New tomographic reconstruction technique based on Laplacian eigenfunction

Yasuhiro SUZUKI (鈴木康浩); Shishir PUROHIT; Satoshi OHDACHI(大舘暁); Satoshi YAMAMOTO (山本聡); Kazunobu NAGASAKI(長崎百伸)

doi:10.1088/2058-6272/aba185

Plasma Science and Technology > 2020 > 22(10): 102002. > DOI: 10.1088/2058-6272/aba185

Yasuhiro SUZUKI (鈴木康浩), Shishir PUROHIT, Satoshi OHDACHI(大舘暁), Satoshi YAMAMOTO (山本聡), Kazunobu NAGASAKI(長崎百伸). New tomographic reconstruction technique based on Laplacian eigenfunction[J]. Plasma Science and Technology, 2020, 22(10): 102002. DOI: 10.1088/2058-6272/aba185

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New tomographic reconstruction technique based on Laplacian eigenfunction

¹ National Institute for Fusion Science, Toki 509-5292, Japan
² The Graduate University for Advanced Studies, SOKENDAI, Toki 509-5292, Japan
³ Institute for Plasma Research, Gandhinagar 382428, India
⁴ Graduate School of Frontier Science, The University of Tokyo, Kashiwa 277-8561, Japan
⁵ Naka Fusion Institute, National Institutes for Quantum and Radiological Science and Technology, Naka 311-0193, Japan
⁶ Institute of Advanced Energy, Kyoto University, Uji 611-0011, Japan

Funds: This work was performed under the auspices of the NIFS Bilateral Collaboration Research Program (NIFS10- KUHL037). This work was partly supported by Grant-in-aid for Scientific Research (B) 18H01202 from the Japan Society for the Promotion of Science (JSPS) and JSPS-CAS Joint Research Program, Grant number JPJSBP120197202. This work was also supported by JSPS Core-to-Core Program A. Advanced Research Networks,‘PLADyS’.

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Received Date: April 22, 2020
Revised Date: June 26, 2020
Accepted Date: June 29, 2020

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Abstract

This letter proposes a new tomographic reconstruction procedure based on the Laplacian eigenfunction (LEF) patterns, which are independent of the plasma cross-section and do not require the flux surface information. The process is benchmarked for the experimental data of Heliotron J plasma and the results are compared with the least-squares approximation by a Phillips–Tikhonov (PT)-type regularization, which is widely used as the standard technique for tomographic reconstruction. The reconstruction based on the LEF is found to be capable of determining the magnetic axis at different time locations efficiently in comparison with the PT-type regularization.
- tomography,
- Laplacian eigenfunction,
- Heliotron J,
- soft x-ray

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New tomographic reconstruction technique based on Laplacian eigenfunction

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