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快波模式转换效率的理论分析和数值模拟

卢凌峰 张新军 赵燕平 秦成明

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快波模式转换效率的理论分析和数值模拟

卢凌峰, 张新军, 赵燕平, 秦成明

Theoretical analysis and numerical calculation of mode conversion efficiency of fast wave

Lu Ling, Zhang Xin-Jun, Zhao Yan-Ping, Qin Cheng-Ming
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  • 利用相位积分法, 在传统的布登模型基础上, 考虑了高场侧截止层的影响, 构建了三体模型, 求出了快波通过单一衰减层的传输系数、反射系数和模式转换系数. 在双离子情况下, 模拟的结果与Kazakov等人的结果相符合. 针对EAST实验, 将双离子模型推广至三离子模型, 分析了不同相位、少子浓度、频率和纵场强度对快波模式转换效率的影响, 为未来离子回旋加热实验提供参考.
    By considering the effect of high-field-side cutoff, the conventional Budden model has been extended to Triplet model. In this model, the reflection coefficient, transmission coefficient and mode conversion (MC) coefficient of the fast wave for a single evanescence region can be derived through using phase-integral method. Furthermore, numerical calculation of MC coefficient for double-ion species and three-ion species have been done. In the case of double ions, the result is consistent with Kazakov's work. In addition, as an example of three ions plasma, (H, 3He)D plasma in tokamak EAST, simulations of the dependence of the MC efficiency on the magnetic field, microwave frequency and minority concentration for different antenna phasings are carried out. The results show how to choose proper phasing to reach an optimum MC efficiency. This result may provide a reference to improve ICRF heating efficiency.
    • 基金项目: 国家磁约束核聚变能研究专项(批准号: 2010GB110000)、国家自然科学基金 (批准号: 11105179, 11075182)和中国科学院知识创新工程重要方向性项目(批准号: Y05FCQ1126)资助的课题.
    • Funds: Project supported by the National Special Fund for Magnetically Confined Nuclear Fusion Energy (Grant No. 2010GB110000), the National Natural Science Foundation of China (Grant Nos. 11105179, 11075182), and the Main Direction Program of Knowledge Innovation of Chinese Academy of Sciences (Grant No. Y05FCQ1126).
    [1]

    Shi B R 1999 Magnetic Confinement Fusion Principles and Practice (1st Edn.) (Beijing: Atomic Energy Press) p198 (in Chinese) [石秉仁 1999 磁约束聚变原理与实践 1 st (北京: 原子能出版社) p198]

    [2]

    Perkins F W 1977 Nucl. Fusion 17 1197

    [3]

    Shen X M, Wang Z S, Shao Y G, Xue D Y, Ding J Y, Xu D Z, Wu C Z, Deng X, Wang J, Wang Y M, Li Y Y, HT-6M team 1995 Acta Phys. Sin. 44 1442 (in Chinese) [沈学民, 王兆申, 邵玉贵, 薛迪冶, 丁家义, 许德政, 吴从中, 邓旭, 王坚, 汪亚明, 李有宜, HT-6M实验小组 1995 44 1442]

    [4]

    Lin Y, Wukitch S J, Bonoli P T, Marmar E, Mossessian D, Nelson-Melby E, Phillips P, Porkolab M, Schilling G, Wolfe S, Wright J 2003 Plasma Phys. Control. Fusion 45 1013

    [5]

    Majeski R, Rogers J H, Batha S H, Budny R, Fredrickson E, Grek B, Hill K, Hosea J C, LeBlanc B, Levinton F, Murakami M, Phillips C K, Ramsey A T, Schilling G, Taylor G, Wilson J R, Zarnstorff M C 1996 Phys. Rev. Lett. 76 764

    [6]

    Lin Y, Rice J E, Wukitch S J, Reinke M L, Greenwald M J, Hubbard A E, Marmar E S, Podpaly Y, Porkolab M, Tsujii N, the Alcator C-Mod team 2011 Nucl. Fusion 51 063002

    [7]

    Li X L, Wan B N, Zhong G Q, Hu L Q, Lin S Y, Zhang X J, Zang Q 2011 Chin. Phys. Lett. 28 105202

    [8]

    Stix T H 1992 Waves in Plasmas (1st Edn.) (New York: American Institute of Physics) p348

    [9]

