Study of electromagnetic waves diffraction by bi-dimensional fractal structures using the renormalization method

AEU - International Journal of Electronics and Communications

Volumn 63, Issue 9, 2009, Pages 720-727

  Larbi Aguili, Chiraz ^a   Ben Salah, Taha ^a   Aguili, Taoufik ^a   Bouallegue, Ammar ^a,b   Baudrand, Henri ^b  

^a UNIVERSITY OF TUNIS EL MANAR   (Tunisia)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Diffraction; Fixed point; Fractals; Renormalization; Surface impedance

Indexed keywords

ANALYSIS OF FRACTALS; CONVENTIONAL METHODS; ELECTROMAGNETIC DIFFRACTIONS; FIXED POINT; FRACTAL STRUCTURES; LENGTH SCALE; RENORMALIZATION; RENORMALIZATION METHODS; SURFACE IMPEDANCE; SURFACE IMPEDANCE MODELS;

ELECTROMAGNETIC WAVE DIFFRACTION;

FRACTALS;

EID: 67651165266     PISSN: 14348411     EISSN: 16180399     Source Type: Journal    
DOI: 10.1016/j.aeue.2008.05.013     Document Type: Article

References (20)

1. Romeu, et al. Generalized sierpinski fractal multiband antenna. IEEE Trans Antenna Propag 49 (2001) 1237-1239
2. Elkamchouchi HM, Abd El-Salam MN. Square loop antenna miniaturization using fractal geometry. In: NRSC (edition). Radio science conference, Proceedings of the twentieth national, vol. B4- 1-8, 2003; p. 18-20.
3. Surre F, Saleh AS, Aubert H. Selective microwave filers based on self similar and lacunar structures. In: IEEE antennas propagation symposium, conference proceedings, San Antanio, Texas, 2002; p. 840-843.
4. Petko JS, Werner DH. Dense 3d fractal tree structures as miniature end-loaded dipole antennas. Antennas and propagation society international symposium, 2002; p. 94- 97.
5. Werner D.H., and Ganguly S. An overview of fractal antenna engineering research. Antennas Propag Mag IEEE 45 (2003) 38-57
6. Mandelbrot B. Fractal objects. Flammarion, 1975.
7. Wilson KG. Les systémes physiques et les échelles de longueur. Pour la science, 1979.
8. Lagües M, Lesne A. Scaling invariance, status changes at turbulence. Belin Edition, 2003.
9. Kinsner W. Unified approach to fractal dimensions. In: ICCI (edition). Fourth IEEE conference on cognitive informatics, August 2005; p. 58-72.
10. Grayaa K, Hamdi N, Aguili T, Bouallegue A. Fullwave analysis of shielded planar circuits using different models of sources. In: IEEE Proc Microwave of Antenna Propag 2004.
11. Alatan, et al. Analytical evaluation of MoM matrix elements. IEEE Trans Microwave Theory Tech 44 (1996) 519-525
12. Surre F., Saleh A.S., and Aubert H. Frequency response of self similar planar waveguides. Microwave Opt Tech Lett (MWOLT) 27 (2003)
13. Werner D.H., Baldacci D., and Werner P.L. An efficient recursive procedure for evaluating the impedance matrix of linear and planar fractal arrays. IEEE Trans Antennas Propag 52 (2004) 380-387
14. Wilson K.G. Renormalisation group and Kadanoff scaling picture. Phys Rev B 1 (1971)
15. Berizzi F., and Dalle-Mese E. Scattering from a 2d sea fractal surface: fractal analysis of the scattered signal. Antennas Propag IEEE Trans 50 (2002) 912-925
16. Berizzi F., and Mese E.D. Scattering coefficient evaluation from a two-dimensional sea fractal surface. Antennas Propag IEEE Trans 50 (2002) 426-434
17. Frezza F., Pajewski L., and Schettini G. Fractal two-dimensional electromagnetic bandgap structures. Microwave Theory Tech IEEE Trans 52 (2004) 220-227
18. Ficher M.E. The renormalisation group theory: its bases formulation in statistical physics. Rev Mod 46 (1974)
19. Larbi C., Bouallegue A., and Boudran H. Utilization of the renormalization process to study electromagnetic bi-dimensional fractal structures. Ann Telecoms 60 (2005) 1023-1050
20. Ben Salah T, Aguili T. Study of fractal multi-scale structure using multiport model. In: OHD 2005, 2005.