From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods

The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence (CDI) FDTD method. In this paper, formulations from time-collocated to fundamental are presented ADI CDI methods. For implemented using E-E E-H update procedures, which comprise simple concise right-hand sides (RHS) in their equations. From scheme, method is formulated conventional form, whose RHS simplified into scheme with reduced operations improved efficiency. based on locally one-dimensional (LOD) complying divergence. provided, result Based forms, further insights given relations of require considerably fewer than all ADI, LOD methods, while methods constitute most efficient date.