PETOOL v2. 0: Parabolic equation toolbox with evaporation duct models and real environment data

O Ozgun, V Sahin, ME Erguden, G Apaydin… - Computer physics …, 2020 - Elsevier
A new version of PETOOL (Parabolic Equation Toolbox) is introduced with various
additional capabilities. PETOOL is an open-source and MATLAB-based software tool with a …

Reducing the numerical dispersion of the one-way Helmholtz equation via the differential evolution method

MS Lytaev - Journal of Computational Science, 2023 - Elsevier
This study is devoted to increasing the performance of the numerical methods for solving the
one-way Helmholtz equation in large-scale domains. The higher-order rational …

Numerov-Padé scheme for the one-way Helmholtz equation in tropospheric radio-wave propagation

MS Lytaev - IEEE Antennas and Wireless Propagation Letters, 2020 - ieeexplore.ieee.org
This letter is devoted to applying the higher order finite-difference approximations to the
tropospheric radio-wave propagation problem. It is proposed to use the fourth-order …

Modeling equation for multiple knife-edge diffraction

SA Vavilov, MS Lytaev - IEEE transactions on antennas and …, 2019 - ieeexplore.ieee.org
This article is devoted to the canonical problem of the radio-wave propagation in the
presence of multiple knife-edges. The system of integral equations in a spectral domain for …

Automated selection of the computational parameters for the higher-order parabolic equation numerical methods

MS Lytaev - … Conference on Computational Science and Its …, 2020 - Springer
This study is devoted to the features of the numerical methods for the parabolic wave
equation. While seeking a numerical solution, it is necessary to select a set of computational …

Split-step Padé approximations of the Helmholtz equation for radio coverage prediction over irregular terrain

MS Lytaev, AG Vladyko - 2018 Advances in Wireless and …, 2018 - ieeexplore.ieee.org
This paper is devoted to the numerical methods for the radio-wave propagation over the
Earth's surface. Split-step Padé rational approximations of the one-way Helmholtz equation …

Numerical approximation of the one-way Helmholtz equation using the differential evolution method

MS Lytaev - International Conference on Computational Science, 2022 - Springer
This paper is devoted to increasing the computational efficiency of the finite-difference
methods for solving the one-way Helmholtz equation in unbounded domains. The higher …

Fresnel reflection modeling within the higher-order parabolic equation and discrete nonlocal boundary conditions

MS Lytaev - 2022 IEEE Radar Conference (RadarConf22), 2022 - ieeexplore.ieee.org
This paper is devoted to modeling the interface between two media with different dielectric
properties. Special attention is paid to the Earth's surface modeling in the tropo-spheric radio …

Mesh optimization for the acoustic parabolic equation

M Lytaev - Journal of Marine Science and Engineering, 2023 - mdpi.com
This work is devoted to increasing the computational efficiency of numerical methods for the
one-way Helmholtz Equation (higher-order parabolic equation) in a heterogeneous …

Chebyshev-type rational approximations of the one-way Helmholtz equation for solving a class of wave propagation problems

MS Lytaev - International Conference on Computational Science, 2021 - Springer
This study is devoted to improving the efficiency of the numerical methods for solving the
pseudo-differential parabolic equation of diffraction theory. A rational approximation on an …