Simulation study of the relationship between low-frequency communication EM wave transmissivity of plasma sheaths and irradiation microwave E-field strength
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摘要: 高超声速飞行器飞行期间，由于表面激波的影响，飞行器表面会生成等离子体鞘套。等离子体鞘套会吸收、反射和散射电磁波，导致通信信号发生衰减甚至中断，从而形成“黑障”问题。理论上来说，等离子体鞘套与微波的相互作用随微波电场幅值的变化呈现非线性，所以可能存在一个合适的电场幅值和辐照时间区间，使等离子体鞘套的电磁波透射率上升。针对这种可能性，采用有限元分析方法，对飞行器表面等离子体鞘套流场与电磁场进行二维耦合仿真，得到微波照射后等离子体鞘套透射率的改变情况。分别使用电场幅值为5×104、1×105、2.5×105、5×105 V·m−1的微波对等离子体鞘套进行30 ns的辐照，在辐照后等离子体鞘套对1.2 GHz和1.6 GHz的电磁波的最大透射率提升，为解决“黑障”问题提供了新的可能。Abstract: During the flight of hypersonic vehicle, plasma sheath will be produced on the surface due to the influence of surface shockwave. Because the plasma sheath will absorb, reflect and scatter electromagnetic waves, the communication signal will be attenuated or even interrupted, causing “blackout” problem. Theoretically, the interaction between the plasma sheath and microwave is nonlinearly changing with electric field, so there may be a suitable E-field amplitude and irradiation time interval to make electromagnetic wave transmissivity rise. For this possibility, Finite Element Analysis is used to conduct a two-dimensional coupled simulation of the plasma sheath flow field and the electromagnetic field on the hypersonic vehicle’s surface, and the change of the plasma sheath transmissivity after microwave irradiation is obtained. The plasma sheath was irradiated for 30 ns with electric field of 5×104 V/m, 1×105 V/m, 2.5×105 V/m, 5×105 V/m, respectively. The maximum transmissivity to 1.2 GHz and 1.6 GHz electromagnetic waves is enhanced after irradiation. It provides a new possibility to solve the “blackout” problem.
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Key words:
- hypersonic vehicle /
- plasma sheath /
- blackout /
- microwave /
- coupling simulation
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图 1 飞行器几何结构及周围流场示意图
Figure 1. Schematic diagram of hypersonic vehicle geometry and surrounding flow field
图 2 电磁波入射方向及模型边界条件示意图
Figure 2. Electromagnetic wave incident direction and model boundary conditions
图 5 不同电场幅值的微波的磁场分布
Figure 5. Magnetic field distribution of microwaves with different E-field amplitudes
图 6 经过30 ns辐照后等离子体振荡频率和碰撞频率的变化
Figure 6. Changes of plasma frequency and collision frequency after 30 ns irradiation
表 1 化学反应式
Table 1. Chemical reaction
No. chemical equation 1,2,3 $\mathrm{N}_2+M_1^{\mathrm{a}} \rightleftharpoons \mathrm{N}+\mathrm{N}+M_1^{\mathrm{a}}$ 4,5 $\mathrm{N}_2+M_1^{\mathrm{b}} \rightleftharpoons \mathrm{N}+\mathrm{N}+M_1^{\mathrm{b}}$ 6,7,8 $\mathrm{O}_2+M_2^{\mathrm{a}} \rightleftharpoons \mathrm{O}+\mathrm{O}+M_2^{\mathrm{a}}$ 9,10 $\mathrm{O}_2+M_2^{\mathrm{b}} \rightleftharpoons \mathrm{O}+\mathrm{O}+M_2^{\mathrm{b}}$ 11,12,13 $\mathrm{NO}+M_3^{\mathrm{a}} \rightleftharpoons \mathrm{N}+\mathrm{O}+M_3^{\mathrm{a}}$ 14,15 $\mathrm{NO}+M_3^{\mathrm{b}} \rightleftharpoons \mathrm{N}+\mathrm{O}+M_3^{\mathrm{b}}$ 16 $\mathrm{N}_2+\mathrm{O} \rightleftharpoons \mathrm{NO}+\mathrm{N}$ 17 $\mathrm{NO}+\mathrm{O} \rightleftharpoons \mathrm{O}_2+\mathrm{N}$ 18 $\mathrm{N}+\mathrm{O} \rightleftharpoons \mathrm{NO}^{+}+\mathrm{e}^{-}$ 
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表 2 最大透射率
Table 2. Maximum transmissivity
frequency/GHz E/(kV·m−1) maximum transmissivity/% irradiation time/ns 1.2 0 21.0 0 1.2 50 71.1 30 1.2 100 73.3 30 1.2 250 70.4 26 1.2 500 46.5 2 1.6 0 27.7 0 1.6 50 71.8 30 1.6 100 73.7 30 1.6 250 70.7 24 1.6 500 46.0 2
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