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

doi:10.7498/aps.62.075204

摘要

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.

关键词:

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.

Keywords:

作者及机构信息

1.
中国科学院等离子体物理研究所, 合肥 230031

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.

Authors and contacts

1.
Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China

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).

参考文献

[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

施引文献

[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]	付瑜亮, 张思远, 杨谨远, 孙安邦, 王亚楠. 微波离子推力器中磁场发散区电子加热模式研究. , 2024, 73(9): 095203. doi: 10.7498/aps.73.20240017
[2]	施培万, 朱霄龙, 陈伟, 余鑫, 杨曾辰, 何小雪, 王正汹. HL-2A装置上电子回旋共振加热沉积位置影响鱼骨模主动控制效果的实验研究. , 2023, 72(21): 215208. doi: 10.7498/aps.72.20230696
[3]	孙延旭, 黄娟, 高伟, 常加峰, 张伟, 史唱, 李云鹤. EAST上中性束注入和离子回旋共振加热下快离子分布函数层析反演. , 2023, 72(21): 215203. doi: 10.7498/aps.72.20230846
[4]	张伟, 张新军, 刘鲁南, 朱光辉, 杨桦, 张华朋, 郑艺峰, 何开洋, 黄娟. EAST上离子回旋波与中性束注入协同加热产生的高能粒子分布及输运研究. , 2023, 72(21): 215201. doi: 10.7498/aps.72.20230482
[5]	荣松, 沈世全, 王天友, 车志钊. 液滴撞击加热壁面雾化弹起模式及驻留时间. , 2019, 68(15): 154701. doi: 10.7498/aps.68.20190097
[6]	马志斌, 沈武林, 吴俊, 严垒, 汪建华. 圆筒电极对离子磁电加热的影响. , 2013, 62(1): 015202. doi: 10.7498/aps.62.015202
[7]	沈武林, 马志斌, 谭必松, 吴俊, 汪建华. ECR等离子体的磁电加热研究. , 2011, 60(10): 105204. doi: 10.7498/aps.60.105204
[8]	张继彦, 杨家敏, 许琰, 杨国洪, 颜君, 孟广为, 丁耀南, 汪艳. 辐射加热Al等离子体的吸收谱实验. , 2008, 57(2): 985-989. doi: 10.7498/aps.57.985
[9]	龚学余, 彭晓炜, 谢安平, 刘文艳. 托卡马克等离子体不同运行模式下的电子回旋波电流驱动. , 2006, 55(3): 1307-1314. doi: 10.7498/aps.55.1307
[10]	王世庆, 金亚秋. 电子回旋共振加热情形锯齿振荡的数值分析. , 2001, 50(9): 1737-1741. doi: 10.7498/aps.50.1737
[11]	朱学光, 匡光力, 赵燕平, 李有宜, 谢纪康. 快波少数离子加热. , 1999, 48(9): 1709-1717. doi: 10.7498/aps.48.1709
[12]	朱学光, 匡光力, 赵燕平, 李有宜, 谢纪康. Fokker-Planck方程在快波加热中的应用. , 1998, 47(7): 1137-1142. doi: 10.7498/aps.47.1137
[13]	朱学光, 匡光力, 赵燕平, 李有宜, 谢纪康. 离子回旋波加热天线耦合的一种改进模型. , 1998, 47(7): 1130-1136. doi: 10.7498/aps.47.1130
[14]	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, 实验小组. HT-6M托卡马克二次谐波离子回旋共振加热实验. , 1995, 44(9): 1442-1448. doi: 10.7498/aps.44.1442
[15]	刘胜侠. HT-6M托卡马克离子回旋共振频率加热电荷交换能谱的分析. , 1995, 44(1): 152-156. doi: 10.7498/aps.44.152
[16]	何绍堂, 黄文忠, 孙永良, 杨尚金, 蔡玉琴, 何安, 孔令华, 淳于书泰. 激光加热Cu和NaF靶产生的1.2keV区X射线转换效率的测量. , 1993, 42(8): 1252-1256. doi: 10.7498/aps.42.1252
[17]	陈雁萍, 张淳沅. 粒子轨道损失对低杂波离子随机加热的影响. , 1984, 33(4): 457-464. doi: 10.7498/aps.33.457
[18]	徐至展, 李安民, 陈时胜, 林礼煌, 梁向春, 欧阳斌, 毕无忌, 何兴法, 殷光裕, 张树干, 潘成明. 激光加热等离子体研究. , 1981, 30(8): 1077-1084. doi: 10.7498/aps.30.1077
[19]	谭维翰, 徐至展. 激光等离子体的单频及双频加热. , 1977, 26(2): 133-148. doi: 10.7498/aps.26.133
[20]	陈一询, 徐叙瑢. 关于加热发光曲线的分析. , 1959, 15(7): 393-396. doi: 10.7498/aps.15.393

计量

文章访问数: 6605
PDF下载量: 700
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板