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The rigorous design of arbitrarily shaped graphene and nanocomposite structures in realistic electromagnetic compatibility applications is presented in this paper by means of a combined finite‐volume time‐domain methodology. The new 3D formulation proposes a set of adjustable‐order derivative approximators in general curvilinear coordinates and an adaptive domain decomposition to attain effective...
The performance of optical filters with resonant waveguide gratings is predicted numerically, assuming random fluctuations of various design variables. Specifically, we derive stochastic models based on polynomial-chaos expansions (PCEs), by employing a stochastic collocation (SC) approach that exploits the rigorous coupled-wave analysis (RCWA) deterministic solver. The statistical moments of the...
As wireless power transfer (WPT) systems emerge, the efficiency and achievable transmitting distance are two constraining factors for their prevalence over wired ones. In this paper, two split ring resonator (SRR)-based WPT configurations, with circular and square SRRs, as their transmitting and receiving elements, are investigated for various frequencies and distances. The efficiency is found to...
The combination of two versions of a split-step finite-difference time-domain (FDTD) algorithm is proposed for the efficient simulation of waves supported by graphene sheets. A dispersive scheme based on the auxiliary differential equation (ADE) approach is used for the graphene's surface conductivity, while an optimized technique featuring specially designed spatial approximations is applied at free-space...
A new auxiliary differential equation finite-difference time-domain method, incorporating a rigorous convolutional perfectly matched layer, is presented in this paper for the termination of infinite graphene structures. The consistency and performance of the featured technique is substantiated via detailed comparisons with setups terminated by existing absorbing boundary conditions.
The finite-difference time-domain method is herein combined with polynomial-chaos expansions for the study of axially-symmetric structures featuring material uncertainties. By exploiting the problem's periodicity, we reduce the high computational burden of fully 3D simulations, and reliably extract the necessary statistical information from a single simulation.
The consistent analysis of complex antenna setups with statistically varying media attributes is performed in this paper through a 3-D curvilinear stochastic finite-difference time-domain technique. The new method generalizes the concept of covariant/contravariant metrics for curved structures and derives the mean value and standard deviation of field components in a single run. Also, for the acceleration...
We present and validate a computational approach for the efficient calculation of lightning-produced electromagnetic fields and solution of pertinent problems in realistic environments. Given that various factors, such as ground-material inhomogeneities and irregular earth surface, may inhibit the utilization of simplified approaches, the finite-difference time-domain method is applied in its general...
The correct choice of time-step size is of crucial importance in the case of the (2, 4) finite-difference time-domain (FDTD) method, as it affects the algorithm's overall accuracy and convergence rate. A description of the inherent discretisation error is introduced, which is exploited for the derivation of a simple, yet reliable, approximation of the optimum temporal sampling density. As the proposed...
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