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Title

Simulation of Ultra Wideband Miscrostrip Antenna Based on Laguerre-Finite-Difference Time-Domain (LFDTD) Algorithm

Author

NGENDAKUMNA Gaspard, Nabih EL OUAZZANI

Citation

Vol. 13  No. 11  pp. 33-41

Abstract

The use of Weighted Laguerre Polynomials to overcome Courant-Friedrich-Levy (CFL) stability condition leads to unconditionally Finite-Difference Time-Domain (FDTD) method. This formulation results in a huge sparse matrix equation which needs important memory storage when modelling Three Dimensional (3D) electromagnetic problems with fine meshes. Recently, a new efficient algorithm which consists in using factorization splitting scheme based on two sub-steps to decompose the previous huge sparse matrix equation has been proposed. In this paper, we develop a New Node Numbering Scheme in order to optimize LU Decomposition and to overcome the memory storage limitation. Therefore, the programming code is partially modified and finally used to model rectangular patch antenna which is fed by uniform or non uniform microstrip Lines, in order to achieve the Ultra Wideband Matching of the rectangular patch antenna. The results obtained from the Implementation of Laguerre Finite-Difference Time-Domain (LFDTD) method are compared to those of the conventional FDTD method.

Keywords

FDTD, method, Laguerre Polynomials, LFDTD formulation, microstrip antenna and microstrip lines, node numbering scheme.

URL

http://paper.ijcsns.org/07_book/201311/20131105.pdf

Title

Simulation of Ultra Wideband Miscrostrip Antenna Based on Laguerre-Finite-Difference Time-Domain (LFDTD) Algorithm

Author

NGENDAKUMNA Gaspard, Nabih EL OUAZZANI

Citation

Vol. 13  No. 11  pp. 33-41

Abstract

The use of Weighted Laguerre Polynomials to overcome Courant-Friedrich-Levy (CFL) stability condition leads to unconditionally Finite-Difference Time-Domain (FDTD) method. This formulation results in a huge sparse matrix equation which needs important memory storage when modelling Three Dimensional (3D) electromagnetic problems with fine meshes. Recently, a new efficient algorithm which consists in using factorization splitting scheme based on two sub-steps to decompose the previous huge sparse matrix equation has been proposed. In this paper, we develop a New Node Numbering Scheme in order to optimize LU Decomposition and to overcome the memory storage limitation. Therefore, the programming code is partially modified and finally used to model rectangular patch antenna which is fed by uniform or non uniform microstrip Lines, in order to achieve the Ultra Wideband Matching of the rectangular patch antenna. The results obtained from the Implementation of Laguerre Finite-Difference Time-Domain (LFDTD) method are compared to those of the conventional FDTD method.

Keywords

FDTD, method, Laguerre Polynomials, LFDTD formulation, microstrip antenna and microstrip lines, node numbering scheme.

URL

http://paper.ijcsns.org/07_book/201311/20131105.pdf