \cos {\gamma}_1\sin \phi +\cos \alpha \cos \phi \end{array}\right],\ {\gamma}_1\in \left[0,2\pi \right]\\ {}{\boldsymbol{k}}_2^{\prime}={k}_0\left[\begin{array}{c}\sin \alpha \sin {\gamma}_2\cos \theta +\sin \alpha \cos {\gamma}_2\cos \phi \sin \theta +\cos \alpha \sin \phi \sin \theta \\ {}-\sin \alpha \cos {\gamma}_2\sin \theta +\sin \alpha \cos {\gamma}_2\cos \phi \cos \theta +\cos \alpha \sin \phi \cos \theta \\ {}-\sin \alpha \cos {\gamma}_2\sin \phi +\cos \alpha \cos \phi \end{array}\right],\ {\gamma}_2\in \left[0,2\pi \right]\end{array}\right.,}}\end{align}$$

((8))

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$$\begin{align}\mu =\frac{{\boldsymbol{k}}_1^{\prime}\cap {\boldsymbol{k}}_2^{\prime }}{{\boldsymbol{k}}_1^{\prime}\cup {\boldsymbol{k}}_2^{\prime }}.\end{align}$$

((9))

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$$\begin{align}\left\{\!\!\!\!\begin{array}{c}\eta =\frac{\sin^2{\left({\nu}^2+{\xi}^2\right)}^{1/2}}{1+{\left(\xi /\nu \right)}^2}\\[5pt] {}\nu =\frac{\pi \Delta nt}{\lambda_1{\left(\cos {\theta}_{\mathrm{i}}^{\prime}\cos {\theta}_{\mathrm{o}}^{\prime}\right)}^{1/2}}\\ {}\xi =\frac{\delta t}{2\cos {\theta}_{\mathrm{o}}^{\prime }}\end{array}\right.,\end{align}$$

((10))

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$$\begin{align}\Delta n\cdot t=\frac{\lambda_1}{2}{\left(\cos {\theta}_{\mathrm{i}}^{\prime}\cos {\theta}_{\mathrm{o}}^{\prime}\right)}^{\frac{1}{2}}= \mathrm{constant},\end{align}$$

((11))

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$$\begin{align}\mathrm{d}\theta ={\left(\frac{2{\lambda}_1}{t}\left(\frac{\cos {\theta}_{\mathrm{o}}^{\prime }}{\sin {\theta}_{\mathrm{i}}^{\prime}\left(\sin {\theta}_{\mathrm{o}}^{\prime }+\sin {\theta}_{\mathrm{i}}^{\prime}\right)}\right)\right)}^{1/2}.\end{align}$$

((12))