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Wide-Angle Claerbout Scheme for Three-Dimensional Time Domain Parabolic Equation and its CN, ADI, AGE Solutions

机译:三维时域抛物方程的广角Claerbout格式及其CN,ADI,AGE解

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摘要

The wide-angle Claerbout scheme of three-dimensional time domain parabolic equation (Claerbout-TDPE) is derived in this paper, which can provide accurate results at angles within 25 degrees of the paraxial direction. At first, the Crank-Nicolson (CN) type is introduced to discretize the Claerbout-TDPE. In this way, a three-dimensional EM scattering problem can be divided into a series of two-dimensional ones. Moreover, the alternating direction implicit (ADI) type is utilized to the Claerbout-TDPE. In this way, a three-dimensional EM scattering problem can be further reduced to a series of one-dimensional ones. Furthermore, the alternating group explicit (AGE) type is introduced to the Claerbout-TDPE for higher computational efficiency. Comparisons are made among the CN, ADI and AGE types in the numerical results.
机译:本文推导了三维时域抛物线方程(Claerbout-TDPE)的广角Claerbout方案,可以在近轴方向25度以内的角度提供准确的结果。首先,引入了Crank-Nicolson(CN)类型来离散化Claerbout-TDPE。这样,可以将三维EM散射问题分为一系列的二维二维问题。此外,交替方向隐式(ADI)类型用于Claerbout-TDPE。这样,可以将三维电磁散射问题进一步简化为一系列一维电磁散射问题。此外,交替组显式(AGE)类型被引入Claerbout-TDPE,以提高计算效率。在数值结果中对CN,ADI和AGE类型进行了比较。

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