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融合波模和射线理论的矿井电波传播模型

         

摘要

We develop a fusion model of electromagnetic waves propagation in coal mine tunnels.We modify the ray model by the modal theory of dielectric waveguide.By this approach we decide how many rays are launched, as well as their angles of departure (AOD).According to the theory of geometrical optics, we prove the reflection law and the included angle law of the projection of the propagation path of a ray in a rectangular tunnel.On this basis, we deduce the arriving position, the reflection number and the traveling distance of a ray as functions of its AOD when the ray hits the cross section where the receiver is located.We decide whether a ray hits the receiver or not by the reception spheres.Finally,the theoretical model is validated by experimental measurements.%本文提出了电波在煤矿井巷内传播的融合模型:利用波导波模理论修正射线模型,确定巷道内源射线的个数及其离开发射机的方向;通过几何光学基本定律证明矩形巷道内射线传播路径投影的反射定律和夹角定律,推导出射线到达接收天线所在巷道截面的位置、经历的反射次数、路径长度等与射线离开角的关系,以改进主动射线跟踪法,简化计算;运用接收球原理判断各射线经反射后能否到达接收机.经仿真并与实测数据比较,验证了模型的正确性.

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