    Fuchs V, Ram A K, Schultz S D, Bers A, Lashmore-Davies C N 1995 Phys. Plasmas 2 1637

    [10]

    Kazakov Ye O, Pavlenko I V, Weyssow B, Girka I O 2008 Ukr. J. Phys. 53 442

    [11]

    Kazakov Ye O, Pavlenko I V, Eester D Van, Weyssow B, Girka I O 2010 Plasma Phys. Control. Fusion 52 115006

    [12]

    Swanson D G 2003 Plasma Waves (2nd Edn.) (London: The institute of Physics) p5

    [13]

    Heading J 1962 An Introduction to Phase Integral Methods (London: methuen) p40

    [14]

    Abramowitz M, Stegun I A 1972 Handbook of Mathematical Functions (9th Edn.) (New York: Dover) p256

    [15]

    Chiu S C, Mayberry M J, Bard W D 1990 Nucl. Fusion 30 2551

    [16]

    Qin C M, Zhang X J, Zhao Y P 2012 24th IAEA Fusion Energy Conference San Diego, October 8-13, 2012 EX/P6-25

  • [1]

    Shi B R 1999 Magnetic Confinement Fusion Principles and Practice (1st Edn.) (Beijing: Atomic Energy Press) p198 (in Chinese) [石秉仁 1999 磁约束聚变原理与实践 1 st (北京: 原子能出版社) p198]

    [2]

    Perkins F W 1977 Nucl. Fusion 17 1197

    [3]

    Shen X M, Wang Z S, Shao Y G, Xue D Y, Ding J Y, Xu D Z, Wu C Z, Deng X, Wang J, Wang Y M, Li Y Y, HT-6M team 1995 Acta Phys. Sin. 44 1442 (in Chinese) [沈学民, 王兆申, 邵玉贵, 薛迪冶, 丁家义, 许德政, 吴从中, 邓旭, 王坚, 汪亚明, 李有宜, HT-6M实验小组 1995 44 1442]

    [4]

    Lin Y, Wukitch S J, Bonoli P T, Marmar E, Mossessian D, Nelson-Melby E, Phillips P, Porkolab M, Schilling G, Wolfe S, Wright J 2003 Plasma Phys. Control. Fusion 45 1013

    [5]

    Majeski R, Rogers J H, Batha S H, Budny R, Fredrickson E, Grek B, Hill K, Hosea J C, LeBlanc B, Levinton F, Murakami M, Phillips C K, Ramsey A T, Schilling G, Taylor G, Wilson J R, Zarnstorff M C 1996 Phys. Rev. Lett. 76 764

    [6]

    Lin Y, Rice J E, Wukitch S J, Reinke M L, Greenwald M J, Hubbard A E, Marmar E S, Podpaly Y, Porkolab M, Tsujii N, the Alcator C-Mod team 2011 Nucl. Fusion 51 063002

    [7]

    Li X L, Wan B N, Zhong G Q, Hu L Q, Lin S Y, Zhang X J, Zang Q 2011 Chin. Phys. Lett. 28 105202

    [8]

    Stix T H 1992 Waves in Plasmas (1st Edn.) (New York: American Institute of Physics) p348

    [9]

    Fuchs V, Ram A K, Schultz S D, Bers A, Lashmore-Davies C N 1995 Phys. Plasmas 2 1637

    [10]

    Kazakov Ye O, Pavlenko I V, Weyssow B, Girka I O 2008 Ukr. J. Phys. 53 442

    [11]

    Kazakov Ye O, Pavlenko I V, Eester D Van, Weyssow B, Girka I O 2010 Plasma Phys. Control. Fusion 52 115006

    [12]

    Swanson D G 2003 Plasma Waves (2nd Edn.) (London: The institute of Physics) p5

    [13]

    Heading J 1962 An Introduction to Phase Integral Methods (London: methuen) p40

    [14]

    Abramowitz M, Stegun I A 1972 Handbook of Mathematical Functions (9th Edn.) (New York: Dover) p256

    [15]

    Chiu S C, Mayberry M J, Bard W D 1990 Nucl. Fusion 30 2551

    [16]

    Qin C M, Zhang X J, Zhao Y P 2012 24th IAEA Fusion Energy Conference San Diego, October 8-13, 2012 EX/P6-25

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出版历程
  • 收稿日期:  2012-05-08
  • 修回日期:  2012-10-28
  • 刊出日期:  2013-04-05

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