volume | PIER Journals

Abstract

The rigorous modeling and analysis of surface waves at the boundary of two metamaterials are presented. The nature of the phenomenon of the surface-plasmon-polaritons and the influence of various parameters on it are investigated. We have analyzed the properties of structures incorporating nanostructured metamaterials. Surface-plasmon-polaritons at the interface of such metamaterials are studied. We demonstrate the ways to control the properties of the surface waves. Each metamaterial comprises alternating metal and dielectric layers. We analyze the dependence of the dispersion characteristics on the materials employed in metal-dielectric compound. The consistency of the dispersion diagrams and effective permittivity is studied. The Drude model is introduced in the metal dispersion in order to take into account the effects of the structure on dielectric properties.

1. Yan, H., X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, "Tunable infrared plasmonic devices using graphene/insulator stacks," Nat. Nanotechnol., Vol. 7, 330, 2012.
doi:10.1038/nnano.2012.59 Google Scholar

2. Viti, L., D. Coquillat, A. Politano, K. A. Kokh, Z. S. Aliev, M. B. Babanly, O. E. Tereshchenko, W. Knap, E. V. Chulkov, and M. S. Vitiello, "Plasma-wave terahertz detection mediated by topological insulators surface states," Nano Lett., Vol. 16, 80, 2016.
doi:10.1021/acs.nanolett.5b02901 Google Scholar

3. Politano, A. and G. Chiarello, "Unravelling suitable graphene-metal contacts for graphene-based plasmonic devices," Nanoscale, Vol. 5, 8215, 2013.
doi:10.1039/c3nr02027d Google Scholar

4. Radkovskaya, A., E. Tatartschuk, O. Sydoruk, E. Shamonina, C. J. Stevens, D. J. Edwards, and L. Solymar, "Surface waves at an interface of two metamaterial structures with interelement coupling," Phys. Rev. B, Vol. 82, 045430, 2010.
doi:10.1103/PhysRevB.82.045430 Google Scholar

5. Echtermeyer, T. J., S. Milana, U. Sassi, A. Eiden, M. Wu, E. Lidorikis, and A. C. Ferrari, "Surface plasmon polariton graphene photodetectors," Nano Lett., Vol. 16, 8, 2015.
doi:10.1021/acs.nanolett.5b02051 Google Scholar

6. Politano, A. and G. Chiarello, "The influence of electron confinement, quantum size effects, and film morphology on the dispersion and the damping of plasmonic modes in Ag and Au thin films," Prog. Surf. Sci., Vol. 90, 144, 2015.
doi:10.1016/j.progsurf.2014.12.002 Google Scholar

7. Nechaev, I. A., I. Aguilera, V. De Renzi, A. di Bona, A. Lodi Rizzini, A. M. Mio, G. Nicotra, A. Politano, S. Scalese, Z. S. Aliev, M. B. Babanly, C. Friedrich, S. Blügel, and E. V. Chulkov, "Quasiparticle spectrum and plasmonic excitations in the topological insulator Sb₂Te₃," Phys. Rev. B, Vol. 91, 245123, 2015.
doi:10.1103/PhysRevB.91.245123 Google Scholar

8. Politano, A., "Interplay of structural and temperature effects on plasmonic excitations at noble-metal interfaces," Philos. Mag., Vol. 92, 768, 2012.
doi:10.1080/14786435.2011.634846 Google Scholar

9. Pendry, J. B., L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science, Vol. 305, 847, 2004.
doi:10.1126/science.1098999 Google Scholar

10. Poddubny, A., I. Iorsh, P. Belov, and Y. Kivshar, "Hyperbolic metamaterials," Nat. Photon., Vol. 7, 948, 2013.
doi:10.1038/nphoton.2013.243 Google Scholar

11. Jacob, Z., L. V. Alekseyev, and E. Narimanov, "Optical hyperlens: far-field imaging beyond the diffraction limit," Opt. Express, Vol. 14, 8247, 2006.
doi:10.1364/OE.14.008247 Google Scholar

12. Fang, A., T. Koschny, and C. M. Soukoulis, "Optical anisotropic metamaterials: negative refraction and focusing," Phys. Rev. B, Vol. 79, 245127, 2009.
doi:10.1103/PhysRevB.79.245127 Google Scholar

13. García-Chocano, V. M., J. Christensen, and J. Sa’nchez-Dehesa, "Negative refraction and energy funneling by hyperbolic materials: An experimental demonstration in acoustics," Phys. Rev. Lett., Vol. 112, 144301, 2014.
doi:10.1103/PhysRevLett.112.144301 Google Scholar

14. Liu, Z. W., H. Lee, Y. Xiong, C. Sun, and X. Zhang, "Far-field optical hyperlens magnifying sub-diffraction-limited objects," Science, Vol. 315, 1686, 2007.
doi:10.1126/science.1137368 Google Scholar

15. Lu, D., J. J. Kan, E. E. Fullerton, and Z. W. Liu, "Enhancing spontaneous emission rates of molecules using nanopatterned multilayer hyperbolic metamaterials," Nat. Nanotech., Vol. 9, 48, 2014.
doi:10.1038/nnano.2013.276 Google Scholar

16. Ramakrishna, S. A. and J. B. Pendry, "Optical gain removes absorption and improves resolution in a near-field lens," Phys. Rev. B, Vol. 67, 201101, 2003.
doi:10.1103/PhysRevB.67.201101 Google Scholar

17. Belov, P. A. and Y. Hao, "Subwavelength imaging at optical frequencies using a transmission device formed by a periodic layered metal-dielectric structure operating in the canalization regime," Phys. Rev. B, Vol. 73, 113110, 2006.
doi:10.1103/PhysRevB.73.113110 Google Scholar

