色散媒質(zhì)中ADI-FDTD的PML
PML Implementation for ADI-FDTD in Dispersive Media
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摘要: 基于交替方向隱式(ADI)技術的時域有限差分法(FDTD)是一種非條件穩(wěn)定的計算方法，該方法的時間步長不受Courant穩(wěn)定條件限制，而是由數(shù)值色散誤差決定。與傳統(tǒng)的FDTD相比, ADI-FDTD增大了時間步長, 從而縮短了總的計算時間。該文采用遞歸卷積(RC)方法導出了二維情況下色散媒質(zhì)中ADI-FDTD的完全匹配層(PML)公式。應用推導公式計算了色散土壤中目標的散射，并與色散媒質(zhì)中FDTD結果對比，在大量減少計算時間的情況下，兩者結果符合較好。Abstract: Alternating Direction Implicit-Finite Difference Time Domain(ADI-FDTD) is unconditionally stable and the maximum time step size is not limited by the Courant stability condition, but rather by numerical error. Compared with the conventional FDTD method, the time step size of ADI-FDTD can be enlarged arbitrarily. In this paper 2D PML implementation is proposed for ADI-FDTD in dispersive media using recursive convolution method. ADI-FDTD formulations for dispersive media can be derived from the simplified Perfectly Matched Layer (PML). Numerical results of ADI-FDTD with PML for dispersive media are compared with FDTD. Good agreement is observed.
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