AI 中文总结
该研究针对开放双各向异性超表面模拟，提出结合广义薄片过渡条件的单迹表面积分方程求解器，用一组等效表面电流，适用于多种几何形状，经验证和实际建模，相比多迹公式在减少未知数时误差更低。
AI 中文摘要
本文提出了一种结合广义薄片过渡条件（GSTCs）的单迹表面积分方程（SIE）求解器，用于三维（3D）开放双各向异性超表面的模拟。超表面被建模为无限薄的非封闭薄片，GSTCs通过四个表面磁化率张量来强制电磁场不连续。该求解器在薄片上使用一组等效表面电流，取代了先前多迹公式中使用的两组电流。通过作用于这些电流的SIE算子表示的薄片两面的散射场被代入GSTCs。然后使用Rao-Wilton-Glisson基函数对所得方程组进行离散化。该求解器直接对开放超表面进行建模，无需人工封闭，适用于平面和曲面几何形状。它针对极化旋转和完美反射的解析解进行了验证，并用于对一个实际的宽带吸收器进行建模，其磁化率张量从全波模拟数据中获取。直接比较表明，单迹公式在使用显著更少未知数的情况下比多迹公式具有更低的误差。
英文摘要
A single-trace surface integral equation (SIE) solver incorporating generalized sheet transition conditions (GSTCs) is presented for the simulation of three-dimensional (3D) open bianisotropic metasurfaces. The metasurface is modeled as an infinitesimally thin, non-enclosing sheet across which the GSTCs enforce the electromagnetic field discontinuities through four surface susceptibility tensors. The proposed solver uses a single set of equivalent surface currents on the sheet, in place of the two sets used by prior multi-trace formulations. The scattered fields on both faces of the sheet, expressed through SIE operators acting on these currents, are substituted into the GSTCs. The resulting system of equations is then discretized using Rao--Wilton--Glisson basis functions. This solver models an open metasurface directly, without an artificial closure, and applies to both planar and curved geometries. It is validated against analytical solutions for polarization rotation and perfect reflection, and is used to model a realistic broadband absorber whose susceptibility tensors are retrieved from full-wave simulation data. A direct comparison shows that the single-trace formulation attains lower error than a multi-trace formulation while using significantly fewer unknowns.
