A Short Review of FDTD‐Based Methods for Uncertainty Quantification in Computational Electromagnetics

Abstract

We provide a review of selected computational methodologies that are based on the deterministic finite-difference time-domain algorithm and are suitable for the investigation of electromagnetic problems involving uncertainties. As it will become apparent, several alternatives capable of performing uncertainty quantification in a variety of cases exist, each one exhibiting different qualities and ranges of applicability, which we intend to point out here. Given the numerous available approaches, the purpose of this paper is to clarify the main strengths and weaknesses of the described methodologies and help the potential readers to safely select the most suitable approach for their problem under consideration.

The FDTD-based study of the impact of cylindrical aluminum nanoparticles on organic solar cells

“…Indium tin oxide (ITO) with a refractive index of 1.92 has been used as an anode electrode and hole collector and Al metal has been used as a cathode electrode and electron collector with thicknesses of 178 and 500 nm, in an arrangement [16,33] The FDTD method directly solves Maxwell's rotational equations (Ampere and Faraday laws) and does not need to de ne potentials. By considering the central difference approximation for both temporal and spatial derivatives of Maxwell's equations, the values of all components of the electric eld and the magnetic eld in all three spatial dimensions of the computational range (x, y, z) can be measured directly [34,35]. Therefore, to investigate the effect of sunlight on the different layers of the solar cell, the following Maxwell's equations should be used (1-4):…”

Sensitivity Analysis of Metamaterial-Inspired SIW Focusing on Resonator Misalignment

“…Nevertheless, a large series of simulations are commonly required to acquire reliable statistical results, regarding the mean value and the standard deviation. For this reason, the polynomial chaos (PC) expansion methodology is launched in this paper [17], [18]. Explicitly, let us consider that the examined υ quantity depends on d…”