paper 150205142917

Published: 2015-07-09

Local Field Effects for Left-handed Planar Metamaterials

Alexey A. Tishchenko,

Alexey A. Tishchenko

National Research Nuclear University ``MEPhI'', Russia

Homepage

O. V. Porvatkina,

O. V. Porvatkina

National Research Nuclear University ``MEPhI", Russia

Homepage

M. N. Strikhanov

National Research Nuclear University ``MEPhI'', Russia

Homepage

Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)1689-1692

Abstract

We consider dielectric and magnetic properties of left-handed planar metamaterials with negative permittivity and permeability. In our work we investigate planar metamaterials consist of anisotropic particles. We obtain dependence of permittivity on dielectric polarizability and permeability on magnetic polarizability of the particles. Local field effects are taken into account in calculations. These effects are caused by interaction between single particles. We also obtain the generalized Clausius-Mossotti relations for planar metamaterials made of anisotropic particles in the long wave approximation. We calculate a response function to an external elec- tromagnetic field in case of planar metamaterial. This function describes connection between external electromagnetic field and the local field. On the one hand, such connection allows us to analyze structure of electromagnetic field in the near-field regime. On the other hand, the relationship between the field interacting with particles in the planar metamaterials and the ex- ternal field is of key importance for calculations of characteristics of the electromagnetic radiation generated by charged particles or particle beams passing through or near the planar structures.

Citation

Alexey A. Tishchenko, O. V. Porvatkina, and M. N. Strikhanov, "Local Field Effects for Left-handed Planar Metamaterials," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)1689-1692

References

1. Zhang, W., A. Potts, and D. M. Bagnall, "Giant optical activity in dielectric planar metamaterials with two-dimensional chirality," Journal of Optics A: Pure and Applied Optics, Vol. 8, No. 10, 878–890, August 2006.
doi:10.1088/1464-4258/8/10/009 Google Scholar

2. Ourir, Abdelwaheb, Redha Abdeddaim, and Julien de Rosny, "Double-T metamaterial for parallel and normal transverse electric incident waves," Optics Letters, Vol. 36, No. 9, 1527–1529, April 2011.
doi:10.1364/ol.36.001527 Google Scholar

3. Ryazanov, M. I., M. N. Strikhanov, and A. A. Tishchenko, "Local field effect in diffraction radiation from a periodical system of dielectric spheres," Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 266, No. 17, 3811–3815, September 2008.
doi:10.1016/j.nimb.2008.05.124 Google Scholar

4. Zhang, Jianfa, Kevin F. MacDonald, and Nikolay I. Zheludev, "Giant optical forces in planar dielectric photonic metamaterials," Optics Letters, Vol. 39, No. 16, 4883–4886, August 2014.
doi:10.1364/ol.39.004883 Google Scholar

5. Abdeddaim, Redha, Abdelwaheb Ourir, and Julien de Rosny, "Realizing a negative index metamaterial by controlling hybridization of trapped modes," Physical Review B, Vol. 83, No. 3, 033101, January 2011.
doi:10.1103/physrevb.83.033101 Google Scholar

6. Ourir, Abdelwaheb and Habiba Hafdallah Ouslimani, "Negative refractive index in symmetric cut-wire pair metamaterial," Applied Physics Letters, Vol. 98, No. 11, 113505, March 2011.
doi:10.1063/1.3565160 Google Scholar

7. Porvatkina, O. V., A. A. Tishchenko, and M. N. Strikhanov, "Local field effects in anisotropic metamaterials," Journal of Physics: Conference Series, Vol. 541, 012024, October 2014.
doi:10.1088/1742-6596/541/1/012024 Google Scholar

8. Ryazanov, M. I., Electrodynamics of Condensed Matter, Nauka, Moscow, 1984 (in Russian). Google Scholar

9. Cai, W. and V. Shalaev, Optical Metamaterials, Springer, New York, 2010. Google Scholar

10. Husu, Hannu, Brian K. Canfield, Janne Laukkanen, Benfeng Bai, Markku Kuittinen, Jari Turunen, and Martti Kauranen, "Local-field effects in the nonlinear optical response of metamaterials," Metamaterials, Vol. 2, No. 2-3, 155–168, September 2008.
doi:10.1016/j.metmat.2008.06.001 Google Scholar

11. Ryazanov, M. I. and A. A. Tishchenko, "Clausius-Mossotti-type relation for planar monolayers," Journal of Experimental and Theoretical Physics, Vol. 103, No. 4, 539–545, October 2006.
doi:10.1134/s1063776106100049 Google Scholar