Considering the wide acceptability and practicability of single-scatter path loss (PL) model of non-line-of-sight (NLOS) ultraviolet communications (UVC) in noncoplanar geometry and the corresponding complexity of the triple integrals in the exact single-scatter PL model, a novel simplified PL model is proposed in this work with better analytical tractability and high accuracy. By approximately regarding the differential volume as a circular and thin plate, the triple integrals in the exact single-scatter PL model can be reduced to a single integral. With different baseline ranges between transmitter and receiver, beam divergence angles, receiver field-of-view (FOV) angles, inclination angles and azimuth angles taken into account, the results of the proposed PL model are compared with those of an exact single-scatter PL model, a Monte Carlo numerical model, and another recently reported approximate single-scatter PL model, which is called spherical crown (SC) model. Compared with the SC model, the proposed single-scatter PL model is obtained in closed form. Besides, taking the exact single-scatter PL model as the benchmark, the root-mean-square error (RMSE) of the proposed model and the SC model are calculated for comparison. It is demonstrated that the proposed model could achieve better accuracy than SC model under most conditions of our interest. Besides, it is shown that the RMSE of the proposed model is less than 0.4 dB for all considered transceiver geometry and the execution time of the proposed PL model is significantly reduced to less than 1% of the exact single-scatter PL model’s, which manifests the effectiveness of the proposed model. Finally, the experimental results are also provided to verify the correctness of the proposed model.

中文翻译：

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非共面几何中非视距紫外线通信的简化闭式单散射路径损耗模型

考虑非共面几何中的非视距（NLOS）紫外线通信（UVC）的单散射路径损耗（PL）模型的广泛可接受性和实用性，以及精确单散射PL中三重积分的相应复杂性该模型提出了一种新颖的简化的PL模型，具有更好的分析可处理性和较高的准确性。通过将微分体积近似地视为圆形和薄板，可以将精确的单散射PL模型中的三重积分简化为单个积分。考虑到发射器和接收器之间的基线范围不同，波束发散角，接收器视场角（FOV）角，倾斜角和方位角，将拟议的PL模型的结果与精确的单散射的结果进行了比较PL型号 一个蒙特卡洛数值模型，以及另一个最近报道的近似单散射PL模型，称为球冠（SC）模型。与SC模型相比，本文提出的单散射PL模型是封闭的。此外，以精确的单散射PL模型为基准，计算了所提出模型和SC模型的均方根误差（RMSE），以进行比较。结果表明，在我们感兴趣的大多数条件下，所提出的模型都比SC模型具有更高的准确性。此外，还表明，对于所有考虑的收发器几何形状，所提出的模型的RMSE均小于0.4 dB，并且所提出的PL模型的执行时间显着减少，不到精确的单散射PL模型的1％。所提模型的有效性。最后，