In this paper Genetic Algorithm has been integrated with Fouquet modal analysis to optimize radiation pattern of coupled periodic antenna. Floquet analysis is used with MoM-GEC (Moment-Generalized Equivalent Circuit) method to study a finite periodic array with uniform amplitude and linear phase distribution. This method is very advantageous for studying large antenna array since it considerably reduces the computation time and the number of operations. In this way, Genetic algorithm is introduced and combined with Floquet analysis to optimize the radiation pattern distribution of this coupled periodic antenna. The goal of the optimization is to provide a better radiation characteristic for the coupled periodic antenna with maximum side lobe level reduction.
References
[1]
Debbat, F. and Bendimerad, F. (2005) Les algorithmes d’optimisation globale application réseaux intelligent d’antennes. Setit.
[2]
Lecourtois, F., Pascal, J., Thomas, J. and Poisson, F. (2010) Optimisation par algorithme génétique de la géométrie d’antenne pour la localisation de sources. 10ème congrès francais d’acoustique.
[3]
Gurel, L. and Ergul, O. (2008) Design and Simulation of Circular Arrays of Trapezoidal Tooth Log-Periodic Antennas via Genetic Optimization. Progress in Electromagnetics Research, 85, 243-260. https://doi.org/10.2528/PIER08081809
[4]
Berry, D., Malech, R. and Kennedy, W. (2012) The Reflectarray Antenna. IEEE Transaction on Antennas and Propagation, 11, 645-651. https://doi.org/10.1109/TAP.1963.1138112
[5]
Massaro, A., Cingolani, A., Passasea, A. and Vittoriol, M. (2009) Floquet’s Unit Cell Deseign for Periodic Structures Atoptical Frequencies. International Journal of Microwave Science and Technology, 2009, Article ID: 160321. https://doi.org/10.1155/2009/160321
[6]
Bhattacharyya, K.A. (2006) Phased Array Antennas. John Wiley and Sons, Inc., Hoboken.
[7]
Baudrand, H., Titaouine, M., Raveu, N. and Fontgland, G. (2009) Electromagnetic Modeling of Planar almost Periodic Structures. SBMOI/IEEE MTT-S International Microwave and Optoelectronics Conference, Belem, 3-6 November 2009, 427-431. https://doi.org/10.1109/IMOC.2009.5427552
[8]
Hamdi, B., Aguili, T. and Baugrand, H. (2015) Floquet Modal Analysis to Modelize and Study 2D Planar Almost Periodic Structures in Finite and Infinite Extend with Coupled Motifs. Progress in Electromagnetics Research B, 62, 63-86. https://doi.org/10.2528/PIERB14111602
[9]
Hamdi, B., Aguili, T., Ravue, N. and Baugrand, H. (2014) Calculation of Mutual Coupling Parameter and Their Effects in 1D almost Periodic Structures. Progress in Electromagnetics Research B, 59, 269-289. https://doi.org/10.2528/PIERB14021105
[10]
Xi, Y.P., Fang, D.G., Sun, Y.X. and Chow, Y.L. (2005) Mutual Coupling in a Linear Dipole Array of Finit Size. IEE Proceedings-Microwaves Antennas and Propagation, 152, 324-330. https://doi.org/10.1049/ip-map:20045081
[11]
Aguili, T. (2000) Thesis Modélisation des composants SHF planaires par la méthodecircuits equivalents. National Engineering School of Tunis ENIT, El Manar.
[12]
Aubert, H. and Baudrant, H. (2003) L’electromagnetisme par les Schemas Equivalents. Cepadus.
[13]
Raveu, N. and Pigaglio, O. (2012) Résolution de problemes hautes fréquences par les schémas equivalent. Cépadues.
[14]
Latifa, N.B. and Aguili, T. (2019) Synthesis and Optimization of almost Periodic Antennas Using Floquet Modal Analysis and MoM-GEC Method. Journal of Electromagnetic Analysis and Applications, 11, 1-16. https://doi.org/10.4236/jemaa.2019.111001
[15]
Rodrguez-Berral, R., Mesa, F., Baccarelli, P. and Burghignoli, P. (2009) Periodic Microstrip Line by an Aperiodic Delta-Gap Source. IEEE Trans. Antennas Propagat. Letters, 8, 641-644. https://doi.org/10.1109/LAWP.2009.2023252
[16]
Skrivervik, K. and Mosig, L. (1992) Finite Phased Array of Microstrip Patch Antennas: The Infinite Array Approach. IEEE Trans Antennas Propagation, 40, 579-582. https://doi.org/10.1109/8.142636
[17]
Bhattacharyya, K.A. (2012) Floquet Modal Based Analysis of Finite and Infinite Phased Array Antennas. Macquarie University and IEEE Joint Lecture, 43.
