2009
DOI: 10.1109/tap.2009.2027142
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A Numerical Scheme for the Solution of the Vector Parabolic Equation Governing the Radio Wave Propagation in Straight and Curved Rectangular Tunnels

Abstract: A high-frequency field prediction model, useful to evaluate the radio wave propagation in realistic tunnels having rectangular cross-section, is presented. The model is based on a hybrid implicit/explicit finite-difference numerical scheme adopted to solve the vector parabolic equation (V-PE) governing the electromagnetic field propagation in straight and curved tunnels. To model the materials forming the-tunnel walls, mixed Dirichlet-Von Neumann boundary conditions are employed. In this way, all the relevant … Show more

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Cited by 39 publications
(21 citation statements)
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“…Authors of [39] simulated the propagation loss in curved tunnels by the theoretical deduction of modal analysis. Authors of [40], [41] predicted the loss for curved tunnels by using the parabolic equation (PE) along with the alternate direction implicit (ADI) method. Author of [42], [43] simulated the attenuation in curved tunnels by employing hybrid modeling approaches.…”
Section: Introductionmentioning
confidence: 99%
“…Authors of [39] simulated the propagation loss in curved tunnels by the theoretical deduction of modal analysis. Authors of [40], [41] predicted the loss for curved tunnels by using the parabolic equation (PE) along with the alternate direction implicit (ADI) method. Author of [42], [43] simulated the attenuation in curved tunnels by employing hybrid modeling approaches.…”
Section: Introductionmentioning
confidence: 99%
“…Several papers present results based on an exact resolution of Maxwell's equations using numerical techniques such as integral methods or the resolution of the Vector Parabolic Equation (Chang et al, 2009), (Reutskiy, 2008), (Popov, 2000), (Bernardi et al, 2009). One more time, these kinds of techniques are limited, mostly due to the computational complexity.…”
Section: Existing Techniques To Model Radio Wave Propagation In Tunnelmentioning
confidence: 99%
“…The modal theory provides good results but is limited to canonical geometries since it considers tunnels as oversized waveguides. Some authors have also proposed an exact resolution of Maxwell's equations based on numerical techniques [6]. This kind of techniques is limited, specifically by the computational burden due to the fine discretization requirement of the environment, in terms of surface or volume.…”
Section: Existing Studies On Radio Wave Propagation In Curved Tunnelsmentioning
confidence: 99%