Optimized numerical models of thin wire above an imperfect and lossy ground for GPR statistics

Lalléchère, Sébastien; Antonijević, Siniša; Drissi, Khalil El Khamlichi; Poljak, Dragan

doi:10.1109/iceaa.2015.7297246

Cited by 6 publications

(7 citation statements)

References 5 publications

(15 reference statements)

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“…Once the time domain deterministic modelling via GB-IBEM is carried out, a stochastic processing of the obtained numerical results is undertaken via the SC technique [11]. The fundamental principle of the SC technique is to use the polynomial approximation of the certain output E of interest for N given random parameters.…”

Section: Stochastic Analysismentioning

confidence: 99%

“…The fundamental principle of the SC technique is to use the polynomial approximation of the certain output E of interest for N given random parameters. The random parameter Z is defined as [11,12]:…”

Section: Stochastic Analysismentioning

confidence: 99%

“…where Z 0 is the initial (mean) value of a considered parameter, while u is the random variable (RV) with assigned statistical distribution. The function t E Z t → ( ) 0 , is expanded over a stochastic space using the Lagrangian basis functions set [11,12]:…”

Section: Stochastic Analysismentioning

confidence: 99%

“…The mean, variance and higher statistical moments can be obtained by undertaking stochastic analysis presented in [11,12] for the case of single (one-dimensional) and multiple (multi-dimensional) random variable (RV), respectively [11].…”

Section: Stochastic Analysismentioning

confidence: 99%

“…A novel approach to properly quantify and handle the uncertainties, presented in this work, is related to the use of the SC technique [11,12], which combines deterministic electromagnetic techniques with certain statistical methods.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Stochastic post-processing of the deterministic boundary element modelling of the transient electric field from GPR dipole antenna propagating through lower half-space

Poljak¹,

Šesnić²,

Lalléchère³

et al. 2017

Int. J. CMEM

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The paper deals with time domain-deterministic stochastic assessment of a transient electric field generated by a ground penetrating radar (GPR) dipole antenna and transmitted into a lower half-space. The deterministic time domain formulation is based on the space-time Hallen integral equation for half-space problems. The Hallen equation is solved via the Galerkin-Bubnov variant of the Indirect Boundary Element Method (GB-IBEM) and the space-time current distribution along the dipole antenna is obtained, thus providing the field calculation. The field transmitted into the lower medium is obtained by solving the corresponding field integrals.As GPR systems are subjected to a rather complex environment, some input parameters, for example the antenna height over ground or earth properties, are partly or entirely unknown and, therefore, a simple stochastic collocation (SC) method is used to properly access relevant statistics about GPR time responses. The SC approach also aids in the assessment of corresponding confidence intervals from the set of obtained numerical results. The expansion of statistical output in terms of mean and variance over a polynomial basis, via the SC method, is shown to be a robust and efficient approach providing a satisfactory convergence rate.

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Section: Stochastic Analysismentioning

confidence: 99%

Section: Stochastic Analysismentioning

confidence: 99%

Section: Stochastic Analysismentioning

confidence: 99%