Analysis of the Effects of Irregular Terrain on Radio Wave Propagation Based on a Three-Dimensional Parabolic Equation

Silva, M. A. N.; Costa, Emanoel; Liniger, Markus

doi:10.1109/tap.2012.2186227

Cited by 16 publications

(6 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the difference appears in low-energy power levels, which will affect terrain clutter modeling. In 2010, Silva et al [32] expressed a 3-D vector field through spherical coordinates. However, this method has not yet been studied for the irregular-terrain depolarization effect.…”

Section: The Pe Frameworkmentioning

confidence: 99%

Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones

Pei

Bai

et al. 2016

IEEE Antennas Propag. Mag.

View full text Add to dashboard Cite

Section: The Pe Frameworkmentioning

confidence: 99%

Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones

Pei

Bai

et al. 2016

IEEE Antennas Propag. Mag.

View full text Add to dashboard Cite

“…On the other hand, the components of the new boundary condition are enforced on a simple spherical surface without approximations. The parabolic equation and the appropriate boundary conditions define an initial value problem that can be solved using a numerical scheme that progresses along the axial direction [10].…”

Section: Effects From Lateral Terrain Variations On the Propagation Omentioning

confidence: 99%

Prediction of diffraction effects due to irregular terrain on radio wave propagation in the VHF and UHF bands

Costa

Silva

Liniger³

2011

2011 XXXth URSI General Assembly and Scientific Symposium

Self Cite

View full text Add to dashboard Cite

Many models have been proposed to represent diffraction effects on the propagation of radio waves over irregular terrain in the VHF and UHF bands. Predictions from these models have been compared with results from associated field-strength measurements available in extensive databases that also incorporate the technical parameters of thousands of VHF and UHF links. Some possible sources of the still high values of the standard deviations of errors between predictions and measurements will be identified and discussed, with particular attention to uncertainties on digital elevation models and on the effective Earth's radius, as well as to effects from lateral propagation.

show abstract

“…In particular, the inclusion of irregular boundaries in the 3D PE is an open problem that has no straightforward solution. In the past, a few authors have managed to include irregular boundaries in the 3D PE, including Silva et al (2012), who extended the Beilis-Tappert method to model 3D electromagnetic propagation above irregular terrain and used a direct solver to compute the solution. More recently, Lin (2019) has introduced a slip-step boundary-fitted 3D PE, based on non-uniform Galerkin discretization, for the inclusion of irregular waveguides in the context of underwater sound propagation.…”

Section: Introductionmentioning

confidence: 99%

An iterative three-dimensional parabolic equation solver for propagation above irregular boundaries

Khodr

Azarpeyvand

Green

2020

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

This paper describes the development of an iterative three-dimensional parabolic equation solver that takes into account the effects of irregular boundaries and refraction from a layered atmosphere. A terrain-following coordinate transformation, based on the well-known Beilis-Tappert mapping, is applied to the narrow-angle parabolic equation in an inhomogeneous media. The main advantage of this approach, which has been used in two dimensions in the past, is the simplification of the impedance boundary condition at the earth's surface. The transformed initialboundary value problem is discretized using the Crank-Nicholson marching scheme in the propagating direction and second-order finite-differences in the transversal plane. The proposed method relies on an efficient iterative fixedpoint solver, which involves the inversion of tridiagonal matrices only. The accuracy of the method is evaluated through a comparison with boundary element simulations in a homogeneous atmosphere above a Gaussian hill. Results show that transversal scattering occurs in the shadow zone of the obstacle where the two-dimensional parabolic equation underestimates the pressure amplitude. The model is particularly suited for the simulation of infrasound in a three-dimensional environment with realistic topographies. V

show abstract

Analysis of the Effects of Irregular Terrain on Radio Wave Propagation Based on a Three-Dimensional Parabolic Equation

Cited by 16 publications

References 8 publications

Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones

Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones

Prediction of diffraction effects due to irregular terrain on radio wave propagation in the VHF and UHF bands

An iterative three-dimensional parabolic equation solver for propagation above irregular boundaries

Contact Info

Product

Resources

About