A High-Accuracy ADI Scheme for the Vector Parabolic Equation Applied to the Modeling of Wave Propagation in Tunnels

被引：35

作者：

Zhang, Xingqi ^{[1
]}

Sarris, Costas D. ^{[1
]}

机构：

[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada

来源：

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS | 2014年 / 13卷

关键词：

Electromagnetic propagation; finite-difference methods; parabolic wave equation; RADIO TRANSMISSION LOSS;

D O I：

10.1109/LAWP.2014.2313737

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The vector parabolic equation has been widely used to model radio wave propagation in tunnels. For its numerical solution, the Crank-Nicolson as well as the Alternating Direction Implicit (ADI) methods have been employed, with the latter being significantly faster than the former. This letter focuses on a modified ADI method, namely a Mitchell-Fairweather scheme. Applied to the vector parabolic equation, this scheme significantly improves the accuracy of the original ADI formulation while retaining its computational efficiency. The relative advantages of the Mitchell-Fairweather scheme are demonstrated in a case study involving an actual tunnel geometry.

引用

页码：650 / 653

页数：4

共 10 条

[1] A Numerical Scheme for the Solution of the Vector Parabolic Equation Governing the Radio Wave Propagation in Straight and Curved Rectangular Tunnels [J].

Bernardi, Paolo ;

Caratelli, Diego ;

Cicchetti, Renato ;

Schena, Vincenzo ;

Testa, Orlandino .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (10) :3249-3257

[2] Exact surface impedance/admittance boundary conditions for complex geometries: Theory and applications [J].

Cicchetti, R ;

Faraone, A .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2000, 48 (02) :223-230

[3] Wireless propagation in tunnels [J].

Dudley, Donald G. ;

Lienard, Martine ;

Mahmoud, Samir F. ;

Degauque, Pierre .

IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2007, 49 (02) :11-26

[4]

Levy M., 2000, Parabolic Equation Methods for Electromagnetic Wave Propagation

[5] GUIDED ELECTROMAGNETIC-WAVES IN A CURVED RECTANGULAR MINE TUNNEL [J].

MAHMOUD, SF ;

WAIT, JR .

RADIO SCIENCE, 1974, 9 (05) :567-572

[6] Modeling Radio Transmission Loss in Curved, Branched and Rough-Walled Tunnels With the ADI-PE Method [J].

Martelly, Richard ;

Janaswamy, Ramakrishna .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2010, 58 (06) :2037-2045

[7] An ADI-PE Approach for Modeling Radio Transmission Loss in Tunnels [J].

Martelly, Richard ;

Janaswamy, Ramakrishna .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (06) :1759-1770

[8] THE NUMERICAL SOLUTION OF PARABOLIC AND ELLIPTIC DIFFERENTIAL EQUATIONS [J].

PEACEMAN, DW ;

RACHFORD, HH .

JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1955, 3 (01) :28-41

[9]

Strikwerda J., 2004, Finite Difference Schemes and Partial Differential Equations, V2nd

[10] Ray-optical prediction of radio-wave propagation characteristics in tunnel environments - Part 2: Analysis and measurements [J].

Zhang, YP ;

Hwang, Y ;

Kouyoumjian, RG .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1998, 46 (09) :1337-1345

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