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The effective measurement of plasma turbulence flow field is of great help for better understanding the turbulence in magnetically confined plasmas, and experimentally verifying the theoretically predicted phenomenon such as zonal flows. In this article, the dynamic programming based time-delay estimation technique is employed for the first time to estimate azimuthal velocity fluctuation of drift-wave turbulence in a linear magnetized plasma generated via a hot cathode plasma source. Analysis results clearly reproduce the zonal flow structure which is spontaneously generated by nonlinear energy transfer from the drift-wave turbulence. Moreover, via the comparison among the zonal flow (ZF) characteristics estimated respectively by the turbulent fluctuations of plasma located in different frequency regions, we further evaluate the dependences of accuracy and response for estimating ZF property using this newly developed time-delay estimation algorithm on the level of relative incoherent noise in the carrier waves. This work provides an example and reference value for deeper exploration on plasma turbulence and in particular the relevant flow field with the help of the dynamic programming based time-delay estimation technique.
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Keywords:
- dynamic programming based time-delay estimation /
- zonal flow /
- drift-wave turbulence /
- velocity fluctuation
[1] McKee G R, Fonck R J, Gupta D K, Schlossberg D J, Shafer M W, Holland C, Tynan G 2004 Rev. Sci. Instrum. 75 3490
[2] Holland C, Tynan G R, McKee G R, Fonck R J 2004 Rev. Sci. Instrum. 75 4278
[3] Jakubowski M, Fonck R J, Fenzi C, McKee G R 2001 Rev. Sci. Instrum. 72 996
[4] Schlossberg D J, Gupta D K, Fonck R J, McKee G R, Shafer M W 2006 Rev. Sci. Instrum. 77 10F518
[5] Gupta D K, McKee G R, Fonck R J 2010 Rev. Sci. Instrum. 81 013501
[6] Shao L M, Xu G S, Liu S C, Zweben S J, Wan B N, Guo H Y, Liu A D, Chen R, Cao B, Zhang W, Wang H Q, Wang L, Ding S Y, Yan N, Hu G H, Xiong H, Chen L, Liu Y L, Zhao N, Li Y L 2013 Plasma Phys. Control. Fusion 55 105006
[7] Hasegawa A, Maclennan C G, Kodama Y 1979 Phys. Fluids 22 2122
[8] Zhang Y Z, Xie T 2014 Acta Phys. Sin. 63 035202(in Chinese)[章扬忠, 谢涛 2014 物理学报 63 035202]
[9] Peng X D, Yin S Q 2004 Acta Phys. Sin. 53 3094(in Chinese)[彭晓东, 尹绍全 2004 物理学报 53 3094]
[10] Winsor N, Johnson J L, Dawson J M 1968 Phys. Fluids 11 2448
[11] Rosenbluth M N, Hinton F L 1998 Phys. Rev. Lett. 80 724
[12] Fujisawa A 2009 Nucl. Fusion 49 013001
[13] Lin Z, Hahm T S, Lee W W, Tang W M, White R B 1998 Science 281 1835
[14] Kim E J, Diamond P H 2003 Phys. Rev. Lett. 90 185006
[15] Xie J L, Yu Z, Liu W D, Yu C X 2006 Plasma Sci. Technol. 8 99
[16] Chen R, Xie J L, Yu C X, Liu A D, Lan T, Zhang S B, Hu G H, Li H, Liu W D 2011 Chin. Phys. Lett. 28 025202
[17] Gao F, Li X C, Zhao S X, Wang Y N 2012 Chin. Phys. B 21 075203
[18] Wu J, Zhang P Y, Sun J Z, Zhang J, Ding Z F, Wang D Z 2008 Chin. Phys. B 17 1848
[19] Xu X, Li L S, Liu F, Zhou Q H, Liang R Q 2008 Chin. Phys. B 17 4242
