A Novel Space-Time Building Block Methodology for Transient Electromagnetic Analysis

Abstract

This paper investigates a space-time building block methodology for efficient time-domain analysis of multi-scale, locally periodic structures. By leveraging the principles of linear superposition and space-time causality in wave physics, the 4D simulation domain is represented by a few space-time building blocks, which are constructed upon 3D spatial unit cell and 1D time unit. The work results in novel time-evolution schemes, which exhibit high-order accuracy and achieve concurrency and parallelism in both spatial and temporal dimensions. The outcomes lead to significantly reduced computational resources. The capability and benefit of proposed algorithms are illustrated through representative applications.