18. Li, X., S. He, and Y. Jin, "Subwavelength focusing with a multilayered Fabry-Perot structure at optical frequencies," Phys. Rev. B, Vol. 75, 045103, 2007. Google Scholar

19. Liu, Z., H. Lee, Y. Xiong, C. Sun, and X. Zhang, "Optical hyperlens magnifying sub-diffraction-limited objects," Science, Vol. 315, 1686, 2007.
doi:10.1126/science.1137368 Google Scholar

20. Xiong, Y., Z. Liu, and X. Zhang, "Projecting deep-subwavelength patterns from diffraction-limited masks using metal-dielectric multilayers," Appl. Phys. Lett., Vol. 93, 111116, 2008.
doi:10.1063/1.2985898 Google Scholar

21. Engheta, N., "Circuits with light at nanoscales: Optical nanocircuits inspired by metamaterials," Science, Vol. 317, 1698, 2007.
doi:10.1126/science.1133268 Google Scholar

22. Hoffman, A. J., L. Alekseyev, S. S. Howard, K. J. Franz, D. Wasserman, V. A. Podolskiy, E. E. Narimanov, D. L. Sivco, and C. Gmachl, "Negative refraction in semiconductor metamaterials," Nature Mater., Vol. 6, 946, 2007.
doi:10.1038/nmat2033 Google Scholar

23. Smith, D. R. and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett., Vol. 90, 077405, 2003.
doi:10.1103/PhysRevLett.90.077405 Google Scholar

24. Scalora, M., G. D’Aguanno, N. Mattiucci, M. J. Bloemer, D. De Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, "Negative refraction and subwavelength focusing in the visible range using transparent metallo-dielectric stacks," Opt. Express, Vol. 15, 508, 2007.
doi:10.1364/OE.15.000508 Google Scholar

25. Liu, Y., G. Bartal, and X. Zhang, "All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region," Opt. Express, Vol. 16, 15439, 2008.
doi:10.1364/OE.16.015439 Google Scholar

26. Song, Z. and W. Jian, "Splitting the surface wave in metal/dielectric nanostructures," Chinese Phys. B, Vol. 20, 067901, 2011.
doi:10.1088/1674-1056/20/6/067901 Google Scholar

27. Yeshchenko, O., I. Bondarchuk, S. Malynych, Y. Galabura, G. Chumanov, and I. Luzinov, "Surface plasmon modes of sandwich-like metal-dielectric nanostructures," Plasmonics, Vol. 10, 655, 2015.
doi:10.1007/s11468-014-9851-8 Google Scholar

28. Dong, Z., M. Bosman, D. Zhu, X. M. Goh, and J. K. Yang, "Fabrication of suspended metal-dielectric-metal plasmonic nanostructures," Nanotechnology, Vol. 25, 135303, 2014.
doi:10.1088/0957-4484/25/13/135303 Google Scholar

29. Agranovich, V. M. and V. E. Kravtsov, "Notes on crystal optics of superlattices," Solid State Commun., Vol. 55, 85, 1985.
doi:10.1016/0038-1098(85)91111-1 Google Scholar

30. Iorsh, I., A. Orlov, P. Belov, and Y. Kivshar, "Interface modes in nanostructured metal-dielectric metamaterials," Appl. Phys. Lett., Vol. 99, 151914, 2011.
doi:10.1063/1.3643152 Google Scholar

31. Raether, H., Surface Polaritons, in V. M. Agranovich, D. L. Mills, (Eds.), Surface Plasmons, Springer, New York, 1988.

32. Alu, A., N. Engheta, and R. W. Ziolkowski, "FDTD analysis of the tunneling and growing exponential in a pair of epsilon-negative and mu-negative slabs," Phys. Rev. E, Vol. 74, 016604, 2006.
doi:10.1103/PhysRevE.74.016604 Google Scholar

33. Johnson, P. B. and R. W. Christy, "Optical constants of the noble metals," Phys. Rev. B, Vol. 6, 4370, 1972.
doi:10.1103/PhysRevB.6.4370 Google Scholar

34. Liu, Z., H. Lee, Y. Xiong, C. Sun, and X. Zhang, "Far-field optical hyperlens magnifying subdiffraction-limited objects," Science, Vol. 315, 1686, 2007.
doi:10.1126/science.1137368 Google Scholar

35. Kim, J., V. P. Drachev, Z. Jacob, G. V. Naik, A. Boltasseva, E. E. Narimanov, and V. M. Shalaev, "Improving the radiative decay rate for dye molecules with hyperbolic metamaterials," Opt. Express, Vol. 20, 8100-8116, 2012.
doi:10.1364/OE.20.008100 Google Scholar

36. Tumkur, T., G. Zhu, P. Black, Yu. A. Barnakov, C. E. Bonner, and M. A. Noginov, "Control of spontaneous emission in a volume of functionalized hyperbolic metamaterial," Appl. Phys. Lett., Vol. 99, 151115, 2011.
doi:10.1063/1.3631723 Google Scholar

37. Tumkur, T. U., L. Gu, J. K. Kitur, E. E. Narimanov, and M. A. Noginov, "Control of absorption with hyperbolic metamaterials," Appl. Phys. Lett., Vol. 100, 161103, 2012.
doi:10.1063/1.4703931 Google Scholar

38. Rho, J., Z. Ye, Y. Xiong, X. Yin, Z. Liu, H. Choi, G. Bartal, and X. Zhang, "Spherical hyperlens for two-dimensional sub-diffractional imaging at visible frequencies," Nature Commun., Vol. 1, 143, 2010.
doi:10.1038/ncomms1148 Google Scholar

Dr. Tatjana Gric