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Analytical Determination of Plasmon Resonances in MIM Nanocavities

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Abstract

Optical interactions in many metallic nanostructures involve plasmon resonances in the basic elements of metal-insulator-metal (MIM) nanocavities. Though the resonances can be theoretically studied with numerical simulations, an analytical approach is highly needed for its advantage in physical analysis and target-oriented design of structures. But it is often obstructed by the difficulty in calculation of reflection coefficients of the surface plasmon (SP) waves at terminals of the MIM nanocavities. Here, we use the permittivity of real metals, instead of perfect electric conductors, to have a discussion on the study of this issue by R. Gordon [PRB, 73, 153405, 2006], to clarify the applicability of this method to calculate SP reflection coefficients. Further, based on the Fabry-Perot cavity model, plasmon resonances in metallic nanoslit and nanogroove cavities are studied and compared with results obtained from rigorous numerical simulations.

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References

  1. Maier SA (2007) Plasmonics: fundamentals and applications. Springer Science+Business Media LLC, New York, USA

  2. Oulton RF, Pile DFP, Liu Y, Zhang X (2007) Scattering of surface plasmon polaritons at abrupt surface interfaces: implications for nanoscale cavities. Phys Rev B 76(3):035408

  3. Mie G (1908) Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen. Ann Phys 25(3):377–445

    Article  CAS  Google Scholar 

  4. Porto JA, Garcia-Vidal FJ, Pendry JB (1999) Transmission resonances on metallic gratings with very narrow slits. Phys Rev Lett 83(14):2845–2848

    Article  CAS  Google Scholar 

  5. Sun Z, Zuo X (2011) Tunable absorption of light via localized plasmon resonances on a metal surface with interspaced ultra-thin metal gratings. Plasmonics 6(1):83–89

    Article  CAS  Google Scholar 

  6. Oulton RF, Sorger VJ, Zentgraf T, Ma RM, Gladden C, Dai L, Bartal G, Zhang X (2009) Plasmon lasers at deep subwavelength scale. Nature 461(7264):629–632

    Article  CAS  Google Scholar 

  7. Ikegami T (1972) Reflectivity of mode at facet and oscillation mode in double-hererostructure injection lasers. IEEE J Quantum Electron QE-8(6):470–476

    Article  Google Scholar 

  8. Pudensi MAA, