ADVANCED NUMERICAL METHODS FOR ELECTROMAGNETIC WAVE PROPAGATION IN COMPLEX NONLINEAR MEDIA

Abstract

The study of nonlinear media for medical imaging, wireless communication, and metamaterial design technologies all rely on the electromagnetic wave propagation in nonlinear media to ensure utility. Nonlinear media introduce additional complexity due to variations in intensity, dispersion, and absorption, which necessitate precise numerical modeling for accurate analysis. In this regard, FDTD, FEM, and BEM constitute the primary scope of this research. We introduce an additional methodology for adaptive mesh refinement and multiscale modeling that significantly improves simulation precision, efficiency, and accuracy. Working and structure diagrams are created to provide an overview of the framework and solution that is developed. To reduce their resource consumption in modeling, some models are built using machine learning. The results enhance the performance of the models against the datasets in real-time, proving superior efficacy compared to existing methods. These findings hold importance across all engineering, physics, and biomedical fields, deepening the understanding of electromagnetic simulation in nonlinear environments.