Probabilistic Study of the Coupling between Deterministic Electromagnetic Fields and a Stochastic Thin-Wire over a PEC Plane

Experimental validation of the stochastic model of a randomly fluctuating transmission-line

“…The value of N cart however depends exponentially on the dimension of Ω α . Further details on these rules can be found in [3] and [4].…”

“…Bellan and Pignari [2] applied a probabilistic method to study a deterministic wire structure under random plane-wave illumination by using transmission-line theory. In [3], we have proposed a stochastic approach to tackle uncertainties in electromagnetic problems modeled by integral equations. A 1-meter long randomly undulating transmissionline over a ground plane was studied as an application.…”

Analysis of stochastic resonances in electromagnetic couplings to transmission lines

“…in absence of E i b , when a current source I T = 1 A is applied at P . This current follows by solving a frequencydomain electric-field integral equation (EFIE) corresponding to the transmitting state [6]. This equation is solved by the method of moments by using quadratic-segment basis functions [11], together with a reduced kernel in Pocklington's integral equation.…”

“…The stochastic methods applied to this class of interactions are often based on transmission-line theory, which provides analytical solutions for the electromagnetic response parameters of interest such as the induced voltage or the current induced at some port of the devices [4]. We have studied such wiring structures by resorting to an integral-equation approach [5], [6]. The equations are solved numerically and at a certain cost which makes it necessary to resort to a computationally efficient uncertainty quantification.…”

A Statistical Characterization of Resonant Electromagnetic Interactions with Thin Wires: Variance and Kurtosis Analysis

“…Stochastic methods are frequently used in fields as diverse as rough-surface scattering problems [1] and Mode-stirred-Chamber theory [2]. In EMC, random models have been applied to undulating thin-wire setups modeled by transmissionline theory [3], [4], or by integral equations [5]. In all these cases the aim is to quantify the uncertainty of the response parameters, or "observables", by their aver age and variance.…”