In this talk, we present a computational framework that exploits periodic boundary conditions to accelerate the modeling of the interaction of finite periodic structures with practical sources, such as Gaussian and Bessel beams. To date, these problems are addressed by the brute-force simulation of a finite number of unit cells in all periodic directions, terminated by perfectly matched layers. Building on a recently introduced technique for the FDTD-based modeling of finite periodic structures, combining unit cell simulations with fast simulations of the edges of a finite structure, we introduce arbitrary sources via the array scanning method. Hence, our approach is both efficient and practical, broadband (as it is time domain-based) and highly parallelizable (as it employs multiple, small-sized, independent simulations for wave-vectors within the Brillouin zone of the structure). To elucidate the proposed approach, we present examples of cylindrical wave and Gaussian beam interactions with finite photonic crystal and grating geometries, efficiently replicating the results of brute-force simulations on MEEP, a popular open source FDTD package.
Richardson, Texas, United States, Virtual: https://events.vtools.ieee.org/m/478994