Dual Grid Finite-Difference Time-Domain Method for Maxwell Equations in Complex Media
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In recent years, the study of electromagnetic waves and their propagation through non-traditional material, such as nonlinear and magneto-electrically coupled materials, has become one of the more interesting topics in electromagnetics. Nonlinear materials exhibit phenomena not present in traditional media such as high harmonic generation and self-focusing. Both these properties are desirable in the field of optics, especially in the growing field of nanophotonics. Because of the interesting nature of these materials, simulation is desired. While there are FDTD based methods for the simulation of these types of materials, they tend to be unstable or computationally intensive from a run-time perspective. In this dissertation, we propose a Dual Grid FDTD method to address these issues. The Dual grid method is capable of stably simulating nonlinear dispersive materials as well as magneto-electric materials. In this work we verify that this is the case and also show, that from a run-time standpoint this method is more time-efficient than preexisting methods.