时域电场积分方程的稳定求解

A stable solution of time-domain electric-field integral equation

提出了一种基于时域电场积分方程的稳定精确数值方法计算任意形状理想导体的时域散射。矢量位的时间导数采用中心差分近似 ,而标量位采用时间平均表示 ,并且标量位和矢量位在单元上随时间变化采用单元中心处的值来计算。将该方法与隐式方法相结合可以得到稳定精确的求解结果 ,而不必对电流密度进行时间或空间平均的处理过程。从模拟结果证明了该方法的稳定性和精确性。

A new stable and accurate numerical approach using time-domain electric integral equation (TDEFIE) is presented to calculate transient scattering from arbitrarily shaped conducting bodies. The derivative of the magnetic vector potential is approximated with a central finite-difference,the scalar potential is time-averaged by dividing it into two terms,and both the scalar and vector potential terms are evaluated at the centroids of the patch. This approach combining with an implicit method produces stable and accurate results without resort to any averaging processes. Simulation results demonstrate the stability and accuracy of the approach.