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Ruyer C, Fusaro A, Debayle A, Capdessus R, Loiseau P, Masson-Laborde PE. Influence of a random phase plate on the growth of the backward stimulated Brillouin scatter. Phys Rev E 2023; 107:035208. [PMID: 37073038 DOI: 10.1103/physreve.107.035208] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/12/2022] [Accepted: 03/01/2023] [Indexed: 04/20/2023]
Abstract
We derive the analytical dispersion relation of a high-energy laser beam's backward stimulated Brillouin scattering (BSBS) in a hot plasma, that accounts both for the random phase plate (RPP) induced spatial shaping and its associated phase randomness. Indeed, phase plates are mandatory in large laser facilities where a precise control of the focal spot size is required. While the focal spot size is well controlled, such techniques produce small scale intensity variations that can trigger laser-plasma instabilities such as BSBS. Quantifying the resulting instability variability is shown to be crucial for understanding accurately the backscattering temporal and spatial growth as well as the asymptotic reflectivity. Our model, validated by means of a large number of three-dimensional paraxial simulations and experimental data, offers three quantitative predictions. The first one addresses the temporal exponential growth of the reflectivity by deriving and solving the BSBS RPP dispersion relation. A large statistical variability of the temporal growth rate is shown to be directly related to the phase plate randomness. Then, we predict the portion of the beam's section that is absolutely unstable, thus helping to precisely assess the validity of the vastly used convective analysis. Finally, a simple analytical correction to the plane wave spatial gain is extracted from our theory giving a practical and effective asymptotic reflectivity prediction that includes the impact of phase plates smoothing techniques. Hence, our study sheds light on the long-time studied BSBS, deleterious to many high-energy experimental studies related to the physics of inertial confinement fusion.
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Affiliation(s)
- C Ruyer
- CEA, DAM, DIF, F-91297 Arpajon, France and Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - A Fusaro
- CEA, DAM, DIF, F-91297 Arpajon, France and Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - A Debayle
- CEA, DAM, DIF, F-91297 Arpajon, France and Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - R Capdessus
- CEA, DAM, DIF, F-91297 Arpajon, France and Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - P Loiseau
- CEA, DAM, DIF, F-91297 Arpajon, France and Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - P E Masson-Laborde
- CEA, DAM, DIF, F-91297 Arpajon, France and Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
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Li Y, Li W, Chen L, Ma H, Xu X, Xu J, Wang X, Mu B. Basic principles and optical system design of 17.48 keV high-throughput modified Wolter x-ray microscope. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2022; 93:093526. [PMID: 36182515 DOI: 10.1063/5.0105015] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2022] [Accepted: 08/26/2022] [Indexed: 06/16/2023]
Abstract
High-precision x-ray imaging diagnostics of hotspot at the stagnation stage are essential for regulating implosion asymmetry and retrieving physical implosion parameters. With regard to 10-20 keV energy band imaging, existing diagnostic instruments such as Kirkpatrick-Baez microscopes and pinhole cameras are insufficient in terms of spatial resolution and collection efficiency. The situation is even worse when high-speed, time-resolved imaging diagnostics are performed by coupling framing cameras or line-of-sight imagers. This article presents the basic principles and optical system design of a 17.48 keV modified Wolter x-ray microscope, to resolve the problems encountered in high-energy imaging diagnostics. The proposed optical configuration offers a better spatial resolution, greater depth of field, and preliminary compliance with the requirements of high precision optical processing techniques. The spatial resolution is better than 1 µm in a field range ±150 µm, and is better than 3 µm in a total field of view ∼408 µm in diameter. The geometric solid angle is calculated as 3.0 × 10-5 sr and is estimated to be 1.2 × 10-6 sr, considering the reflectivity of the double mirrors. The proposed microscope is expected to effectively improve spatial resolution and signal-to-noise ratio for high-energy imaging diagnostics.
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Affiliation(s)
- Yaran Li
- Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
| | - Wenjie Li
- School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
| | - Liang Chen
- School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
| | - Huanzhen Ma
- School of Physics and Optoelectronic Engineering, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China
| | - Xinye Xu
- School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
| | - Jie Xu
- School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
| | - Xin Wang
- School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
| | - Baozhong Mu
- School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
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Li X, Dong Y, Kang D, Jiang W, Shen H, Kuang L, Zhang H, Yang J, Wang Q, Yin C, Huang T, Miao W, Chen Z, Tang Q, Peng X, Song Z, Zhang X, Dong J, Deng B, Deng K, Wang Q, Yang Y, Liu X, Jing L, Li H, Liu Z, Yu B, Yan J, Pu Y, Tu S, Yuan Y, Yang D, Wang F, Zhou W, Huang X, He Z, Zhang H, Liu Y, Zou S, Zhang B, Ding Y, Zhu S, Zhang W. First Indirect Drive Experiment Using a Six-Cylinder-Port Hohlraum. PHYSICAL REVIEW LETTERS 2022; 128:195001. [PMID: 35622043 DOI: 10.1103/physrevlett.128.195001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/2021] [Revised: 03/30/2022] [Accepted: 04/08/2022] [Indexed: 06/15/2023]
Abstract
The new hohlraum experimental platform and the quasi-3D simulation model are developed to enable the study of the indirect drive experiment using the six-cylinder-port hohlraum for the first time. It is also the first implosion experiment for the six laser-entrance-hole hohlraum to effectively use all the laser beams of the laser facility that is primarily designed for the cylindrical hohlraum. The experiments performed at the 100 kJ Laser Facility produce a peak hohlraum radiation temperature of ∼222 eV for ∼80 kJ and 2 ns square laser pulse. The inferred x-ray conversion efficiency η∼87% is similar to the cylindrical hohlraum and higher than the octahedral spherical hohlraum at the same laser facility, while the low laser backscatter is similar to the outer cone of the cylindrical hohlraum. The hohlraum radiation temperature and M-band (>1.6 keV) flux can be well reproduced by the quasi-3D simulation. The variations of the yield-over-clean and the hot spot shape can also be semiquantitatively explained by the calculated major radiation asymmetry of the quasi-3D simulation. Our work demonstrates the capability for the study of the indirect drive with the six-cylinder-port hohlraum at the cylindrically configured laser facility, which is essential for numerically assessing the laser energy required by the ignition-scale six-cylinder-port hohlraum.
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Affiliation(s)
- Xin Li
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Yunsong Dong
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Dongguo Kang
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Wei Jiang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Hao Shen
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Longyu Kuang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Huasen Zhang
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Jiamin Yang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Qiang Wang
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | | | | | - Wenyong Miao
- Research Center of Laser Fusion, Mianyang 621900, China
| | | | - Qi Tang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Xiaoshi Peng
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Zifeng Song
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Xing Zhang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Jianjun Dong
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Bo Deng
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Keli Deng
- Research Center of Laser Fusion, Mianyang 621900, China
| | | | - Yimeng Yang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Xiangming Liu
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Longfei Jing
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Hang Li
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Zhongjie Liu
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Bo Yu
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Ji Yan
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Yudong Pu
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Shaoyong Tu
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Yongteng Yuan
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Dong Yang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Feng Wang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Wei Zhou
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Xiaoxia Huang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Zhibing He
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Haijun Zhang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Yiyang Liu
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Shiyang Zou
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Baohan Zhang
- Research Center of Laser Fusion, Mianyang 621900, China
| | - Yongkun Ding
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Shaoping Zhu
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Weiyan Zhang
- Research Center of Laser Fusion, Mianyang 621900, China
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