Advanced Electromagnetism and Nanoplasmonics in FEniCSx

The new approaches for speeding up calculations to allow High Performance Computing (HPC) in the field of computational electromagnetism, together with longevity and portability of the code, are a complex but stimulating challenge. The Finite Element Method (FEM) is widely used to solve harmonic Maxwell’s equations, that describe every electromagnetic and optical phenomena concerning light-matter interactions at nanoscale, for the simulation of nanophotonic devices. From a computation perspective the FEM resolution of the electromagnetic problem is very interesting as it presents many challenges. In fact, due to the nonlocal nature of Maxwell’s equations (in frequency domain), the matrix associated to the differential problem is non-sparse such that the use of traditional hardware to acceleration (i.e., GPUs) is ineffective. Moreover, the most used FEM software require the purchase of a license for their use, and they often don’t provide all the details of the underlying code.The research in this field could provide novel computational tools that overcome these issues and that give results to allow the study of both the properties of some fundamental phenomena and the behavior of nanophotonic systems. So, our main goal is to implement and then optimize some new computational ways and paradigms in this context.