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球体内部电场的获取是介质目标电磁散射特性计算中的关键技术问题。常用方法之一是基于Mie理论的递推算法,由于小宗量时Riccati-Bessel函数存在奇异,使得现有算法存在计算不够稳定的缺点。针对这一问题,提出了一种分层介质球内场获取的改进算法。该算法提出了新的内场展开系数递推关系,改进了现有的Riccati-Bessel函数递推式,解决了Riccati-Bessel函数的奇异性问题。同时,与FEKO 5.4的计算结果比对表明,该算法具有很高的精度,能够为复杂介质散射特性研究提供参考和对比。
The acquisition of the electric field inside the sphere is a key technical issue in the calculation of the electromagnetic scattering properties of the target. One of the commonly used methods is the recursive algorithm based on Mie theory. Due to the singularity of the Riccati-Bessel function for small quantities, the existing algorithms have the disadvantage that the calculation is not stable enough. To solve this problem, an improved algorithm for obtaining inner field of layered media balls is proposed. The new algorithm proposes a new recursion of coefficient expansion in the inner field, improves the existing Riccati-Bessel function recurrence, and solves the singularity problem of Riccati-Bessel function. At the same time, the comparison with FEKO 5.4 shows that the proposed algorithm has high precision and can provide reference and contrast for the study of scattering properties of complex media.