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Accurate reconstruction of soft X-ray energy spectrum in detector response matrix

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Abstract

In this paper, we report the design of a Monte Carlo simulation for the energy spectrum measurement system based on the ladder- absorption method. Herein, the detector response matrix can be calculated using the detector responses to several monochromatic X-ray beams. A novel soft X-ray spectrum unfolding method based on the two-step reverse iteration (TSRI) algorithm is applied to acquire the primary spectrum. This paper provides examples of the use of TSRI, and the unfolded energy spectra for the soft X-ray beams show excellent agreement with the references. The unfolded energy spectra obtained using the TSRI exhibit better accuracy than those obtained from the commonly used unfolding code GRAVEL.

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References

  1. 1

    W. J. Zhang, L. X. You, H. Li, J. Huang, C. L. Lv, L. Zhang, X. Y. Liu, J. J. Wu, Z. Wang, and X. M. Xie, Sci. China-Phys. Mech. Astron. 60, 120314 (2017).

  2. 2

    R. Qi, Z. Sun, Z. Lin, P. Niu, W. Hao, L. Song, Q. Huang, J. Gao, L. Yin, and G. L. Long, Light Sci. Appl. 8, 22 (2019), arXiv: 1810.11806.

  3. 3

    F. Z. Wu, G. J. Yang, H. B. Wang, J. Xiong, F. Alzahrani, A. Hobiny, and F. G. Deng, Sci. China-Phys. Mech. Astron. 60, 120313 (2017).

  4. 4

    F. Zhuge, P. Luo, and T. Zhai, Sci. Bull. 62, 1491 (2017).

  5. 5

    Y. P. Shen, J. Su, W. P. Liu, G. Lian, L. Gan, L. H. Qiao, S. Q. Yan, Y. Zhou, Q. Yue, Z. Zeng, Q. D. Hu, Y. H. Mi, and W. Zhao, Sci. China-Phys. Mech. Astron. 60, 102022 (2017).

  6. 6

    J. Li, B. Luo, D. Yang, L. Yin, G. Wu, and H. Guo, Sci. Bull. 62, 717 (2017).

  7. 7

    Z. Yang, O. S. Magaña-Loaiza, M. Mirhosseini, Y. Zhou, B. Gao, L. Gao, S. M. H. Rafsanjani, G. L. Long, and R. W. Boyd, Light Sci. Appl. 6, e17013 (2017), arXiv: 1609.08741.

  8. 8

    M. Tian, Y. G. Huang, S. S. Wen, H. Yang, X. Y. Wang, J. Z. Peng, and H. P. Zhao, Euophys. Lett. 126, 13001 (2019).

  9. 9

    C. Kaur, S. Chaurasia, A. K. Poswal, D. S. Munda, A. K. Rossall, M. N. Deo, and S. M. Sharma, J. Quant. Spectr. Radiat. Transf. 187, 20 (2017).

  10. 10

    B. Zat’ko, F. Dubecký, P. Boháček, J. Huran, V. Nečas, and L. Ryć, Nucl. Instruments Methods Phys. Res. Sect. A 633, S131 (2011).

  11. 11

    W. B. Wu, H. T. Ren, S. X. Peng, Y. Xu, J. M. Wen, T. Zhang, J. F. Zhang, A. L. Zhang, J. Sun, Z. Y. Guo, and J. E. Chen, Sci. China-Phys. Mech. Astron. 61, 045211 (2018).

  12. 12

    Y. Y. Wang, F. Y. Li, M. Chen, S. M. Weng, Q. M. Lu, Q. L. Dong, Z. M. Sheng, and J. Zhang, Sci. China-Phys. Mech. Astron. 60, 115211 (2017).

  13. 13

    S. Yan, M. F. Zhang, W. C. Guo, W. Z. Wang, J. Gong, T. J. Liang, B. Q. Liu, M. Peng, S. M. Peng, G. A. Sun, X. Q. Tu, H. Y. Yan, J. H. Zhang, and H. Zheng, Sci. China-Phys. Mech. Astron. 62, 102021 (2019).

