Jichun Li

Graphene supports highly confined, tunable surface-plasmon waves in the terahertz regime, making it a promising candidate for information transfer in next-generation integrated circuitry. We solved the classical time-domain Maxwell equations to determine the response of a graphene half-plane excited by a carrier plane wave amplitude-modulated by a narrow-width pulse, employing a recently formulated finite-element time-domain method with a perfectly matched layer. Detectability loss, Pearson correlation coefficient, and concordance coefficient were computed to assess signal fidelity between transmission and reception points. Simulations across varied pulse widths and carrier frequencies consistently yield Pearson correlations of approximately 91% and concordance coefficients of approximately 55%, with information-transfer distances reaching hundreds of micrometers. Lower carrier frequencies extend the absolute transfer distance. These findings establish graphene as a viable information-carrying medium in the terahertz gap.

In this article, we carry out a systematic stability analysis for the explicit Runge–Kutta scheme coupled with a discontinuous Galerkin discretization in space for solving the time‐dependent Maxwell's equations. Many so‐called RKDG methods have been developed and successfully solved Maxwell's equations. However, to our best knowledge, there are quite limited rigorous analyses of RKDG methods devoted to Maxwell's equations. This paper is our initial effort in filling this gap by establishing the stability analysis for the RKDG methods of order two, three, and four. Numerical results consistent with our analysis are presented for the 3‐D Maxwell's equations.

In this paper, we develop the governing equations for two-dimensional (2D) arbitrary star-shaped information-open (IO) electromagnetic cloaks. These equations consist of time-dependent Maxwell’s equations coupled with ordinary differential equations arising from the Drude dispersion model. We establish the well-posedness of our IO cloak model using the Hille–Yosida theorem. To demonstrate the invisibility cloaking capabilities of our model, we introduce a novel edge finite element time-domain (FETD) scheme for solving this system of governing equations. We provide proof of discrete stability and optimal error estimates for our scheme. Our multifrequency FETD simulations further validate the effective cloaking performance of our IO cloak model. This work represents the first mathematical analysis and time-domain simulation of 2D star-shaped IO electromagnetic cloaks, with promising applications in advanced electromagnetic shielding and stealth technology.