Volume 12, Issue 4, September 2015, Pages 931–942
Mohamed BAYJJA1, Mohamed Boussouis2, Naima Amar Touhami3, and Kaoutar ZELJAMI4
1 Laboratoire Systèmes d'Informations et Télécommunications, Départent de physique, Faculté des sciences, Université Abdelmalek Essaâdi, Tétouan, Morocco
2 Electronic and Instrumentation laboratory, Faculty of Science, Abdmalak Essaadi University, Tetouan, Morocco
3 Electronic and Instrumentation laboratory, Faculty of Science, Abdmalak Essaadi University, Tetouan, Morocco
4 Laboratoire Systèmes d'Informations et Télécommunications, Départent de physique, Faculté des sciences, Université Abdelmalek Essaâdi, Tétouan, Morocco
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, it is attempted to approach a fast efficient algorithm for solving the famous Hallen's and Pocklington's integral equations, regarding the current distribution on a finite-length linear thin wire antenna. Here, the conventional moment method in conjunction with wavelet basis functions was used to obtain the current distribution of the antenna. The aim of this work is first to introduce the application of wavelet in electromagnetic scattering, secondly a comparison of the two method of analysis the thin wire antenna. By using the wavelet expansion, wavelets as basis and testing functions, a sparse matrix is generated from the previous moment method dense matrix. A sparsely filled matrix is easier to store and invert. The result extracted from Pocklington's integral equation gives better convergence at the feeding point, though it takes more time to be computed because of the complexity in Pocklington's equation. Results are compared to the previous work done and published, excellent results are obtained.
Author Keywords: Thin wire Antennas, Hallen's integral equations, Pocklington's integral equations, Moments Method, Haar wavelet, Multiresolution.
Mohamed BAYJJA1, Mohamed Boussouis2, Naima Amar Touhami3, and Kaoutar ZELJAMI4
1 Laboratoire Systèmes d'Informations et Télécommunications, Départent de physique, Faculté des sciences, Université Abdelmalek Essaâdi, Tétouan, Morocco
2 Electronic and Instrumentation laboratory, Faculty of Science, Abdmalak Essaadi University, Tetouan, Morocco
3 Electronic and Instrumentation laboratory, Faculty of Science, Abdmalak Essaadi University, Tetouan, Morocco
4 Laboratoire Systèmes d'Informations et Télécommunications, Départent de physique, Faculté des sciences, Université Abdelmalek Essaâdi, Tétouan, Morocco
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, it is attempted to approach a fast efficient algorithm for solving the famous Hallen's and Pocklington's integral equations, regarding the current distribution on a finite-length linear thin wire antenna. Here, the conventional moment method in conjunction with wavelet basis functions was used to obtain the current distribution of the antenna. The aim of this work is first to introduce the application of wavelet in electromagnetic scattering, secondly a comparison of the two method of analysis the thin wire antenna. By using the wavelet expansion, wavelets as basis and testing functions, a sparse matrix is generated from the previous moment method dense matrix. A sparsely filled matrix is easier to store and invert. The result extracted from Pocklington's integral equation gives better convergence at the feeding point, though it takes more time to be computed because of the complexity in Pocklington's equation. Results are compared to the previous work done and published, excellent results are obtained.
Author Keywords: Thin wire Antennas, Hallen's integral equations, Pocklington's integral equations, Moments Method, Haar wavelet, Multiresolution.
How to Cite this Article
Mohamed BAYJJA, Mohamed Boussouis, Naima Amar Touhami, and Kaoutar ZELJAMI, “Comparison between solution of POCKLINGTON'S and HALLEN'S integral equations for Thin wire Antennas using Method of Moments and Haar wavelet,” International Journal of Innovation and Applied Studies, vol. 12, no. 4, pp. 931–942, September 2015.
