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All issues Volume 21 / No 1 (January-March 2015) ESAIM: COCV, 21 1 (2015) 217-246 References
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Issue
ESAIM: COCV
Volume 21, Number 1, January-March 2015
Page(s) 217 - 246
DOI https://doi.org/10.1051/cocv/2014026
Published online 09 December 2014
  1. G. Allaire, Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 (1992) 1482–1518. [Google Scholar]
  2. G. Bouchitté and C. Bourel, Multiscale nanorod metamaterials and realizable permittivity tensors. Commun. Comput. Phys. 11 (2012) 489–507. [Google Scholar]
  3. G. Bouchitté and D. Felbacq, Homogenization near resonances and artificial magnetism from dielectrics. C. R. Math. Acad. Sci. Paris 339 (2004) 377–382. [CrossRef] [MathSciNet] [Google Scholar]
  4. G. Bouchitté and D. Felbacq, Homogenization of a wire photonic crystal: the case of small volume fraction. SIAM J. Appl. Math. 66 (2006) 2061–2084. [CrossRef] [Google Scholar]
  5. G. Bouchitté and B. Schweizer, Homogenization of Maxwell’s equations in a split ring geometry. Multiscale Model. Simul. 8 (2010) 717–750. [CrossRef] [Google Scholar]
  6. G. Bouchitté, C. Bourel and D. Felbacq, Homogenization of the 3D Maxwell system near resonances and artificial magnetism. C. R. Math. Acad. Sci. Paris 347 (2009) 571–576. [CrossRef] [MathSciNet] [Google Scholar]
  7. A. Bourgeat, A. Mikelić and S. Wright, Stochastic two-scale convergence in the mean and applications. J. Reine Angew. Math. 456 (1994) 19–51. [MathSciNet] [Google Scholar]
  8. D. Cioranescu and J.S.J. Paulin, Homogenization in open sets with holes. J. Math. Anal. Appl. 71 (1979) 590–607. [CrossRef] [MathSciNet] [Google Scholar]
  9. D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory. Vol. 93 of Appl. Math. Sci. Springer-Verlag, Berlin, 2nd edition (1998). [Google Scholar]
  10. D.J. Daley and D. Vere-Jones, An introduction to the theory of point processes. General theory and structure. Vol. 2 of Probab. Appl. Springer, New York, 2nd edition (2008). [Google Scholar]
  11. D. Felbacq and G. Bouchitté, Theory of mesoscopic magnetism in photonic crystals. Phys. Rev. Lett. 94 (2005) 183902. [CrossRef] [PubMed] [Google Scholar]
  12. R.M. Dudley. Real analysis and probability, Mathematics Series. Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, CA (1989). [Google Scholar]
  13. D. Felbacq, G. Tayeb and D. Maystre, Scattering by a random set of parallel cylinders. J. Optim. Soc. Am. A 11 (1994) 2526–2538. [Google Scholar]
  14. D. Felbacq and G. Bouchitté, Negative refraction in periodic and random photonic crystals. New J. Phys. 7 (2005) 159. [CrossRef] [Google Scholar]
  15. G. Bouchitté and D. Felbacq, Homogenization of a set of parallel fibers. Waves in Random Media 7 (1997) 1–12. [CrossRef] [Google Scholar]
  16. A.A. Houck, J.B. Brock and I.L. Chuang, Experimental observations of a left-handed material that obeys snell’s law. Phys. Rev. Lett. 90 137401 (2003). [CrossRef] [PubMed] [Google Scholar]
  17. V.V. Jikov, S.M. Kozlov and O.A. Oleĭnik, Homogenization of differential operators and integral functionals. Springer-Verlag, Berlin (1994). [Google Scholar]
  18. R.V. Kohn and S.P. Shipman, Magnetism and homogenization of microresonators. Multiscale Model. Simul. 7 (2008) 62–92. [CrossRef] [Google Scholar]
  19. G. Nguetseng, A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20 (1989) 608–623. [CrossRef] [MathSciNet] [Google Scholar]
  20. S. O’Brien and J.B. Pendry, Magnetic activity at infrared frequencies in structured metallic photonic crystals. J. Phys.: Condensed Matter 14 (2002) 6383–6394. [Google Scholar]
  21. S. O’Brien and J.B. Pendry, Photonic band-gaps effects and magnetic activity in dielectric composites. J. Phys.: Condensed Matter 14 (2002) 4035. [Google Scholar]
  22. J.B. Pendry, A.J. Holden, D.J. Robbins and W.J. Stewart, Magnetism from conductors and enhanced nonlinear phenomena. Microwave Theory and Techniques. IEEE Trans. 47 (1999) 2075–2084. [Google Scholar]
  23. R.A. Shelby, D.R. Smith and S. Schultz, Experimental verification of a negative index of refraction. Science 292 (2001) 77–79. [CrossRef] [PubMed] [Google Scholar]
  24. D.R. Smith, Willie J. Padilla, D.C. Vier, S.C. Nemat-Nasser and S. Schultz, Composite medium with simultaneously negative permeability and permittivity. Phys. Rev. Lett. 84 (2000) 4184–4187. [CrossRef] [PubMed] [Google Scholar]
  25. V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ϵ and μ. Soviet Phys. Usp. 10 (1968) 509. [Google Scholar]
  26. V.V. Zhikov and A.L. Piatnitski, Homogenization of random singular structures and random measures. Izv. Ross. Akad. Nauk Ser. Mat. 70 (2006) 23–74. [CrossRef] [MathSciNet] [Google Scholar]

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