A MATLAB-based one-way and two-way split-step parabolic equation software tool
(PETOOL) has been developed with a user-friendly graphical user interface (GUI) for the …

An important contribution to the literature that introduces powerful new methods for modeling
and simulating radio wave propagation A thorough understanding of electromagnetic wave …

A 3-D bidirectional solution to the parabolic approximation of the wave equation is
investigated by using a vector field representation. The backward propagating wave is …

A novel two-way finite-element parabolic equation (PE)(2W-FEMPE) propagation model
which handles both forward and backward scattering effects of the groundwave propagation …

The two-way split-step parabolic equation (2W-SSPE) method is improved to be able to
model both forward-and backward-waves propagation over irregular perfectly electrical …

The two-way (2W), 3-D parabolic equation (PE) is first derived and solved by the finite
differential (FD) method of alternating direction implicit (ADI) scheme in this communication …

In the context of improving the dimensioning of observation and telecommunication, the
characterization of the propagation canal is very important. Thus, accurate models of …

The traditional two-way (2W) parabolic equation (PE)(2W-PE) method has been applied for
modeling groundwave propagation over irregular terrain. However, based on a staircase …

The three-dimensional time domain parabolic equation (3D-TDPE) is derived to simulate the
EM pulse propagation in straight, curved tunnels. Then the finite differential (FD) method is …

A two‐way parabolic equation (2W‐PE) method based on complex‐valued neural networks
(CVNNs) and a physics‐informed neural network (PINN) is proposed to predict the spatial …