计算物理 ›› 2021, Vol. 38 ›› Issue (6): 713-721.DOI: 10.19596/j.cnki.1001-246x.8323
杜丹1, 李帅1, 阳璞琼2, 冯军3, 向东4, 龚学余4,*()
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:
Dan DU1, Shuai LI1, Puqiong YANG2, Jun FENG3, Dong XIANG4, Xueyu GONG4,*()
Received:
2020-12-21
Online:
2021-11-25
Published:
2022-04-27
Contact:
Xueyu GONG
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。
中图分类号:
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.
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% |
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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