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An explicit MOT-TD-VIE solver for time varying media

机译:用于时变媒体的显式MOT-TD-VIE求解器

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摘要

An explicit marching on-in-time (MOT) scheme for solving the time domain electric field integral equation enforced on volumes with time varying dielectric permittivity is proposed. Unknowns of the integral equation and the constitutive relation, i.e., flux density and field intensity, are discretized using full and half Schaubert-Wilton-Glisson functions in space. Temporal interpolation is carried out using band limited approximate prolate spherical wave functions. The discretized coupled system of integral equation and constitutive relation is integrated in time using a PE(CE)m type linear multistep scheme. Unlike the existing MOT methods, the resulting explicit MOT scheme allows for straightforward incorporation of the time variation in the dielectric permittivity.
机译:提出了一种求解时间域介电常数随时间变化的时域电场积分方程的显式按时行进(MOT)方案。积分方程和本构关系的未知数,即通量密度和场强,使用空间中的全部Schaubert-Wilton-Glisson函数进行半离散化。使用带限制的近似扁球面波函数进行时间插值。使用PE(CE)m型线性多步法及时积分了积分方程和本构关系的离散耦合系统。与现有的MOT方法不同,所得的显式MOT方案允许直接将介电常数的时间变化纳入其中。

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