Abstract
The paper deals with the uncertainty quantification of the transient axial current induced along the human body exposed to electromagnetic pulse radiation. The body is modeled as a straight wire antenna whose length and radius exhibit random nature. The uncertainty is propagated to the output transient current by means of the stochastic collocation method. The stochastic approach is entirely nonintrusive and serves as a wrapper around the deterministic code. The numerical deterministic model is based on the time domain Hallen integral equation solved by means of the Galerkin-Bubnov indirect boundary element method (GB-IBEM). The stochastic moments, i.e., the mean and the variance of the transient current, are calculated. Confidence margins are obtained for the whole duration of the transient response as well as for the maximal current value. The presented approach enables the estimation of the probability for the induced current to exceed the basic restrictions prescribed by regulatory bodies. The sensitivity analysis of the input parameters indicates to which extent the variation of the input parameter set influences the output values which is particularly interesting for the design of the human equivalent antenna.
Highlights
Axial current distribution has been one of the quantities of interest to quantify human exposure to lowfrequency fields by determining the current density/induced fields and to compute specific absorption (SA) for the case of human exposure to transient radiation [1]
This paper presents a step forward towards the deterministic-stochastic coupling of TD Hallen’s equation Galerkin-Bubnov indirect boundary element method (GB-IBEM) solver, for the unknown current induced along the antenna, and the stochastic collocation method (SCM), respectively
Both random variables (RV) are prescribed with uniform distributions whose range is defined as follows: xi ± xi ⋅ CF, i = 1, 2, where xi is the mean value of the input parameter and CF is the coefficient of variation
Summary
Axial current distribution has been one of the quantities of interest to quantify human exposure to lowfrequency fields by determining the current density/induced fields and to compute specific absorption (SA) for the case of human exposure to transient radiation [1]. The present work could be regarded as a follow-up to the stochastic-deterministic coupling of the FD thick-wire model and the SCM approach for the LF exposure assessment reported in [21]. Though such a canonical representation can be regarded as a rather simplified deterministic-stochastic model of the body for a transient plane wave exposure, it still ensures a rapid estimation of the phenomenon. This cylindrical model could be considered as a starting point to establish a more realistic and eventually anatomically based direct time domain model.
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