抛物方程SSFT 解法的快速算法及其应用研究
Study on Fast Algorithm of SSFT for Parabolic Equationand Its Application
  
DOI:
中文关键词:  抛物方程,分步傅里叶解法,快速算法,电波传播,雷达
英文关键词:parabolic equation, split-step Fourier transform, fast algorithm, radio wave propagation, radar
基金项目:
作者单位
张青洪 中国电子科技集团公司第十研究所,成都 610036 
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中文摘要:
      为了快速预测三维复杂环境中雷达、移动基站等的覆盖性能,提出一种三维抛物方程方法即分步傅 里叶变换(SSFT)解法的快速计算方法,并给出了具体公式推导。将SSFT 解法快速算法的计算结果与双射线模型以 及已有的奇偶分解法进行了对比,结果表明,其与另外两种方法的结果吻合很好,且与奇偶分解法相比,计算速度提 高了近1. 61 倍,由此验证了该快速算法的正确性和高效性。在此基础上,模拟了雷达在复杂海上环境中的电磁衰减 特性,探讨了雷达探测的盲区,这将为复杂环境中雷达探测性能的评估提供一定的理论参考。
英文摘要:
      To quickly predict the coverage performance of radar and mobile base station in three-dimensional complex environment, a fast algorithm of SSFT for three dimensional parabolic equation is proposed, and the specific formula derivation is given. Firstly, the results of fast algorithm are compared with two-ray model and the existing approach of decomposing the field into odd and even parts, it shows that the fast algorithm is in good agreement with the other two methods, and the calculation speed is promoted nearly 1. 61 times compared with the approach of decomposing the field into odd and even parts, which verifies the correctness and efficiency of fast algorithm. On this basis, the electromagnetic attenuation characteristics of radar in complex marine environment are simulated, and the radar detection blind area is discussed, which will provide theoretical reference for the evaluation of radar detection performance in complex environment.
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