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中国物理学会期刊

高超声速模型尾迹电子密度二维分布反演方法

CSTR: 32037.14.aps.70.20212345

Inversion method of two-dimensional distribution of electron density in hypersonic model wake

CSTR: 32037.14.aps.70.20212345
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  • 弹道靶利用二级轻气炮将模型加速到高超声速状态, 模型在靶室内超高速飞行时形成等离子体尾迹. 为实现高超声速模型尾迹电子密度径向二维分布诊断, 利用七通道微波干涉仪测量系统获得了高超声速模型尾迹截面不同位置处平均电子密度. 该系统采用一发七收的方式, 实现平面波照射等离子体及平面波接收, 天线波束可完全覆盖尾迹径向范围. 多通道微波干涉仪数据处理过程常将等离子体视为分层介质, 考虑到分层界面上折射效应的影响, 本研究利用射线追踪方式建立电磁传播模型, 结合测量数据建立目标函数, 通过遗传算法优化来反演高超声速模型尾迹电子密度径向二维分布. 该数据处理方法的电子密度反演结果与相同来流条件下的数值模拟结果对比吻合较好, 初步验证了该方法的有效性. 分析了分层模型对电子密度分布特性的影响, 结果表明利用七层模型对尾迹建模效果最佳, 且适用于不同厚度尾迹, 最大化利用接收通道数, 确保了计算精度. 利用该方法实现弹道靶高超声速球模型尾迹电子密度二维分布诊断, 并给出了给定实验状态下模型尾迹电子密度二维分布的一些规律.

     

    The ballistic target uses a two-stage light gas gun to launch the model into a hypersonic state, and the model forms a plasma wake when flying at a hypersonic speed in the target chamber. In order to obtain the radial two-dimensional distribution of transient plasma electron density in the wake of hypervelocity model, a seven-channel Ka-band microwave interferometer measuring system is developed. In the transceiver system, a transmitting antenna achieves the plane wave irradiation plasma, and a seven-port array antenna is used to receive plane waves which are passing through the plasma: the antenna beam can completely cover the radial range of the wake. The shortest response time of measuring system is 1 s, and electron density measurement range of the interferometer measuring system is 1011–1013/cm3 . The plasma is often treated as layered medium in data processing of multichannel microwave interferometer. Taking into consideration the effect of refraction on the stratified interface in this work, the ray tracing (RT) method is used to establish the electromagnetic propagation model. Combined with the measurement data to construct the objective function, the genetic algorithm (GA) is used to invert the radial two-dimensional distribution of the electron density under different test conditions. The result shows good agreement with the numerical simulation under the same test state, which proves the the data processing method reliable. Then, the influence of the layered model on the calculation result is analyzed, which shows that the seven-layer model is suitable for the wake modeling under given experimental conditions, and thus maximizing the number of receiving channels and ensuring the accuracy. The RT method is used for the first time to achieve the two-dimensional distribution of electron density in the wake of hypervelocity projectile, and some rules of two-dimensional electron density distribution of the hypersonic model under given experimental conditions are realized.

     

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