[20] Hong W Y, Yan L W, Zhao K J, Lan T, Dong J Q, Yu C X, Cheng J, Qian J, Liu A D, Luo C W, Xu Z Y, Huang Y, Yang Q W 2008 Acta Phys. Sin. 57 962(in Chinese)[洪文玉, 严龙文, 赵开君, 兰涛, 董家齐, 俞昌旋, 程均, 钱俊, 刘阿棣, 罗萃文, 徐征宇, 黄渊, 杨青巍 2008 物理学报 57 962]
[21] Xu G S, Wan B N, Song M, Li J 2003 Phys. Rev. Lett. 91 125001
[22] Quénot G M, Pakleza J, Kowalewski T A 1998 Exp. Fluids 25 177
[23] Kim Y C, Powers E J 1979 IEEE Trans. Plasma Sci. 7 120
[24] Kim Y C, Beall J M, Powers E J, Miksad R W 1980 Phys. Fluids 23 258
[25] Itoh K, Nagashima Y, Itoh S -I, Diamond P H, Fujisawa A, Yagi M, Fukuyama A 2005 Phys. Plasmas 12 102301
[26] Diamond P H, Itoh S I, Itoh K, Hahm T S 2005 Plasma Phys. Control. Fusion 47 R35
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[1] McKee G R, Fonck R J, Gupta D K, Schlossberg D J, Shafer M W, Holland C, Tynan G 2004 Rev. Sci. Instrum. 75 3490
[2] Holland C, Tynan G R, McKee G R, Fonck R J 2004 Rev. Sci. Instrum. 75 4278
[3] Jakubowski M, Fonck R J, Fenzi C, McKee G R 2001 Rev. Sci. Instrum. 72 996
[4] Schlossberg D J, Gupta D K, Fonck R J, McKee G R, Shafer M W 2006 Rev. Sci. Instrum. 77 10F518
[5] Gupta D K, McKee G R, Fonck R J 2010 Rev. Sci. Instrum. 81 013501
[6] Shao L M, Xu G S, Liu S C, Zweben S J, Wan B N, Guo H Y, Liu A D, Chen R, Cao B, Zhang W, Wang H Q, Wang L, Ding S Y, Yan N, Hu G H, Xiong H, Chen L, Liu Y L, Zhao N, Li Y L 2013 Plasma Phys. Control. Fusion 55 105006
[7] Hasegawa A, Maclennan C G, Kodama Y 1979 Phys. Fluids 22 2122
[8] Zhang Y Z, Xie T 2014 Acta Phys. Sin. 63 035202(in Chinese)[章扬忠, 谢涛 2014 物理学报 63 035202]
[9] Peng X D, Yin S Q 2004 Acta Phys. Sin. 53 3094(in Chinese)[彭晓东, 尹绍全 2004 物理学报 53 3094]
[10] Winsor N, Johnson J L, Dawson J M 1968 Phys. Fluids 11 2448
[11] Rosenbluth M N, Hinton F L 1998 Phys. Rev. Lett. 80 724
[12] Fujisawa A 2009 Nucl. Fusion 49 013001
[13] Lin Z, Hahm T S, Lee W W, Tang W M, White R B 1998 Science 281 1835
[14] Kim E J, Diamond P H 2003 Phys. Rev. Lett. 90 185006
[15] Xie J L, Yu Z, Liu W D, Yu C X 2006 Plasma Sci. Technol. 8 99
[16] Chen R, Xie J L, Yu C X, Liu A D, Lan T, Zhang S B, Hu G H, Li H, Liu W D 2011 Chin. Phys. Lett. 28 025202
[17] Gao F, Li X C, Zhao S X, Wang Y N 2012 Chin. Phys. B 21 075203
[18] Wu J, Zhang P Y, Sun J Z, Zhang J, Ding Z F, Wang D Z 2008 Chin. Phys. B 17 1848
[19] Xu X, Li L S, Liu F, Zhou Q H, Liang R Q 2008 Chin. Phys. B 17 4242
[20] Hong W Y, Yan L W, Zhao K J, Lan T, Dong J Q, Yu C X, Cheng J, Qian J, Liu A D, Luo C W, Xu Z Y, Huang Y, Yang Q W 2008 Acta Phys. Sin. 57 962(in Chinese)[洪文玉, 严龙文, 赵开君, 兰涛, 董家齐, 俞昌旋, 程均, 钱俊, 刘阿棣, 罗萃文, 徐征宇, 黄渊, 杨青巍 2008 物理学报 57 962]
[21] Xu G S, Wan B N, Song M, Li J 2003 Phys. Rev. Lett. 91 125001
[22] Quénot G M, Pakleza J, Kowalewski T A 1998 Exp. Fluids 25 177
[23] Kim Y C, Powers E J 1979 IEEE Trans. Plasma Sci. 7 120
[24] Kim Y C, Beall J M, Powers E J, Miksad R W 1980 Phys. Fluids 23 258
[25] Itoh K, Nagashima Y, Itoh S -I, Diamond P H, Fujisawa A, Yagi M, Fukuyama A 2005 Phys. Plasmas 12 102301
[26] Diamond P H, Itoh S I, Itoh K, Hahm T S 2005 Plasma Phys. Control. Fusion 47 R35
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