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Solid-Angle Error in the Magnetic-Field Integral Equation for Perfectly Electric Conducting Objects

机译:完美导电物体的磁场积分方程中的立体角误差

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摘要

For perfectly electric conducting (PEC) objects, one difference between the electric-field integral equation (EFIE) and the magnetic-field integral equation (MFIE) is related to the solid angle, which only exists in the latter. In this communication, the correct computation of solid-angle contribution in MFIE is first summarized and clarified. Through testing strictly inside triangles (TSIT) and testing on edges (TOE) with or without the correct limit value (CLV) for the solid-angle integral, six versions of MFIE are then implemented by utilizing Rao–Wilton–Glisson (RWG) functions for expansion and utilizing RWG or rotated Buffa–Christiansen (BC) functions for testing. Based on the simulations of typical sharp-edged targets and a sphere by the EFIE and six MFIEs, it is found that using CLVs for the solid-angle integral will improve the simulation accuracy substantially in comparison to that with incorrect limit values (ILVs). Moreover, if the singularities are properly handled, the MFIE implemented by TSIT can achieve the same accuracy with the MFIE implemented by TOE with CLVs.
机译:对于完全导电(PEC)的物体,电场积分方程(EFIE)与磁场积分方程(MFIE)之间的一个差异与立体角有关,而后者仅存在于其中。在此通讯中,首先总结并阐明了MFIE中立体角贡献的正确计算。通过严格测试内部三角形(TSIT)和对边缘进行测试(TOE)(对于或不对立体角积分具有正确的极限值(CLV)),然后利用Rao-Wilton-Glisson(RWG)函数实现六个版本的MFIE用于扩展并利用RWG或旋转的Buffa-Christiansen(BC)功能进行测试。基于EFIE和六个MFIE对典型锐边目标和球体的仿真,发现与不正确的极限值(ILV)相比,将CLV用于立体角积分将大大提高仿真精度。而且,如果正确处理了奇异点,TSIT实施的MFIE可以与TOE实施CLV的MFIE达到相同的精度。

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