Access the full text.
Sign up today, get DeepDyve free for 14 days.
L. Sevgi (2007)
Groundwave Modeling and Simulation Strategies and Path Loss Prediction Virtual ToolsIEEE Transactions on Antennas and Propagation, 55
O. Ozgun, G. Apaydin, M. Kuzuoglu, L. Sevgi (2011)
PETOOL: MATLAB-based one-way and two-way split-step parabolic equation tool for radiowave propagation over variable terrainComput. Phys. Commun., 182
D. Thomson, N. Chapman (1983)
A wide‐angle split‐step algorithm for the parabolic equationJournal of the Acoustical Society of America, 74
G. Apaydin, L. Sevgi (2010)
The Split-Step-Fourier and Finite-Element-Based Parabolic-Equation Propagation-Prediction Tools: Canonical Tests, Systematic Comparisons, and CalibrationIEEE Antennas and Propagation Magazine, 52
G. Ramos, P. Pereira, N. Leonor, F. Caldeirinha (2020)
Analysis Of Radiowave Propagation In Forest Media Using The Parabolic Equation2020 14th European Conference on Antennas and Propagation (EuCAP)
D. Huang (1988)
Finite element solution to the parabolic wave equationJournal of the Acoustical Society of America, 84
H. Rasool, Chen Jun, Xiao-Min Pan, X. Sheng (2020)
Skeletonization Accelerated Solution of Crank-Nicolson Method for Solving Three-Dimensional Parabolic Equation, 35
A. Barrios (1994)
A terrain parabolic equation model for propagation in the troposphereIEEE Transactions on Antennas and Propagation, 42
H. Rasool, M. Qureshi, A. Aziz, F.H. Malik (2020)
Efficient solution of Noye–Hayman implicit finite‐difference method for modelling wave propagation in tunnelsElectronics Letters, 56
G. Dockery (1988)
Modeling electromagnetic wave propagation in the troposphere using the parabolic equationIEEE Transactions on Antennas and Propagation, 36
A. Barrios (1992)
Parabolic equation modeling in horizontally inhomogeneous environmentsIEEE Transactions on Antennas and Propagation, 40
M. Feit, J. Fleck (1978)
Light propagation in graded-index optical fibers.Applied optics, 17 24
Zeina Ahdab, F. Akleman (2017)
Radiowave Propagation Analysis With a Bidirectional 3-D Vector Parabolic Equation MethodIEEE Transactions on Antennas and Propagation, 65
Zeina Ahdab, F. Akleman (2019)
An Efficient 3-D FDTD-PE Hybrid Model for Radio Wave Propagation With Near-Source ObstaclesIEEE Transactions on Antennas and Propagation, 67
R. Hardin (1973)
Application of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equationsSiam Review, 15
C. Pekeris (1946)
Accuracy of the Earth-Flattening Approximation in the Theory of Microwave PropagationPhysical Review, 70
S. Mudaliar (2021)
Remarks on the Parabolic Equation Model for Waves in Random Media2021 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)
G. Apaydin, L. Sevgi (2011)
Two-Way Propagation Modeling in Waveguides With Three-Dimensional Finite-Element and Split-Step Fourier-Based PE ApproachesIEEE Antennas and Wireless Propagation Letters, 10
Xingqi Zhang, C. Sarris (2014)
A High-Accuracy ADI Scheme for the Vector Parabolic Equation Applied to the Modeling of Wave Propagation in TunnelsIEEE Antennas and Wireless Propagation Letters, 13
Pei Zhang, L. Bai, Zhensen Wu, Li-xin Guo (2016)
Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones.IEEE Antennas and Propagation Magazine, 58
M. Ozyalcin, F. Akleman, L. Sevgi (2003)
A novel TLM-based time-domain wave propagatorIEEE Transactions on Antennas and Propagation, 51
G. Apaydin, L. Sevgi (2009)
FEM-Based Surface Wave Multimixed-Path Propagator and Path Loss PredictionsIEEE Antennas and Wireless Propagation Letters, 8
H. Rasool, Xiao-Min Pan, X. Sheng (2018)
