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An Analytical Method for the Abel Inversion of Asymmetrical Gaussian Profiles

An Analytical Method for the Abel Inversion of Asymmetrical Gaussian Profiles
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摘要 An analytical algorithm for fast calculation of the Abel inversion for density profile measurement in tokamak is developed. Based upon the assumptions that the particle source is negligibly small in the plasma core region, density profiles can be approximated by an asymmetrical Gaussian distribution controlled only by one parameter VoID and VoID is constant along the radial direction, the analytical algorithm is presented and examined against a testing profile. The validity is confirmed by benchmark with the standard Abel inversion method and the theoretical profile. The scope of application as well as the error analysis is also discussed in detail. An analytical algorithm for fast calculation of the Abel inversion for density profile measurement in tokamak is developed. Based upon the assumptions that the particle source is negligibly small in the plasma core region, density profiles can be approximated by an asymmetrical Gaussian distribution controlled only by one parameter VoID and VoID is constant along the radial direction, the analytical algorithm is presented and examined against a testing profile. The validity is confirmed by benchmark with the standard Abel inversion method and the theoretical profile. The scope of application as well as the error analysis is also discussed in detail.
出处 《Plasma Science and Technology》 SCIE EI CAS CSCD 2007年第1期15-18,共4页 等离子体科学和技术(英文版)
基金 supported by the National Natural Science Foundation of China (No. 10235010) the special fund for scientific research startup to the winner of the Chinese Academy of Sciences President Award. As well as in part by JSPS-CAS Core-University Program on Plasma and Nuclear Fusion
关键词 TOKAMAK Abel inversion particle transport anomalous pinch tokamak, Abel inversion, particle transport, anomalous pinch
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参考文献15

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