Modeling a Planar Coupled Microstrip Lines using various Wavelets and Method of Moments

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M. Bayjja
M. Moubadir
G. Alsharahi
M. Aghoutane
N. Amar Touhami

Abstract

In this paper, we apply a several wavelets basis functions to the method of moments to modeling the parallel-coupled microstrip lines. The first set of equations is for the shielded microstrip line solved with moment’s method and wavelets. The Green’s function is obtained from the theory of images. The second set are for the parallel-coupled microstrip lines operating in the TEM mode or when the analysis can be based on quasi-static approximation, the properties of coupled lines can be determined from the self- and mutual inductances and capacitances for the lines. To demonstrate the effectiveness and accuracy of the proposed technique, numerical results of even- and odd-mode characteristic impedances, coupling coefficient, percentage sparsity achieved in the impedance matrix, the CPU Time to reverse impedance matrix, and error relative for Daubechies, Coiflets,   Biorthogonal and Symlets wavelets are presented. Numerical results are in good agreement with those in previous publications.

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How to Cite
Bayjja, M., Moubadir, M., Alsharahi, G., Aghoutane, M., & Amar Touhami, N. (2019). Modeling a Planar Coupled Microstrip Lines using various Wavelets and Method of Moments. Advanced Electromagnetics, 8(1), 51-58. https://doi.org/10.7716/aem.v8i1.771
Section
Research Articles

References


  1. A.M. Abbosh, Analytical closed-form solutions for different configurations of parallel-coupled microstrip lines, IET Microw. Antennas Propag., Vol. 3, Iss. 1, pp. 137–147, 2009.
    View Article

  2. L. Deias , M. Lai, G. Mazzarella, Analysis of Microstrip Coupled Lines over a Perfect Magnetic Conductor, Antennas and Propagation Conference LAPC, Loughborough, , UK, pp.1-3, 2011.
    View Article

  3. Ramesh Garg, Inder Bahl, and Maurizio Bozzi, Microstrip Lines and Slotlines, Third Edition, Artech House, Boston and London, 2013.

  4. Georgew. Pan, Wavelets in Electromagnetics and Device Modeling, John Wiley & Sons, Inc, Hoboken, New Jersey, 2003.

  5. E. Francomanoa, A. Tortorici, and al., Wavelet-like bases for thin-wire Integral equations in electromagnetics, Journal of Computational and Applied Mathematics, Vol. 175, pp. 77–86, 2004.
    View Article

  6. Jaideva C. Goswami, and Andrew K. Chan, Fundamentals Wavelets Theory, Algorithms, and Applications, John Wiley & Sons, Hoboken, New Jersey, 2011.

  7. Nassima Tidjani, and al., Electromagnetic Coupling Modeling of Microstrip Lines Used in Switching Power Supplies, Journal of Control Science and Engineering, Vol.1, pp. 55-59, 2013.

  8. Jen-Tsai Kuo, Wei-Hsiu Hsu, and Al., Parallel Coupled Microstrip Filters with Suppression of Harmonic Response, Ieee Microwave And Wireless Components Letters, Vol. 12, NO. 10, pp. 383 – 385, 2002.
    View Article

  9. Nejla Oueslat and Taoufik Aguili, New Implementation of the Moment Method Based on the Impedance Operator to Study the Dispersion Characteristics of Microstrip Lines, International Journal of Computer Science Issues, Vol. 11, Issue 5, pp.59-67, 2014.

  10. Mohamed Bayjja, Mohamed Boussouis, and Naima Amar Touhami, Studying the Influence of the Number Vanishing Moments of Daubechies Wavelets for the Analysis of Microstrip Lines, Progress In Electromagnetics Research Letters, Vol. 62, pp. 57-64, 2016.
    View Article

  11. Ikmo Park, Raj Mittra, and M. I. Aksun, Numerically Efficient Analysis of Planar Microstrip Configurations Using Closed-Form Green's Functions, IEEE Transactions On Microwave Theory And Techniques, Vol. 43, NO. 2, pp. 394- 400, 1995.
    View Article

  12. P. Silvester, B.S., M.A.Sc, Ph.D., TEM wave properties of microstrip transmission lines, PROC. IEE, Vol. 115, No. 1, pp. 43 – 48, 1968.

  13. Stéphane Mallat, A Wavelet Tour of Signal Processing The Sparse Way, Elsevier Inc, Newyork, Oxford, Paris, 2009.

  14. Mohamed Bayjja, and al., Orthogonal and Biorthogonal Compactly Supported Wavelets in Modeling the Circular Loop Antenna, International Journal of Microwave and Optical Technology, Vol.12, No.5, pp. 331-337, 2017.

  15. Walton C. Gibson, The Method of Moments in Electromagnetics, Second Edition, Taylor & Francis, New York, 2015.

  16. Wadell Brian C, Transmission line design handbook, Artech House, Boston, 1991.

  17. Jia-Sheng Hong, M.J. Lancaster and Al., Couplings of Microstrip Square Open-Loop Resonators, IEEE Tran. on MTT, Vol. 44, No 12, pp. 2099 – 2109, 1996.