用MFIE、Müller和多迹Müller积分方程抑制远场计算中的低频抵消误差
Suppressing Low-Frequency Cancellation Errors in Far-Field Computation with the MFIE, Müller, and Multitrace Müller Integral Equations
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中文总结 AI 辅助
该研究针对MFIE与Müller积分方程的低频抵消误差，结合拟亥姆霍兹投影器与定制重标度程序，提出稳健数值格式，经多类构型实验验证可在宽频率范围实现精确远场预测。
中文摘要 AI 辅助
本文针对理想电导体的磁场积分方程（MFIE），以及均匀和复合介质目标的Müller积分方程，提出了用于抑制低频抵消误差的稳健数值格式。所提方法将分离表面电流亥姆霍兹分量的拟亥姆霍兹投影器，与定制的重标度程序相结合，该程序能保留对远场精确评估至关重要的分量，避免有限精度抵消。所得格式在密网格和低频区域保留了混合MFIE与Müller离散化的条件数特性。涉及单连通与多连通散射体、复合介质结构、多尺度及高对比度构型的数值实验表明，所提方法在从全波区到极低频的宽频率范围内均能产生精确的远场预测结果。
英文摘要
This paper presents robust numerical formulations for suppressing low-frequency cancellation errors in the magnetic field integral equation (MFIE) for perfect electric conductors and the Müller integral equations for homogeneous and composite dielectric objects. The proposed approach combines quasi-Helmholtz projectors, which separate the Helmholtz components of the surface currents, with a tailored rescaling procedure that preserves the components essential for accurate far-field evaluation from finite-precision cancellation. The resulting formulations retain the conditioning properties of the mixed MFIE and Müller discretizations in the dense-mesh and low-frequency regimes. Numerical experiments involving simply and multiply connected scatterers, composite dielectric structures, multiscale and high-contrast configurations demonstrate that the proposed methods yield accurate far-field predictions across a broad frequency range, from the full-wave regime to extremely low frequencies.
