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Title: Analysis of measurement error in the experiment of laser equation of state with impedance-match way and the Hugoniot data of Cu up to {approx}2.24 TPa with high precision

Abstract

This article has reported the detailed analysis about the error in the experimental measurement of laser equation of state. A kind of matrix method to calculate the uncertainty of state parameter was put forward and applied to the error estimation in the experiment with Al-Cu impedance-match target. The shock adiabatic data of Cu with the pressure up to {approx}2.24 TPa and the relative uncertainty of shock velocity of {approx}2% have been also presented.

Authors:
; ; ; ; ; ; ; ; ; ;  [1];  [2]
  1. Shanghai Institute of Laser Plasma, P.O. Box 800-229, Shanghai 201800 (China)
  2. (China)
Publication Date:
OSTI Identifier:
20982701
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 101; Journal Issue: 4; Other Information: DOI: 10.1063/1.2538097; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; EQUATIONS OF STATE; ERRORS; IMPEDANCE; LASERS; MATRICES; SHOCK WAVES; VELOCITY

Citation Formats

Fu, Sizu, Huang, Xiuguang, Ma, Minxun, Shu, Hua, Wu, Jiang, Ye, Junjian, He, Juhua, Gu, Yuan, Luo, Pingqing, Rong, Tao, Zhang, Yonghui, and Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088. Analysis of measurement error in the experiment of laser equation of state with impedance-match way and the Hugoniot data of Cu up to {approx}2.24 TPa with high precision. United States: N. p., 2007. Web. doi:10.1063/1.2538097.
Fu, Sizu, Huang, Xiuguang, Ma, Minxun, Shu, Hua, Wu, Jiang, Ye, Junjian, He, Juhua, Gu, Yuan, Luo, Pingqing, Rong, Tao, Zhang, Yonghui, & Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088. Analysis of measurement error in the experiment of laser equation of state with impedance-match way and the Hugoniot data of Cu up to {approx}2.24 TPa with high precision. United States. doi:10.1063/1.2538097.
Fu, Sizu, Huang, Xiuguang, Ma, Minxun, Shu, Hua, Wu, Jiang, Ye, Junjian, He, Juhua, Gu, Yuan, Luo, Pingqing, Rong, Tao, Zhang, Yonghui, and Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088. Thu . "Analysis of measurement error in the experiment of laser equation of state with impedance-match way and the Hugoniot data of Cu up to {approx}2.24 TPa with high precision". United States. doi:10.1063/1.2538097.
@article{osti_20982701,
title = {Analysis of measurement error in the experiment of laser equation of state with impedance-match way and the Hugoniot data of Cu up to {approx}2.24 TPa with high precision},
author = {Fu, Sizu and Huang, Xiuguang and Ma, Minxun and Shu, Hua and Wu, Jiang and Ye, Junjian and He, Juhua and Gu, Yuan and Luo, Pingqing and Rong, Tao and Zhang, Yonghui and Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088},
abstractNote = {This article has reported the detailed analysis about the error in the experimental measurement of laser equation of state. A kind of matrix method to calculate the uncertainty of state parameter was put forward and applied to the error estimation in the experiment with Al-Cu impedance-match target. The shock adiabatic data of Cu with the pressure up to {approx}2.24 TPa and the relative uncertainty of shock velocity of {approx}2% have been also presented.},
doi = {10.1063/1.2538097},
journal = {Journal of Applied Physics},
number = 4,
volume = 101,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • Hugoniot data of diamond was obtained using laser-driven shock waves in the terapascal range of 0.5-2 TPa. Strong shock waves were generated by direct irradiation of a 2.5 ns laser pulse on an Al driver plate. The shock wave velocities in diamond and Al were determined from optical measurements. Particle velocities and pressures were obtained using an impedance matching method and known Al Hugoniot. The obtained Hugoniot data of diamond does not show a marked difference from the extrapolations of the Pavlovskii Hugoniot data in the TPa range within experimental errors.
  • Equation-of-state data and corresponding first-principles theory for the metals Al, Cu, Mo, and Pb are reported over the shock pressure range 0.4--2.4 TPa (4--24 Mbar). Strong shock waves were generated by nuclear explosions and a two-stage light-gas gun. The experimental data occur in the hot liquid-metal regime, where condensed-matter theory applies but with unusually large thermal components to the equation of state.
  • In this study, a laser linear encoder with three degrees of freedom (3-DOFs) based on diffraction and interference was developed to measure the linear displacement and two angular errors of a linear moving stage. Parts of the linear motion errors induced from the two angular errors can be calculated by this prototype 3-DOF laser encoder. It was an effective method for online error calculation and compensation to improve precision stage performance. This new function was superior to other laser encoders. The verification results showed that the resolution is 20 nm. It detected displacements relative to an external grating scale withmore » accuracy of about {+-}150 nm for a measuring range of {+-}1 mm, and detected the angular errors with related accuracy of about {+-}1 arc sec for a measuring range of {+-}100 arc sec.« less
  • Equation-of-state (EOS) measurements for polystyrene in TPa (10 Mbar) pressure regions are presented. Polystyrene Hugoniot data were obtained up to 2.7 TPa using impedance matching techniques with laser direct drive at the GEKKO/HIPER laser facility [N. Miyanaga et al., in Proceedings of the 18th International Conference on Fusion Energy (IAEA, Sorrento, Italy, 2001), IAEA-CN-77] The results were compared with theoretical models and previous experimental data and found to be in good agreement with the previous data obtained by different drive and diagnostic techniques.
  • Using uniform illumination of a high-power laser on inclined plane targets and impedance-match targets, we have studied the shock stability in Al and measured the shock adiabats of Fe and SiO{sub 2} by recording the shock luminant signals from the back surface of the targets with an optical streak camera. Experiments show that the shock wave is steady in the thickness range of (20--40) {mu}m in Al. The reliable shock adiabats of Fe and SiO{sub 2} were obtained in the pressure range of (0.35--0.82)TPa and (0.21--0.41)TPa, respectively. {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {ital Physics}.