Taming singular fields in electromagnetic devices containing sharp corners

What is it about?

A new computational technique is introduced to accurately compute singular fields in sharp edges and corners in electromagnetic devices. By combining Hermite finite element method and analytical regularization, this new approach is able to finely resolve the steeply varying field gradients at reentrant corners while simultaneously ensuring that the field profile at the rest of the system is sufficiently captured.

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Photo by Ahmad Dirini on Unsplash

Photo by Ahmad Dirini on Unsplash

Why is it important?

In electronics, antenna engineering, or optoelectronics, singularities arising from sharp turning points can greatly affect the performance of the devices and therefore need to be accounted for. The method introduced here will be important for the modeling and analysis of electromagnetic fields in systems of ever-increasing complexity. Moreover, since it is grounded in the analysis of the Helmholtz equation, the method can also be applied to solve wave equations in various other areas such as thermal transport, electrodynamics of meta-materials, and elastic materials.