Curved Continuously Inhomogeneous and Anisotropic Higher Order Finite Elements for Accurate Large-Domain Electromagnetic Modeling

A summery review of several topics in higher order computational electromagnetic (CEM) are presented. First, constant speed parametrization (CSP) mapping between the parent and the final computational domain is presented. Next, we construct, numerically model, and analyze transformation-based metamaterial invisibility cloaks. These cloaks are continuously inhomogeneous and anisotropic. Finally, we nonrigorously implement symmetric second-order absorbing boundary condition (ABC) coupled with higher order curl-conforming basis functions and curved finite elements. We point out the differences that exist when the second-order ABC is used in low-and high-order CEM. Each topic is covered by at least one numerical example.