Radiowave Propagation prediction in the Presence of Multiple Knife Edges using 3D Parabolic Equation Method2018 International Applied Computational Electromagnetics Society Symposium - China (ACES)
D. Dockery, J. Kuttler (1996)
An improved impedance-boundary algorithm for Fourier split-step solutions of the parabolic wave equationIEEE Transactions on Antennas and Propagation, 44
R. Janaswamy (2003)
Path loss predictions in the presence of buildings on flat terrain: a 3-D vector parabolic equation approachIEEE Transactions on Antennas and Propagation, 51
A. Zaporozhets, M. Levy (1996)
Modelling of radiowave propagation in urban environment with parabolic equation methodElectronics Letters, 32
S. Och, L. Moura, V. Mariani, L. Coelho, J. Velásquez, É. Domingues (2016)
Volumetric efficiency optimization of a single-cylinder D.I. diesel engine using differential evolution algorithmApplied Thermal Engineering, 108
G. Apaydin, L. Sevgi (2012)
Method of moments (MoM) modeling for resonating structures: propagation inside a parallel plate waveguide
Mingshan Yang, Shiwei Guo, Pan Liu, Z. Qiu (2020)
Application and Error Analysis of Narrow-angle Parabolic Equation Method in Electromagnetic Wave Propagation at Troposphere2020 IEEE 20th International Conference on Communication Technology (ICCT)
G. Apaydin, L. Sevgi (2010)
A Novel Split-Step Parabolic-Equation Package for Surface-Wave Propagation Prediction Along Multiple Mixed Irregular-Terrain PathsIEEE Antennas and Propagation Magazine, 52
G. Ramos, N. Leonor, Stefânia Faria, R. Caldeirinha, P. Castellanos, C. Ron, L. Mello (2021)
Parabolic Equation Technique Applied to an Urban Scenario in Rio de Janeiro2021 Telecoms Conference (ConfTELE)
R. Martelly, R. Janaswamy (2009)
An ADI-PE Approach for Modeling Radio Transmission Loss in TunnelsIEEE Transactions on Antennas and Propagation, 57
S. Marcus (1992)
A hybrid (finite difference-surface Green's function) method for computing transmission losses in an inhomogeneous atmosphere over irregular terrainIEEE Transactions on Antennas and Propagation, 40
Zi He, Y. Bian, H. Yin, Ru-Shan Chen (2019)
EM Pulse Propagation Modeling of Tunnels with Three-dimensional TDPE Method2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall)
H. Ko, J. Sari, J. Skura (1983)
Anomalous microwave propagation through atmospheric ductsJohns Hopkins Apl Technical Digest
Zi He, T. Su, H. Yin, Ru-Shan Chen (2018)
Wave Propagation Modeling of Tunnels in Complex Meteorological Environments With Parabolic EquationIEEE Transactions on Antennas and Propagation, 66
L. Sevgi, F. Akleman, L. Felsen (2002)
Groundwave propagation modeling: problem-matched analytical formulations and direct numerical techniquesIEEE Antennas and Propagation Magazine, 44
F. Akleman, L. Sevgi (2000)
A novel finite-difference time-domain wave propagatorIEEE Transactions on Antennas and Propagation, 48
H. Rasool, Xiao-Min Pan, X. Sheng (2019)
A Fourier Split-Step Based Wide-Angle Three-Dimensional Vector Parabolic Wave Equation Algorithm Predicting the Field Strength Over Flat and Irregular Forest Environments
P. Holm (2007)
Wide-Angle Shift-Map PE for a Piecewise Linear Terrain—A Finite-Difference ApproachIEEE Transactions on Antennas and Propagation, 55
L. Sevgi, Ç. Uluışık, F. Akleman (2005)
A MATLAB-based two-dimensional parabolic equation radiowave propagation packageIEEE Antennas and Propagation Magazine, 47
A. Zaporozhets, M. Levy (1999)
Bistatic RCS calculations with the vector parabolic equation methodIEEE Transactions on Antennas and Propagation, 47
G. Apaydin, O. Ozgun, M. Kuzuoglu, L. Sevgi (2011)
A Novel Two-Way Finite-Element Parabolic Equation Groundwave Propagation Tool: Tests With Canonical Structures and CalibrationIEEE Transactions on Geoscience and Remote Sensing, 49
