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Wavelets in Boundary Integral Equation: Applications in Radiation Problems
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Author(s): Mohamed Bayjja (LABTIC, ENSA of Tetouan, University of Abdelmalek Essaadi, Morocco), Jamal Zbitou (LABTIC ENSA of Tangier, University of Abdelmalek Essaadi Tetouan, Morocco)and Ahmed El Oualkadi (LABTIC, ENSA of Tetouan, University of Abdelmalek Essaadi, Morocco)
Copyright: 2023
Pages: 31
Source title:
Handbook of Research on Emerging Designs and Applications for Microwave and Millimeter Wave Circuits
Source Author(s)/Editor(s): Jamal Zbitou (LABTIC, ENSA of Tangier, University of Abdelmalek Essaadi, Morocco), Mostafa Hefnawi (Royal Military College of Canada, Canada), Fouad Aytouna (LABTIC, ENSA of Tetouan, University of Abdelmalek Essaadi, Morocco)and Ahmed El Oualkadi (LabTIC, ENSA of Tangier, University of Abdelmalek Essaadi, Morocco)
DOI: 10.4018/978-1-6684-5955-3.ch003
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Abstract
Wavelet transforms and wavelet bases are widely used for analyzing and solving problems related to science and engineering techniques. This growth is mainly due to specific properties that result from decompositions on wavelet bases. In this chapter, the authors propose the electromagnetic modeling of wire antennas by two different methods: the method of moment's procedure matching point and the moments-wavelets method for solving the integral equation and modeling the characteristics of each structure. A detailed reminder on wavelet theory: definition, multi-resolution analysis, different families, wavelet properties, and use of wavelet bases in the method of moments. In the second part, the dipole antenna, loop antenna, and helix antenna are examined in order to demonstrate the advantages of MoM-wavelets compared to the method of moments with the traditional bases.
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