Convergence of an Explicit Iterative Leap-frog Discontinuous Galerkin Method for Time-domain Maxwell's Equations in Anisotropic Materials
This work provides a convergent numerical method for simulating electromagnetic wave propagation in anisotropic materials, which is relevant for applications like modeling light scattering in the retina.
The paper proposes an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials, derives convergence properties, and demonstrates a priori error estimates numerically. It also simulates light scattering in the retina as a real-world application.
We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave's propagation through the eye's structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.