[18]
Mikkioui, Z. and Baudrand, H. (2008) Bi-Dimensional Bi-Periodic Centred Field Microstrip Leakly Wave Antenna Analysis by a Source Modal Decomposition in Sperctal Domain. IET Microwaves Antennas and Propagation, 3, 1141-1149. https://doi.org/10.1049/iet-map.2008.0060
[19]
Mekkioui, Z. and Baudrand, H. (2008) A Full-Wave Analysis of Uniform Microstrip Leaky-Wave Antenna with Arbitrary Metallic Strips. Electromagnetic, 28, 296-314. https://doi.org/10.1080/02726340802040161
[20]
Sze, K. and Shafai, L. (1999) Reflection Properties of Infinite Periodic Arrays of Rectangular Conducting Patches. Canadian Journal of Electrical and Computer Engineering, 24, 27-33.
[21]
Watanable, K. and Yasumoto, K. (2007) Tow-Dimensional Electromagnetic Scattering of Non-Plane Incident Waves by Periodic Structures. Progress in Electromagnetics Research, 74, 241-271. https://doi.org/10.2528/PIER07050902
[22]
Boufeldja, K. (2011) Modélisation et synthèse de réseaux périodiques et non périodiques d’antennes microrubans par l’application d’un algorithme Génétique-Flou. Université Abou-Beker Belkaid Tlemcen, Chetouane.
[23]
Makarov, S., Puzella, A. and Iyer, V. (2008) Scan Impedance for an Infinite Dipole Array: Accurate Theoretical Model Compared to Numerical Software. IEEE Antennas and Propagation Magazine, 50, 132-149. https://doi.org/10.1109/MAP.2008.4768944
[24]
Latifa, N.B., Bilel, H. and Taoufik, A. (2021) Electronically Steerable Radiation Pattern of Coupled Periodic Antenna Used Floquet Analysis. Applied Computational Electromagnetics Society Journal, 34, 379-382.
[25]
Zhu, X., Shao, W., Li, J. and Dong, Y. (2012) Design and Optimization of Low RCS Patch Antennas Based on a Genetic Algorithm. Progress in Electromagnetics Research, 122, 327-339. https://doi.org/10.2528/PIER11100703
[26]
Shen, D., Wang, N. and Chen, Z. (2005) Modeling and Optimization of Cylindrical Antennas Using the Mode Expansion Method and Genetic Algorithms. International Journal of RF and Microwave Computer Aided Engineering, 15, 511-522. https://doi.org/10.1002/mmce.20095
[27]
Fadlallah, N. (2005) Contribution à l’optimisation de la synthèse du lobe de rayonnement pour une antenne intelligente. Application à la conception de réseaux à déphasage. Université de Limoges, Limoges.
[28]
Reyanaa, A., Panduroa, A., Covarrubias, D. and Mendeza, A. (2012) Design of Steerable Concentric Rings Array for Low Side Lobe Leve. Scientia Iranica, 19, 727-732. https://doi.org/10.1016/j.scient.2011.08.028
[29]
Dauguet, S., Gillard, R., Citerne, J. and Piton, G. (1997) Extension of the Compression Approach to Include the Treatement of Radiation Pattern in the Electromagnetic Analysis of Active Plannar Antennas. IEEE Antennas and Propagation Society International Symposium, Montreal, 13-18 July 1997, 22-25. https://doi.org/10.1109/APS.1997.630069
[30]
Tonn, D.A. and Bansal, R. (2007) Reduction of Side Lobe Levels in Interrupted Phase Array Antennas by Means of a Genetic Algorithm. International Journal of RF and Microwave Computer Aided Engineering, 17, 134-141. https://doi.org/10.1002/mmce.20207
[31]
Kundukulam, S. and Beenamole, K. (2008) Design of a Linear Array Antenna for Shaped Beam Using Genetic Algorithm. International Journal of RF and Microwave Computer Aided Engineering, 18, 410-416. https://doi.org/10.1002/mmce.20299
[32]
Guerraoui, R. (2014) Méthode de calcul de la complexité d’un algorithme. Ecole Polythechnique Fédérale de Lausanne, Lausanne.