螺旋天线轴向长度对螺旋波传播、吸收的影响

doi:10.19596/j.cnki.1001-246x.8323

计算物理 ›› 2021, Vol. 38 ›› Issue (6): 713-721.DOI: 10.19596/j.cnki.1001-246x.8323

螺旋天线轴向长度对螺旋波传播、吸收的影响

杜丹¹, 李帅¹, 阳璞琼², 冯军³, 向东⁴, 龚学余⁴^,*()

1. 南华大学数理学院, 湖南衡阳 421001
2. 南华大学电气工程学院, 湖南衡阳 421001
3. 南华大学机械工程学院, 湖南衡阳 421001
4. 南华大学核科学技术学院, 湖南衡阳 421001

收稿日期:2020-12-21 出版日期:2021-11-25 发布日期:2022-04-27
通讯作者: 龚学余
作者简介:杜丹(1979-), 女, 湖北洪湖, 副教授, 博士研究生, 从事核聚变与等离子体物理研究
基金资助:
国家自然科学基金(11205086);国家自然科学基金(11675073);湖南省自然科学基金(2020JJ4515);湖南省教育厅重点项目(20A432);湖南省核聚变国际科技创新合作基地(2018WK4009);衡阳市重点实验室项目(2018KJ108);南华大学核燃料循环技术与装备湖南省协同创新中心开放基金项目(2019KFY23);南华大学核燃料循环技术与装备湖南省协同创新中心开放基金项目(2019KFZ10)

Helicon Waves Propagation and Absorption: Effect of Axial Length of Helical Antenna

Dan DU¹, Shuai LI¹, Puqiong YANG², Jun FENG³, Dong XIANG⁴, Xueyu GONG⁴^,*()

1. Department of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China
2. Department of Electrical Engineering, University of South China, Hengyang, Hunan 421001, China
3. Department of Mechanical Engineering, University of South China, Hengyang, Hunan 421001, China
4. Department of Nuclear Science and Technology, University of South China, Hengyang, Hunan 421001, China

Received:2020-12-21 Online:2021-11-25 Published:2022-04-27
Contact: Xueyu GONG

摘要/Abstract

摘要：

采用有限元法数值求解Maxwell方程组，分析H-1仿星器实验参数下螺旋天线的轴向长度对螺旋波传播、吸收的影响。计算结果表明：随着螺旋天线轴向长度的增加，天线总辐射能量和辐射电阻逐渐增大；在H-1等离子体中螺旋天线主要激发m=±1模式波，其中m=-1模式波一般在等离子体边界传播；全波螺旋激发的波能量主要沉积在等离子体边界，导致等离子体径向能量较强的非均匀吸收，加热效果不理想；半波螺旋天线激发的波可深入主等离子体区域传播，等离子体径向能量吸收相对均匀，加热效果好。

关键词: 螺旋波, H-1仿星器, 螺旋天线, 有限元

Abstract:

Helicon waves propagation and absorption of helical antenna is studied by solving Maxwell equations with finite element method and experimental parameters of H-1 stellarator. As axial length of helical antenna increases, total radiation resistance and radiation energy of the antenna increase as well. In H-1 plasma, helical antenna mainly excites m=±1 waves, and the m=-1 waves spread generally at the plasma boundary. Energy of the excited modes of full-wavelength helical antenna is mainly deposited at plasma boundary, which causes inhomogeneous radial energy absorption and heating. Excited waves of half-wavelength helical antenna penetrate deeply into the bulk plasma, which leads to relatively uniform radial energy absorption and heating.

Key words: helicon wave, H-1 stellarator, helical antenna, finite element

中图分类号:

O532

杜丹, 李帅, 阳璞琼, 冯军, 向东, 龚学余. 螺旋天线轴向长度对螺旋波传播、吸收的影响[J]. 计算物理, 2021, 38(6): 713-721.

Dan DU, Shuai LI, Puqiong YANG, Jun FENG, Dong XIANG, Xueyu GONG. Helicon Waves Propagation and Absorption: Effect of Axial Length of Helical Antenna[J]. Chinese Journal of Computational Physics, 2021, 38(6): 713-721.

图/表 11

图1 H-1仿星器结构示意图

Fig.1 Structural schematic of H-1 stellarator

图2 H-1等离子体源的横向截面

Fig.2 Transverse cross-section of H-1 plasma source

图3 螺旋天线示意图

Fig.3 A schematic of helical antenna

图4 |Jθ(r, m, kz)|2的谱分布随螺旋天线轴向长度L的变化

Fig.4 Spectral distributions of |Jθ(r, m, kz)|2 at different axial length of helical antenna L

图5 螺旋天线的辐射电阻随天线轴向长度L的变化

Fig.5 Radiation resistance of helical antenna as functions of axial length of antenna L

图6 径向功率沉积Qt(r)随天线轴向长度L的变化

Fig.6 Radial power deposition Qt(r) at different axial length of antenna L

图7 m=+1的模式波的径向功率沉积Q+1(r)随天线轴向长度L的变化

Fig.7 Radial power deposition Q+1(r) of the m=+1 mode at different axial length of antenna L

图8 m=-1的模式波的径向功率沉积Q-1(r)随天线轴向长度L的变化

Fig.8 Radial power deposition Q-1(r) of the m=-1 mode at different axial length of antenna L

表1 4种不同轴向长度螺旋天线的功率沉积分布

Table 1 Power deposition distribution of four helical antennas with different axial length

	L=4.5 cm	L=9.0 cm	L=13.5 cm	L=18.0 cm
P_总/kW	3.156 0	7.266 1	11.324 2	15.437 0
P′_总/kW	0.303 4	0.698 8	0.363 9	0.024 4
P″_总/kW	2.841 9	6.486 6	10.912 4	15.397 8
P₊₁/kW	1.234 8	2.757 6	3.551 8	4.308 8
P′₊₁/kW	0.301 4	0.694 9	0.362 0	0.024 2
P″₊₁/kW	0.855 7	1.997 1	3.153 0	4.276 7
P_-1/kW	1.797 9	4.226 4	7.361 3	10.585 0
P′_-1/kW	8.91×10^-5	1.84×10^-4	1.36×10^-4	8.19×10^-5
P″_-1/kW	1.795 1	4.219 2	7.354 2	10.578 2
P′₊₁/P′_总	99.34%	99.44%	99.48%	99.18%
P″_-1/P_-1	99.84%	99.83%	99.90%	99.94%
P′_总/P_总	9.61%	9.62%	3.21%	0.16%
P″_总/P_总	90.05%	89.27%	96.36%	99.75%

图9 |Jθ(r, m, kz)|2(点线)和|E⊥，-1(r, m, kz)|2(实线)的谱分布(a) L=9.00 cm；(b) L=18.0 cm

Fig.9 kz- spectra of |Jθ(r, m, kz)|2 (dot line) and |E⊥, -1(r, m, kz)|2 (solid line) (a) L=9.00 cm; (b) L=18.0 cm

图10 |Jθ(r, m, kz)|2(点线)和|E⊥(r, m, kz)|2(实线)的谱分布(a) L=9.00 cm；(b) L=18.0 cm

Fig.10 kz- spectra of |Jθ(r, m, kz)|2 (dot line) and |E⊥(r, m, kz)|2 (solid line) (a) L=9.00 cm; (b) L=18.0 cm

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螺旋天线轴向长度对螺旋波传播、吸收的影响

Helicon Waves Propagation and Absorption: Effect of Axial Length of Helical Antenna

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