volume | PIER Journals

Abstract

The concept of Scale-Changing Network is reported for the electromagnetic modeling of complex planar structures composed of a collection of metallic patterns printed on a dielectric surface and whose size covers a large range of scale. Examples of such multi-scale structures are provided by multi-band frequency-selective surfaces, finitesize arrays of non-identical cells and fractal planar objects. Scale-Changing Networks model the electromagnetic coupling between various scale levels in the studied structure and are computed separately. The cascade of Scale-Changing Networks bridges the gap between the smallest and the highest scale levels and allows forming a monolithic (unique) electromagnetic formulation for the global electromagnetic simulation of complex planar structures. Derivation of these networks is presented and key advantages of the electromagnetic approach are reported.

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5. Baudrand, H., "Electromagnetic study of coupling between active and passive circuits," Microwave and Optoelectronics Conference, Vol. 1, 143-152, Aug. 11-14, 1997.

6. Perret, E., H. Aubert, and H. Legay, "Scale-Changing technique for the electromagnetic modelling of MEMS-controlled planar phase-shifters," IEEE Trans. Microwave Theory and Tech., Vol. 54, No. 9, 3594-3601, Sep. 2006.
doi:10.1109/TMTT.2006.879777

7. Perret, E., N. Raveu, H. Aubert, and H. Legay, "Scale-Changing technique for MEMS-controlled phase-shifters," 36th European Microwave Week, 866-869, Manchester, United Kingdom, Sep. 10-15, 2006.

8. Voyer, D., H. Aubert, and J. David, "Scale-changing technique for the electromagnetic modeling of planar self-similar structures," IEEE Trans. Antennas Propagat., Vol. 54, No. 10, 2783-2789, Oct. 2006.
doi:10.1109/TAP.2006.882157

9. Voyer, D., H. Aubert, and J. David, "Radar cross section of discrete self-similar objects using a recursive electromagnetic analysis," IEEE Antennas and Propagation Society International Symposium, Vol. 4, 4260-4263, Monterey, California, USA, Jun. 20-26, 2004.

10. Voyer, D., H. Aubert, and J. David, "Radar cross section of self-similar targets," Electronics Letters, Vol. 41, No. 4, 215-217, Feb. 17, 2005.
doi:10.1049/el:20057319

11. Perret, E. and H. Aubert, "Scale-Changing technique for the computation of the input impedance of active patch antennas," IEEE Antennas and Wireless Propagation Letters, Vol. IEEE Ant, 326-328, 2005.
doi:10.1109/LAWP.2005.853999

12. Perret, E. and H. Aubert, "A multi-scale technique for the electromagnetic modeling of active antennas," IEEE Antennas and Propagation Society International Symposium, Vol. 4, 3923-3926, Monterey, California, USA, Jun. 20-25, 2004.

13. Raveu, N., G. Prigent, H. Aubert, P. Pons, and H. Legay, "Scale-Changing technique design and optimisation tool for active reflect-arrays cell," 37th European Microwave Conference, 736-739, Munchen, Germany, Oct. 9-12, 2007.

14. Raveu, N., E. Perret, H. Aubert, and H. Legay, "Design of MEMS controlled phase shifter using SCT," PIERS Online, Vol. 3, No. 2, 230-232, Beijing, China, Mar. 26-30, 2007.
doi:10.2529/PIERS060907032452

15. Raveu, N., E. Perret, H. Aubert, and H. Legay, "Scale-changing technique: A design tool for reflectarrays active cells," Proceedings of the European Microwave Association, Vol. 4, No. 2, 163-168, Journal of the European Microwave Association, Jun. 2008.

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21. Baudrand, H., H. Aubert, D. Bajon, and F. Bouzidi, "Equivalent network representation of boundary conditions involving generalized trial quantities," Annals of Telecommunications, Vol. 52, No. 5-6, 285-292, 1997.

22. Baudrand, H., Introduction au Calcul des Elements de Circuits Passifs en Hyperfrequences, Editions Cepadues, 2000.

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24. Bouzidi, F., H. Aubert, D. Bajon, and H. Baudrand, "Equivalent network representation of boundary conditions involving generalized trial quantities --- Application to lossy transmission lines with finite metallization thickness," IEEE Trans. Microwave Theory and Tech., Vol. 45, 869-876, Jun. 1997.
doi:10.1109/22.588594

25. Nadarassin, M., H. Aubert, and H. Baudrand, "Analysis of planar structures by an integral approach using entire domain trial functions," IEEE Trans. Microwave Theory and Tech., Vol. 10, 2492-2495, Oct. 1995.
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26. Larbi, C., A. Bouallegue, and H. Baudrand, "Utilisation d'un processus de renormalisation pour l'etude electromagnetique des structures fractales bidimensionnelles," Annales des Telecommunications, Vol. 60, No. 7-8, 1023-1050, 2005.

27. Larbi, C., T. Ben Salah, T. Aguili, A. Bouallegue, and H. Baudrand, "Study of the Sierpinski's Carpet fractal planar antenna by the renormalisation method," International Journal of Microwave and Optical Technology, 58-65, 2005.

Prof. Herve Aubert