Higher-Order FDTD schemes in contemporary computational electromagnetics: theoretical advances and applications

摘要

Przedstawiono przegląd schematów różnicowych wyższego rzędu w dziedzinie czasu - obiecującego narzędzia modelowania w elektromagnetyzmie obliczeniowym. Zwrócono szczególną uwagę na analizę współczesnych konstrukcji falowodowych i antenowych.%The present paper provides a brief and systematically-organized survey of higher-order finite-difference time-domain (FDTD) schemes, unraveling their potential role as a promising modeling tool in modern computational electromagnetics. Recognized as a major breakthrough in the evolution of the traditional Yee's technique, higher-order FDTD spatial/temporal operators remain the topic of an intense scientific research. Among their incontrovertible advantages, one can discern the advanced accuracy levels even for coarse lattice resolutions, the fast convergence rates, and the controllable stability. Actually, as the fabrication standards of avant-garde systems get stricter, it is evident that such properties become very attractive for the accomplishment of optimal and credible designs. Towards this goal, particular attention is drawn on the analysis of real-world applications, like contemporary waveguide and antenna structures. Numerical verification, through several demanding examples, substantiates the merits and the contributive nature of the enhanced schemes as a means to the researcher pursuing effective substitutes to customary approaches.