Investigation of Scattered H-Wave Based on DRTM

M. Takematsu, K. Uchida, J. Honda
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Abstract

This paper is concerned with a numerical investigation of magnetic wave, scattered by a conducting cylinder to check the accuracy of numerical results based on the discrete ray tracing method (DRTM). First, the boundary profile of the cylinder is approximated in terms of piecewise-linear plates. Source and image rays are searched for the approximated boundary composed of finite number of plates. Second, numerical computations are carried out for total fields, superposing the scattered fields from each conducting plate, using source and image diffraction coefficients with the Fresnel function. Numerical results of H-wave based on DRTM are compared with rigorous solutions given by use of the Bessel and Hankel functions. Finally, it is demonstrated that the DRTM results of H-wave, are in good agreement with those results obtained by the rigorous solutions and we show an appropriate guideline to discretize the boundary to achieve as small errors as possible.
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基于DRTM的散射h波研究
本文采用离散射线追迹法(DRTM)对经导电圆柱散射的电磁波进行了数值研究,以验证数值结果的准确性。首先,用分段线性板来近似圆柱的边界轮廓。对源射线和像射线进行搜索,寻找由有限个板组成的近似边界。其次,利用源衍射系数和像衍射系数与菲涅耳函数叠加各导板散射场,对总场进行了数值计算。将基于DRTM的h波数值结果与使用Bessel和Hankel函数给出的严格解进行了比较。最后,证明了h波的DRTM结果与严格解的结果很好地吻合,并给出了适当的边界离散准则,以实现尽可能小的误差。
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