Efficient Electromagnetic Simulation of Microstrip Circuits With Uniaxial Substrates Using the Method of Moments

作者：Han Lin, Taihe Li, Lixiao Wang, Jianliang Zhuo, Mingwei Zhuang, Qing Liu · 发表于：IEEE Transactions on Microwave Theory and Techniques · 年份：2026 · DOI：10.1109/tmtt.2026.3662492 · 被引用次数：1 · 研究领域：Electromagnetic Scattering and Analysis、Electromagnetic Simulation and Numerical Methods、Electromagnetic Compatibility and Noise Suppression

In this work, the method of moments (MoM) for solving surface integral equations (SIEs) is presented for the simulation of circuits with uniaxial anisotropic substrates. The uniaxial anisotropic substrate is modeled as a planar layered uniaxial anisotropic background, and the corresponding layered medium Green’s functions (LMGFs) are utilized to establish an SIE for microstrip circuits. In order to remove the singularity arising in the integral equation (IE) formulated with the Green’s function of layered uniaxial anisotropic media at the chip-circuit scale, the radial–angular (RA) transform method is adopted to eliminate the first- and second-order singularities, corresponding to the mixed-potential IE (MPIE) and magnetic field IE (MFIE). Similar to isotropic substrate-based circuits, excitation of circuits on uniaxial anisotropic substrates through lumped ports enables the determination of their scattering parameter matrix. The primary contribution of this work is to broaden the applicability of the MoM in circuit simulation by enabling rigorous modeling of uniaxial substrates, thereby extending MoM-based solvers beyond their conventional formulation for microstrip circuits with isotropic substrates. In comparison with traditional approaches and commercial solvers, the proposed method requires meshing only of the circuit rather than the entire substrate. As a result, the number of degrees of freedom is greatly reduced, memory usage is significantly lowered, and the overall ...