An online diagnosis technique for simultaneous measurement of the fundamental, second and third harmonics in one snapshot

Xue Dong; Xingchen Pan; Cheng Liu; Jianqiang Zhu

doi:10.1017/hpl.2019.26

Journals >High Power Laser Science and Engineering >Volume 7 >Issue 3 >Page 03000e48 > Article

High Power Laser Science and Engineering
Vol. 7, Issue 3, 03000e48 (2019)

An online diagnosis technique for simultaneous measurement of the fundamental, second and third harmonics in one snapshot | Editors' Pick

Xue Dong^1、2, Xingchen Pan¹, Cheng Liu^1、†, and Jianqiang Zhu¹

Author Affiliations

¹Joint Laboratory on High-Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

²Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

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DOI: 10.1017/hpl.2019.26 Cite this Article Set citation alerts

Xue Dong, Xingchen Pan, Cheng Liu, Jianqiang Zhu. An online diagnosis technique for simultaneous measurement of the fundamental, second and third harmonics in one snapshot[J]. High Power Laser Science and Engineering, 2019, 7(3): 03000e48 Copy Citation Text

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Abstract

A three-wavelength coherent-modulation-imaging (CMI) technique is proposed to simultaneously measure the fundamental, second and third harmonics of a laser driver in one snapshot. Laser beams at three wavelengths (1053 nm, 526.5 nm and 351 nm) were simultaneously incident on a random phase plate to generate hybrid diffraction patterns, and a modified CMI algorithm was adopted to reconstruct the complex amplitude of each wavelength from one diffraction intensity frame. The validity of this proposed technique was verified using both numerical simulation and experimental analyses. Compared to commonly used measurement methods, this proposed method has several advantages, including a compact structure, convenient operation and high accuracy.

Keywords

high-power laser pulses phase retrieval wave diagnosis

$$\begin{eqnarray}\text{Error}_{n}=\frac{\mathop{\sum }_{u}\left|\mathop{\sum }_{k=1}^{3}|E_{k,n}(r_{D})|^{2}-I\right|^{2}}{\mathop{\sum }_{u}I^{2}},\end{eqnarray}$$

(1)

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$$\begin{eqnarray}\hat{E}_{k,n}(r_{D})=\frac{\sqrt{I}E_{k,n}(r_{D})}{\sqrt{\mathop{\sum }_{k=1}^{K}|E_{k,n}(r_{D})|^{2}}}.\end{eqnarray}$$

(2)

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$$\begin{eqnarray}\hat{E}_{k,n}^{\prime }(r_{D})=\left\{\begin{array}{@{}l@{}}E_{k,n}(r_{D}),\quad r_{D}\in S,\\ \hat{E}_{k,n}(r_{D}),\quad r_{D}\notin S.\\ \end{array}\right.\end{eqnarray}$$

(3)

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$$\begin{eqnarray}\hat{E}_{k,n}(r_{m})=E_{k,n}(r_{M})+\unicode[STIX]{x1D6FC}\frac{T_{k}^{\ast }}{|T_{k}|_{\text{max}}^{2}}[\hat{E}_{k,n}(r_{M})-E_{k,n}(r_{M})],\end{eqnarray}$$

(4)

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$$\begin{eqnarray}\displaystyle \hat{E}_{k,n}^{\prime }(r_{S}) & = & \displaystyle H_{D(k,n)}\hat{E}_{k,n}(r_{S})\nonumber\\ \displaystyle & & \displaystyle +\,\unicode[STIX]{x1D6FE}(1-H_{D(k,n)})[\hat{E}_{k,n}(r_{S})-E_{k,n}(r_{S})].\qquad\end{eqnarray}$$

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