Design and time-domain finite element simulation of multi-functional transformation optical device

• Published in: Journal of computational and applied mathematics Vol. 450; p. 115980
• Main Authors: He, Bin, Liu, Fuhao, Liu, Xin, Yang, Wei
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2024
• Subjects: Edge elements; Maxwell’s equations; Metamaterial; Time domain finite element methods; Transformation optics; Transformation optics; Edge elements; Time domain finite element methods; Metamaterial; Maxwell’s equations
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2024.115980

In this paper, we first proposed mathematical model equations for wave propagation in a multi-functional transformation optical device, namely, an electromagnetic rotation concentrator. This device can concentrate electromagnetic energy while rotating electromagnetic waves. We also demonstrate the stability of the model equation in the continuous case. Next, we designed the multi-functional device with multiple layers. We then proposed a time-domain finite element method for simulating wave propagation in this device and conducted a stability analysis of the model equations in the discrete case. Finally, we implemented the proposed algorithm and obtained numerous numerical results that demonstrate the validity of our model equations. To the best of our knowledge, this is the first work on time-domain modeling and analysis of multi-functional electromagnetic devices.