This work presents improvements for inclined thin wire simulation in finite-difference time-domain (FDTD). Modelling of the corners of staircase geometries is proposed by adding the accumulated charges at an edge region. This correction is important due to the delay of the electromagnetic fields propagation on the stairs. To test the validity of the proposition, the v-dipole fed by a resistive voltage source is designed and implemented. A significant improvement can be noted in the calculation of the impedance when the stairs of the geometry are more discretised and the charge correction is applied. Also, a surprising outcome is issued when the stair formed by an inclined thin wire has only one cell per stair: a perfect emulation of an inclined wire happens when the charge correction is applied, showing that a correction of the propagation time of the electromagnetic fields is automatically performed. Based on the propagation time adjustments, an effective length model has also been proposed to emulate the real size of the inclined wire by the size correction of the staircase geometry. Although the effective length depends on the FDTD parameters initial setup, it has a fast response and a low complexity implementation with good accuracy.

中文翻译：

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FDTD网格中楼梯边缘和斜线有效长度的电荷校正公式

这项工作提出了有限时域（FDTD）中倾斜细线仿真的改进。通过在边缘区域添加累积电荷，提出了楼梯几何形状角的建模。由于电磁场在楼梯上传播的延迟，这种校正很重要。为了测试该命题的有效性，设计并实现了由电阻电压源馈电的V偶极子。当几何形状的阶梯更离散并且应用电荷校正时，可以在阻抗的计算中注意到显着的改进。同样，当由倾斜的细线形成的楼梯的每个楼梯只有一个单元时，会发出令人惊讶的结果：当应用电荷校正时，会发生倾斜线的完美仿真，表示自动校正了电磁场的传播时间。基于传播时间的调整，还提出了有效长度模型，以通过楼梯几何尺寸的校正来模拟倾斜钢丝的实际尺寸。尽管有效长度取决于FDTD参数的初始设置，但它具有响应速度快和实现精度低的复杂度较低的特点。