Modeling of 3-D periodic multiphase composites by homogenization

IEEE Transactions on Microwave Theory and Techniques

Volumn 54, Issue 6, 2006, Pages 2615-2618

  Ouchetto, Ouail ^b   Zouhdi, Saïd ^a,b   Bossavit, Alain ^b   Griso, Georges ^c   Miara, Bernadette ^d  

^a IEEE   (France)

^b SUPELEC   (France)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^d Ecole Superieure d'Ingenieurs en   (France)

Author keywords

Composite materials; Effective permittivity; Finite element method (FEM); Metamaterials; Periodic arrays

Indexed keywords

ASYMPTOTIC MULTISCALE METHOD; EFFECTIVE PERMITTIVITY; METAMATERIALS; PERIODIC ARRAYS;

ASYMPTOTIC ANALYSIS; COMPUTATIONAL METHODS; ELECTROMAGNETIC FIELD EFFECTS; FINITE ELEMENT METHOD; HOMOGENIZATION METHOD; MAXWELL EQUATIONS; PERMITTIVITY;

COMPOSITE MATERIALS;

EID: 33750837582     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2006.872928     Document Type: Article

References (18)

1. 3 composite films," J. Appl. Phys., vol. 55, no. 9, pp. 3382-3410, May 1984.
2. W. E. Kock, "Metal-lens antenna design," Proc. IRE, vol. 34, no. 11, pp. 828-836, Nov. 1946.
3. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of and," (in Russian) Sov. Phys.-Usp., vol. 10, no. 4, pp. 509-514, 1968,
4. (Usp. Fiz. Nauk, vol. 92, pp. 517-526, 1967).
5. S. Zouhdi, A. Sihvola, and M. Arsalane, Eds., Advances in Electro-Magnetics of Complex Media and Metamaterials, ser. NATO Sci. II: Math., Phys., Chem. Dordrecht, The Netherlands: Kluwer, 2003, vol. 89.
6. D. R. Smith and N. Kroll, "Negative refractive index in left-handed materials," Phys. Rev. Lett., vol. 85, no. 14, pp. 2933-2936, Oct. 2000.
7. J. C. M. Garnett, "Colors in metal glasses and metal films," Trans. R. Soc., vol. CCIII, pp. 385-420, 1904.
8. D. A. G. Bruggeman, "Berechnung verschiedener physikalischer konstanten von heterogenen substanzen, i. dielektrizitätskonstanten und leitfähigkeiten der mischkörper aus isotropen substanzen," Ann. Phys., vol. 24, no. 5, pp. 636-664, 1935.
9. A. Sihvola, Electromagnetic Mixing Formulae and Applications, ser. Electromagn. Waves. London, U.K.: IEE Press, 1999.
10. M. El Feddi, Z. Ren, A. Razek, and A. Bossavit, "Homogenization technique for Maxwell equations in periodic structures," IEEE Trans. Magn., vol. 33, no. 2, pp. 1382-1385, Mar. 1997.
11. F. Wu and K. W. Whites, "Quasi-static effective permittivity of periodic composites containing complex shaped dielectric particles," IEEE Trans. Antennas Propag., vol. 49, no. 8, pp. 1174-1182, Aug. 2001.
12. K. W. Whites, "Effects of periodic particle shape on the effective permittivity of composite materials with measurements for lattices of cubes," IEEE Trans. Microw. Theory Tech., vol. 50, no. 7, pp. 1723-1729. Jul. 2002.
13. B. Soreni, L. Krahenbuhl, A. Beroual, and A. Nicolas, "A boundary integral equation method for the calculation of the effective permittivity of periodic composites," IEEE Trans. Magn., vol. 33, no. 2, pp. 1580-1583, Mar. 1997.
14. O. Ouchetto, S. Zouhdi, A. Bossavit, G. Griso, and B. Miara, "Effective constitutive parameters of periodic composites," in Eur. Microw. Conf., Paris, France, Oct. 2005, p. 145.
15. _, "Homogenization of 3-D structured composites of complex shaped inclusions," in Progress Electromagn. Res. Symp., Hangzhou, China, Aug. 2005, p. 112.
16. A. Bossavit, G. Griso, and B. Miara, "Modeling of periodic electromagnetic structures. Bianisotropic materials with memory effects," J. Math. Pures Appl., vol. 84, pp. 819-850, 2005.
17. D. Cioranescu, A. Damlamian, and G. Griso, "Periodic unfolding and homogenization," C. R. Acad. Sci. Paris, ser. I, vol. 335, pp. 99-104, 2002.
18. A. Bossavit, G. Griso, and B. Miara, "Modélization de structures électromagnétiques périodiques. Matériaux bianisotropiques avec mémoire," C. R. Acad. Sci. Paris, ser. I, vol. 338. pp. 97-102, 2004.