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FIRST-PRINCIPLE ANALYSIS FOR ELECTROMAGNETIC EIGEN MODES IN AN OPTICAL METAMATERIAL SLAB

By M. Iwanaga

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Abstract:
Electromagnetic (EM) eigen modes in a fishnet metamaterial (MM) slab have been comprehensively analyzed in an experimental configuration, based only on precise solutions of Maxwell equations. The EM eigen modes were directly detected from light-absorption peaks. Each mode was explicitly characterized by the dispersion diagram and EM field distributions. It was consequently found that the modes were classfied into either inner modes inside the slab or a mode at the interface with the surrounding media. The symmetric properties of the inner modes were clarified using group theory. The interface mode was found to come from surface plasmon polariton at flat metal/insulator interface. The present analysis procedure is generally applicable to MM slabs and enables to clarify the properties without models or assumptions, which have been usually used in MM studies.

Citation:
M. Iwanaga, "First-Principle Analysis for Electromagnetic Eigen Modes in an Optical Metamaterial Slab," Progress In Electromagnetics Research, Vol. 132, 129-148, 2012.
doi:10.2528/PIER12071202
http://www.jpier.org/PIER/pier.php?paper=12071202

References:
1. Itoh, T. and C. Caloz, Electromagnetic Metamaterials, Wiley, New York, 2005.

2. Pendry, J. B. and D. R. Smith, "Reversing light with negative refraction," Phys. Today, Vol. 57, No. 6, 37-41, 2004.
doi:10.1063/1.1784272

3. Solymar, L. and E. Shamonina, Waves in Metamaterials, Oxford University Press, Oxford, 2009.

4. Soukoulis, C. M. and M. Wegener, "Past achievements and future challenges in the development of three-dimensional photonic metamaterials," Nature Photon., Vol. 5, No. 9, 523-530, 2011.

5. Fang, N., D. Xi, J. Xu, M. Ambati, W. Srituravanich, C. Sun, and X. Zhang, "Ultrasonicmetamaterials with negative modulus," Nature Mater., Vol. 5, No. 6, 452-456, 2006.
doi:10.1038/nmat1644

6. Zhang, S., L. Yin, and N. Fang, "Focusing ultrasound with an acoustic metamaterial network," Phys. Rev. Lett., Vol. 102, No. 19, 194301, 2009.
doi:10.1103/PhysRevLett.102.194301

7. Zhang, S., C. Xia, and N. Fang, "Broadband acoustic cloak for ultrasound waves," Phys. Rev. Lett., Vol. 102, No. 2, 024301, 2011.
doi:10.1103/PhysRevLett.106.024301

8. Smith, D. R., S. Schultz, P. Marko·s, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B, Vol. 65, No. 19, 195104, 2002.
doi:10.1103/PhysRevB.65.195104

9. Cho, K., Reconstruction of Macroscopic Maxwell Equations, Springer, Berlin, 2010.

10. Iwanaga, M., "Subwavelength electromagnetic dynamics in stacked complementary plasmonic crystal slabs," Opt. Express, Vol. 18, No. 15, 15389-15398, 2010.
doi:10.1364/OE.18.015389

11. Iwanaga, M., "Electromagnetic eigenmodes in a stacked complementary plasmonic crystal slab," Phys. Rev. B, Vol. 82, No. 15, 155402, 2010.
doi:10.1103/PhysRevB.82.155402

12. Iwanaga, M., N. Ikeda, and Y. Sugimoto, "Enhancement of local electromagnetic fields in plasmonic crystals of coaxial metallic nanostructures ," Phys. Rev. B, Vol. 85, No. 4, 045427, 2012.
doi:10.1103/PhysRevB.85.045427

13. Zhang, S., W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett., Vol. 95, No. 13, 137404, 2005.
doi:10.1103/PhysRevLett.95.137404

14. Dolling, G., C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Low-loss negative-index metamaterial at telecommunication wavelengths," Opt. Lett., Vol. 31, No. 12, 1800-1802, 2006.
doi:10.1364/OL.31.001800

15. Dolling, G., M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780nm wavelength," Opt. Lett., Vol. 32, No. 1, 53-55, 2007.
doi:10.1364/OL.32.000053

16. Dolling, G., M. Wegener, and S. Linden, "Realization of a three-functional-layer negative-index photonic metamaterial," Opt. Lett., Vol. 32, No. 5, 551-553, 2007.
doi:10.1364/OL.32.000551