  14. 14

    L. Liu, F. Li, S. Bai, P. Jin, X. Cao, and X. Ouyang, Sens. Actuat. A-Phys. 280, 245 (2018).

  15. 15

    Z. Li, J. Wu, K. Wu, Y. Fan, Z. Bai, Y. Jiang, Y. Yin, Q. Xie, and J. Lei, Radiat. Phys. Chem. 162, 153 (2019).

  16. 16

    Y. Abdullah, C. R. Che Hak, M. H. A. R. Megat Ahmad, N. F. Hasbullah, M. R. Yusof, S. Mahat, and N. Ee Abdullah, Mater. Sci. Forum 840, 281 (2016).

  17. 17

    Q. Zhao, Z. Zhang, Y. Li, and X. Ouyang, RSC Adv. 7, 28499 (2017).

  18. 18

    G. Bertuccio, S. Caccia, D. Puglisi, and D. Macera, Nucl. Instrum. Methods Phys. Res. Sect. A 652, 193 (2011).

  19. 19

    G. Bertuccio, R. Casiraghi, and F. Nava, IEEE Trans. Nucl. Sci. 48, 232 (2001).

  20. 20

    S. Gallardo, J. Ródenas, A. Querol, and G. Verdú, Prog. Nucl. Energy 53, 1136 (2011).

  21. 21

    S. Gallardo, A. Querol, F. Pozuelo, G. Verdú, and J. Ródenas, Radiat. Phys. Chem. 95, 166 (2014).

  22. 22

    M. Reginatto, Radiat. Measurem. 45, 1323 (2010).

  23. 23

    M. Moralles, D. A. B. Bonifácio, M. Bottaro, and M. A. G. Pereira, Nucl. Instruments Methods Phys. Res. Sect. A 580, 270 (2007).

  24. 24

    M. Matzke, Nucl. Instrum. Methods Phys. Res. Sect. A 476, 230 (2002).

  25. 25

    Q. Zhu, F. Song, J. Ren, X. Chen, and B. Zhou, Radiat. Measurem. 62, 22 (2014).

  26. 26

    M. Reginatto, and P. Goldhagen, MAXED, A Computer Code For the Deconvolution of Multisphere Neutron Spectrometer Data Using the Maximum Entropy Method (Academic, New York, 1998).

  27. 27

    J. E. Fernandez, V. Scot, and E. Di Giulio, Radiat. Phys. Chem. 95, 154 (2014).

  28. 28

    H. N. Mülthei, and B. Schorr, Nucl. Instrum. Methods Phys. Res. Sect. A 257, 371 (1987).

  29. 29

    K. Shin, and M. Hamamoto, Nucl. Instrum. Methods Phys. Res. Sect. A 269, 272 (1988).

  30. 30

    K. Weise, Prog. Nucl. Energy 24, 305 (1990).

  31. 31

    V. Suman, and P. K. Sarkar, Nucl. Instrum. Methods Phys. Res. Sect. A. 737, 76 (2014).

  32. 32

    H. Shahabinejad, S. A. Hosseini, and M. Sohrabpour, Nucl. Instrum. Methods Phys. Res. Sect. A 811, 82 (2016).

  33. 33

    S. Avdic, S. A. Pozzi, and V. Protopopescu, Nucl. Instrum. Methods Phys. Res. Sect. A 565, 742 (2006).

  34. 34

    J. E. Fernández, V. Scot, E. D. Giulio, and L. Sabbatucci, Radiat. Phys. Chem. 116, 194 (2015).

  35. 35

    P. C. Hansen, Numer. Algor. 6, 1 (1994).

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Author information

Correspondence to Yang Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11875120, 11505060, and 11435010), the Beijing Nova Program (Grant No. xx2018057), the Fund of State Key Laboratory of Intense Pulsed Radiation Simulation and Effect (Grant No. SKLIPR1810), and the Fundamental Research Funds for the Central Universities (Grant No. 2018YQ01).

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Gao, R., Liu, Y., Ouyang, X. et al. Accurate reconstruction of soft X-ray energy spectrum in detector response matrix. Sci. China Phys. Mech. Astron. 62, 122012 (2019). https://doi.org/10.1007/s11433-019-1447-9

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Keywords

  • X-ray spectrometers
  • applications of Monte Carlo methods
  • matrix theory