Electromagnetic line source scattering by the circular strip with fractional boundary condition

This article explores some core questions about how diffraction behaves when circular arc surfaces incorporate fractional boundary conditions, which extend beyond the classic Dirichlet and Neumann scenarios. Specifically, we investigate how E- and H-polarized electromagnetic waves, generated by a cylindrical source, interact with a slotted circular cylinder designed to meet these fractional boundary conditions. Notably, this is the first time such conditions have been used with circular geometries in the context of cylindrical sources.

We also analyze how different factors — such as boundary conditions, incident angles, and aperture sizes — influence resonance. Our results reveal new types of resonance that arise when the circular arc surface deviates from the conventional perfect electric or magnetic conductor settings. To support our theoretical findings, we developed a MATLAB implementation and carried out numerical simulations, providing further insight into these novel diffraction and resonance phenomena.