17. Chettiar, U. K., A. V. Kildishev, H.-K. Yuan, W. Cai, S. Xiao, V. P. Drachev, and V. M. Shalaev, "Dual-band negative index metamaterial: Double negative at 813nm and single negative at 772 nm ," Opt. Lett., Vol. 32, No. 12, 1671-1673, 2007.
doi:10.1364/OL.32.001671

18. Liu, N., L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, "Plasmonic building blocks for magnetic molecules in three-dimensional optical metamaterials," Adv. Mater., Vol. 20, No. 20, 3859-3865, 2008.
doi:10.1002/adma.200702950

19. Valentine, J., S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, "Three-dimensional optical metamaterial with a negative refractive index," Nature, Vol. 455, No. 7211, 376-379, 2008.
doi:10.1038/nature07247

20. Xiao, S., U. K. Chettiar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, "Yellow-light negative-index metamaterials," Opt. Lett., Vol. 34, No. 22, 3478-3450, 2009.
doi:10.1364/OL.34.003478

21. Xiao, S., V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, "Loss-free and active optical negative-index metamaterials," Nature, Vol. 466, No. 7307, 735-738, 2010.
doi:10.1038/nature09278

22. Mary, A., S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, "Theory of negative-refractive-index response of double-fishnet structures," Phys. Rev. Lett., Vol. 101, No. 10, 103902, 2008.
doi:10.1103/PhysRevLett.101.103902

23. Parsons, J., E. Hendry, J. R. Sambles, and W. L. Barnes, "Localized surface-plasmon resonances and negative refractive index in nanostructured electromagnetic metamaterials," Phys. Rev. B, Vol. 80, No. 24, 245117, 2009.
doi:10.1103/PhysRevB.80.245117

24. García-Meca, C., J. Hurtado, J. Martí, A. Martínez, W. Dickson, and A. V. Zayats, "Low-loss multilayered metamaterial exhibiting a negative index of refraction at visible wavelengths," Phys. Rev. Lett., Vol. 106, No. 6, 067402, 2011.
doi:10.1103/PhysRevLett.106.067402

25. Yang, J., C. Sauvan, H. T. Liu, and P. Lalanne, "Theory of fishnet negative-index optical metamaterials," Phys. Rev. Lett., Vol. 107, No. 4, 043903, 2011.
doi:10.1103/PhysRevLett.107.043903

26. Cao, T. and M. J. Cryan, "Modeling of optical trapping using double negative index fishnet metamaterials," Progress In Electromagnetics Research, Vol. 129, 33-49, 2012.

27. Iwanaga, M., "In-plane plasmonic modes of negative group velocity in perforated waveguides," Opt. Lett., Vol. 36, No. 13, 2504-2506, 2011.
doi:10.1364/OL.36.002504

28. Li, L., "New formulation of the fourier modal method for crossed surface-relief gratings," J. Opt. Soc. Am. A, Vol. 14, No. 10, 2758-2767, 1997.
doi:10.1364/JOSAA.14.002758

29. Li, L., "Formulation and comparison of two recursive matrix algorithm for modeling layered diffraction gratings," J. Opt. Soc. Am. A, Vol. 13, No. 5, 1024-1035, 1996.
doi:10.1364/JOSAA.13.001024

30. Rakic, A. D., A. B. Djuru·sic, J. M. Elazar, and M. L. Majewski, "Optical properties of metallic films for vertical-cavity optoelectronic devices," Appl. Opt., Vol. 37, No. 22, 5271-5283, 1998.
doi:10.1364/AO.37.005271

31. Fan, S. and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B, Vol. 65, No. 23, 235112, 2002.
doi:10.1103/PhysRevB.65.235112

32. Swihart, J. C., "Field solution for a thin-film superconducting strip transmission line," J. Appl. Phys., Vol. 32, No. 3, 461-469, 1961.
doi:10.1063/1.1736025

33. Economou, E. N., "Surface plasmons in thin films," Phys. Rev., Vol. 182, No. 2, 539-554, 1969.
doi:10.1103/PhysRev.182.539

34. Sakoda, K., Optical Properties of Photonic Crystals, 2nd Ed., Springer, Berlin, 2005.

35. Ashcroft, N. W. and N. D. Mermin, Solid State Physics, Sauders College, Fort Worth, 1976.


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