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A laser-induced plasma analysis based on the inversion of Abel transformation

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Abstract

A numerical method for the inverse Abel transformation that can reconstruct plasma emissivity from a projected intensity profile is proposed. After calculating the derivatives of the projected intensity profile using a Volterra integral equation of the first kind, we approximate the derivative function in the Abel inversion transform using discrete least-squares approximation, and then, we obtain the emissivity profile using a numerical integral formula. It is shown that this process is numerically stable and efficient, and it is also resistant to noise when applied to experimental data, as demonstrated by our numerical results.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data sets generated during the current study are available from the corresponding author on reasonable request.]

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Funding

This work is supported by National Science Foundation of China (NSFC) Grant No. 11804396. XH is supported by Marie Curie Fellowship HADG-101027463 agreed between QMUL and the European Commission.

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Authors and Affiliations

  1. School of Science, Jiangsu University of Science and Technology, Zhenjiang, 212003, Jiangsu, China

    Jieer Wu & Yu Zhou

  2. School of Physics, Central South University, Changsha, 410083, Hunan, China

    Wenchen Luo

  3. Division of Basic Researches, National University of Defense Technology, Nanjing, 210039, Jiangsu, China

    W. G. Song

  4. School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, UK

    Xiao Han

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  1. Jieer Wu
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Correspondence to Yu Zhou.

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Wu, J., Luo, W., Song, W.G. et al. A laser-induced plasma analysis based on the inversion of Abel transformation. Eur. Phys. J. Plus 139, 89 (2024). https://doi.org/10.1140/epjp/s13360-024-04866-0

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