From photonic crystals (via homogenization) to metamaterials

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6320, Issue , 2006, Pages

  Halevi, Peter ^a   Pérez Rodríguez, Felipe ^a,b  

^a INSTITUTO NACIONAL DE ASTROFÍSICA   (Mexico)

^b BENEMÉRITA UNIVERSIDAD AUTÓNOMA DE PUEBLA   (Mexico)

Author keywords

Bi anisotropic constitutive relations; Homogenization theories; Photonic crystals

Indexed keywords

INCLUSIONS; MAGNETOELECTRIC EFFECTS; MATERIALS SCIENCE; PERMITTIVITY; WAVE EQUATIONS;

BI-ANISOTROPIC CONSTITUTIVE RELATIONS; HOMOGENIZATION THEORIES; PERMEABILITY TENSOR; PHOTONIC CRYSTALS;

SINGLE CRYSTALS;

EID: 33751065636     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.681021     Document Type: Conference Paper

References (14)

1. L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media, Elsevier Butterworth-Heinemann, Amsterdam, 2004.
2. J.D. Jackson, Classical electrodynamics, John Wiley & and Sons, New York, 1975.
3. R.M. Hornreich and S. Shtrikman, "Theory of Gyrotropic Birefringence", Phys. Rev. 171, 1065 (1968).
4. V.M. Agranovich and V.L. Ginzburg,Crystal Optics with Spatial Dispersion, and Excitons, Springer Series in Solid-State Sciences 42, Springer-Verlag, Berlin, 1984.
5. D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, and S. Schultz, "Composite Medium with Simultaneously Negative Permeability and Permittivity", Phys. Rev. Lett. 84, 4184 (2000);
6. R.A. Shelby, D.R. Smith, S.C. Nemat-Nasser, and S. Schultz, "Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial" Appl. Phys. Lett 78, 489 (2001).
7. D.R. Smith, D.C. Vier, N. Kroll, and S. Schultz, "Direct calculation of permeability and permittivity for a left-handed metamaterial" Appl. Phys. Lett. 77, 2246 (2000);
8. D.R. Smith and J.B. Pendry, "Homogenization of metamaterials by field averaging (invited paper)" J. Opt. Soc. Am. B 23, 391 (2006), and references therein.
9. S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures", Phys. Rev. B 48, 14936 (1993).
10. P. Halevi, A.A. Krokhin, and J. Arriaga, "Photonic Crystal Optics and Homogenization of 2D Periodic Composites", Phys. Rev. Lett. 82, 719 (1999);
11. A.A. Krokhin, P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals", Phys. Rev. B, 65, 115208 (2002).
12. W.L. Mochán and R.G. Barrera, "Electromagnetic response of systems with spatial fluctuations. I. General formalism", Phys. Rev. B 32, 4984 (1985).
13. J.B. Pendry, A.J. Holden, W.J. Stewart, and I. Youngs, "Extremely Low Frequency Plasmons in Metallic Mesostructures", Phys. Rev. Lett. 76, 4773 (1996).
14. P. Halevi and F. Pérez-Rodríguez, "From photonic crystals to metamaterials: an exact homogenization theory", Phys. Rev. Lett., submitted.