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A method of solving spatial distribution of shell density by inverse Abel transform is presented. CH sphere imaging on the micro-focus X-ray source is implanted to test the method of inverse Abel transform. The reversion of shell density is in agreement with real density, which verifies the correctness of the method. The 16-fram implosion target images are processed by inverse Abel transform, and the distributions of compressed shell density at different times are obtained. Qualitative analysis of back-lighter distribution, pinhole imaging and variation of shell thickness is proposed for inverse Abel transform.
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Keywords:
- inverse Abel transform /
- back-lighter imaging /
- shell density distribution /
- radiation driving implosion
[1] Lindl D, Amendt P, Richard L, Berger S, Glendinning G, Glenzer H, Haan W, Robert L, Kauffman, Landen L, Laurence J 2004 Phys. Plasmas 1 339
[2] Yaakobi B, Smalyuk V A, Delettrez J A, Marshall F J, Meyerhofer D D, Seka W 2000 Phys. Plasmas 7 3727
[3] Smalyuk V A, Delettrez J A, Dumanis S B 2003 Phys. Plasmas 10 830
[4] Yaakobi B, Marshall F J, Bradley D K 1997 Phys. Plasmas 4 3021
[5] Yaakobi B, Shvarts D, Marshall F J, Epstein F L 1995 Rev. Sci. Instrum. 66 728
[6] Marshall F J, Delettrez J A, Epstein R 1994 Phys. Rev. E 49 4381
[7] Marshall F J, McKenty P W, DelettrezJ A, Epstein R, Knauer J P, Smalyuk V A 2009 Phys. Rev. Lett. 102 185004
[8] Hicks D G, Spears B K, Braun D G, Olson R E, Sorce C M, Celliers P M, Collins G W, Landen O L 2010 Rev. Sci. Instrum. 81 10E304
[9] Jiang S E, Liu Z L, Tang D Y, Zheng Z J 2000 Opt. Precision Engineering 8 181 (in Chinese) [江少恩, 刘忠礼, 唐道源, 郑志坚 2000 光学精密工程 8 181]
[10] Jiang S E, Ding Y K, Miao W Y, Liu S Y, Zheng Z J, Zhang B H, Zhang J Y, Huang T X, Li S W, Cheng J B, Jiang X H, Yi R Q, Yang G H, Yang J M, Hu X, Cao Z R, Huang Y X 2009 Sci. China G 39 1571 (in Chinese) [江少恩, 丁永坤, 缪文勇, 刘慎业, 郑志坚, 张保汉, 张继彦, 黄天暄, 李三伟, 陈家斌, 蒋小华, 易荣清, 杨国洪, 杨家敏, 胡昕, 曹柱荣, 黄翼翔 2009 中国科学G辑 39 1571]
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[1] Lindl D, Amendt P, Richard L, Berger S, Glendinning G, Glenzer H, Haan W, Robert L, Kauffman, Landen L, Laurence J 2004 Phys. Plasmas 1 339
[2] Yaakobi B, Smalyuk V A, Delettrez J A, Marshall F J, Meyerhofer D D, Seka W 2000 Phys. Plasmas 7 3727
[3] Smalyuk V A, Delettrez J A, Dumanis S B 2003 Phys. Plasmas 10 830
[4] Yaakobi B, Marshall F J, Bradley D K 1997 Phys. Plasmas 4 3021
[5] Yaakobi B, Shvarts D, Marshall F J, Epstein F L 1995 Rev. Sci. Instrum. 66 728
[6] Marshall F J, Delettrez J A, Epstein R 1994 Phys. Rev. E 49 4381
[7] Marshall F J, McKenty P W, DelettrezJ A, Epstein R, Knauer J P, Smalyuk V A 2009 Phys. Rev. Lett. 102 185004
[8] Hicks D G, Spears B K, Braun D G, Olson R E, Sorce C M, Celliers P M, Collins G W, Landen O L 2010 Rev. Sci. Instrum. 81 10E304
[9] Jiang S E, Liu Z L, Tang D Y, Zheng Z J 2000 Opt. Precision Engineering 8 181 (in Chinese) [江少恩, 刘忠礼, 唐道源, 郑志坚 2000 光学精密工程 8 181]
[10] Jiang S E, Ding Y K, Miao W Y, Liu S Y, Zheng Z J, Zhang B H, Zhang J Y, Huang T X, Li S W, Cheng J B, Jiang X H, Yi R Q, Yang G H, Yang J M, Hu X, Cao Z R, Huang Y X 2009 Sci. China G 39 1571 (in Chinese) [江少恩, 丁永坤, 缪文勇, 刘慎业, 郑志坚, 张保汉, 张继彦, 黄天暄, 李三伟, 陈家斌, 蒋小华, 易荣清, 杨国洪, 杨家敏, 胡昕, 曹柱荣, 黄翼翔 2009 中国科学G辑 39 1571]
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