Introduction
The development of this graphical user interface was supported by grants DMS-1411393 and DMS-1814902 from the National Science Foundation at Louisiana State University under the guidance of PI Stephen P. Shipman. As one of the projects covered by the grant, undergraduate students created the mathematical code and web interface to compute and simulate harmonic electromagnetic fields in layered media. The goal is to make available to the community a versatile online application for the computation of EM fields in media with any number of layers having arbitrary electric and magnetic tensors. The objectives are (1) to allow scientists to explore phenomena of scattering, guided modes, and resonance in the most general EM layered media and (2) to provide a pedagogical tool for students and professionals to learn EM in layered media.
The project is in its initial stages and is being further developed by undergraduate students through various funding sources, including President’s Aid from Louisiana State University. Further developments include a tutorial on the theory of electrodynamics in layered media, a user manual, computation of transmission and reflection coefficients as functions of frequency and angle of incidence, and computation of dispersion relations for pure and leaky guided modes.
About Us
Stephen Shipman
Stephen Shipman, professor of mathematics at Louisiana State University, oversees this project as an undergraduate component of National Science Foundation grants DMS-1411393 and DMS-1814902.
Noah Templet
LSU '22 Computer Science Major. Software engineer with interests in web design, machine learning, computer hardware, and computer networking.
Michael Sheppard III
LSU '21 Computer Science Major, Mathematics Minor. Software engineer with interests in web design, mobile developement, and AI.