This contribution aims to demonstrate the ability of advanced time techniques to deal with Ground Penetrating Radar (GPR) applications. It is recognized that GPR systems are subjected to complex environment: parameters from setup (antennas) and environment are hardly ever known with an infinite precision. This issue is mainly due to intrinsic uncertainties (heights of antennas, soil electrical properties for instance) and may be illustrated trough time modeling of thin wire located above a lossy ground. In order to tackle the problem, the aim of this paper is to combine advanced time techniques with stochastic methods to properly access relevant statistics about GPR time responses.
The paper deals with different approaches for the analysis of electromagnetic field coupling to overhead wires of finite length based on the wire antenna theory, and transmission line method (TLM). The formulation based on the wire antenna theory in the frequency domain is based on the corresponding Pocklington equation, while the time domain formulation is based on the space-time Hallen integral equation. Transmission line model is based on the frequency and time domain Telegrapher's equations.. The integro-differential and integral realtionships arising from the wire antenna theory are numerically handled via the frequency and time domain GalerkinBubnov scheme of the Indirect Boundary Element Method (GB-IBEM), repectively. The transmission line equations are treated using the Finite Difference Time Domain (FDTD) Method. Some illustrative numerical results obtained via different approaches are presented in the paper.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.