提出用时域积分方程法(TDIE)与时域基尔霍夫近似法(TDKA)的混合算法来求解二维导体随机粗糙面及其上方二维导体目标的复合瞬态散射,推导出了在TM波入射情形下显式及隐式格式的时间步进方程.将粗糙面与目标分别进行TDKA和TDIE计算,并考虑目标与粗糙面之间的耦合,对TDKA和TDIE进行混合迭代,既大大降低了粗糙面求解的复杂度,又保证了计算精度.数值算例中,考虑了角反射器(开放体)和圆柱(封闭体)两种目标,分别计算了目标表面电流响应和电场远场响应.计算结果表明,和单纯TDIE法相比,本文混合方法计算效率大大提高,且有着良好的计算精度.数值算例还分析了目标对散射的影响.
A hybrid algorithm of time domain integral equation (TDIE) and time domain Kirchhof approximation (TDKA) is proposed to compute the TM transient scattering from a 2-dimensional (2D) perfectly conducting (PEC) target above 2D PEC randomly rough surface. Explicit and implicit procedures of Marching-on-in-time (MOT) are developed, respectively. TDKA is applied to the rough surface while TDIE is applied to the target, and the mixed iteration of TDIE/ TDKA is introduced to take into account the interactions between the target and the rough surface. In numerical examples, both bent strip (open structure) and cylinder (closed struc - ture) are considered and numerical results present the target surface current response and the far scattered electric field response, which are compared with those obtained from whole TDIE. Numerical results demonstrate the efficiency and the accuracy of the hybrid algorithm. Still in numerical examples, the influence on the far scattered electric field caused by the target is discussed.