engleski

Frequency domain deterministic-stochastic analysis of the transient current induced along a ground penetrating radar dipole antenna over a lossy half-space

This paper deals with the stochastic analysis of transient current induced along a ground penetrating radar (GPR) antenna. The antenna is modelled as a horizontal dipole and is placed over a lossy half-space. The electromagnetic formulation of the problem is based on the Pocklington’s integro-differential equation in the frequency domain, which is solved by means of the GalerkinBubnov indirect boundary element method. The transient solution is obtained by using the inverse fast Fourier transform. The paper aims to investigate the variability of the current due to key uncertain parameters, such as the soil permittivity and conductivity, and the wire distance from the half-space. Stochastic assumptions are incorporated in the model by means of the stochastic collocation technique. Computational examples present the mean value of current distributed along the wire with the confidence margins. Sensitivity analysis is obtained, i.e., the uncertainty in the output is apportioned to different sources of uncertainty in the model input thus giving a better insight into model reliability.

Ground Penetrating Radar (GPR) ; Electromagnetic modelling ; Galerkin-Bubnov indirect boundary element method ; Stochastic collocation technique ; Antennas ; Lossy half-space

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