G. Apaydin, L. Sevgi (2010)
Numerical Investigations of and Path Loss Predictions for Surface Wave Propagation Over Sea Paths Including Hilly Island TransitionsIEEE Transactions on Antennas and Propagation, 58
F. Akleman, L. Sevgi (2007)
A Novel MoM- and SSPE-based Groundwave-Propagation Field-Strength Prediction SimulatorIEEE Antennas and Propagation Magazine, 49
J. Kuttler, G. Dockery (1991)
Theoretical description of the parabolic approximation/Fourier split-step method of representing electromagnetic propagation in the troposphereRadio Science, 26
S. Mordane, G. Mangoub, K. Maroihi, M. Chagdali (2004)
A parabolic equation based on a rational quadratic approximation for surface gravity wave propagationCoastal Engineering, 50
(1995)
Split step parabolic equation solutions in surface duct-to-elevated duct transition
G. Apaydin, L. Sevgi (2012)
Calibration of Three-Dimensional Parabolic-Equation Propagation Models with the Rectangular Waveguide ProblemIEEE Antennas and Propagation Magazine, 54
M. Qureshi, Abdul Aziz, A. Amin, H. Rasool, F. Hayat (2020)
Design of a New Wideband Single-Layer Reflective Metasurface Unit Cell for 5G-Communication, 35
Zhengping Yang, W. Zhong, M. Belić, WenYe Zhong (2021)
Two-dimensional matrix parabolic cylinder beamsPhysics Letters A, 412
(1946)
Solution of the problem of propagation of electromagnetic waves along the earth’s surface by the method of parabolic equation
R. Awadallah, J. Gehman, J. Kuttler, M. Newkirk (2005)
Effects of lateral terrain variations on tropospheric radar propagationIEEE Transactions on Antennas and Propagation, 53
The purpose of this paper is to provide a brief introduction of the finite difference based parabolic equation (PE) modeling to the advanced engineering students and academic researchers.Design/methodology/approachA three-dimensional parabolic equation (3DPE) model is developed from the ground up for modeling wave propagation in the tunnel via a rectangular waveguide structure. A discussion of vector wave equations from Maxwell’s equations followed by the paraxial approximations and finite difference implementation is presented for the beginners. The obtained simulation results are compared with the analytical solution.FindingsIt is shown that the alternating direction implicit finite difference method (FDM) is more efficient in terms of accuracy, computational time and memory than the explicit FDM. The reader interested in maximum details of individual contributions such as the latest achievements in PE modeling until 2021, basic PE derivation, PE formulation’s approximations, finite difference discretization and implementation of 3DPE, can learn from this paper.Research limitations/implicationsFor the purpose of this paper, a simple 3DPE formulation is presented. For simplicity, a rectangular waveguide structure is discretized with the finite difference approach as a design problem. Future work could use the PE based FDM to study the possibility of utilization of meteorological techniques, including the effects of backward traveling waves as well as making comparisons with the experimental data.Originality/valueThe proposed work is directly applicable to typical problems in the field of tunnel propagation modeling for both national commercial and military applications.
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Aug 26, 2022
Keywords: Wave propagation; Parabolic equation method; Alternative direction implicit method; Electromagnetic waves; Finite difference method; Computational electromagnetics
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.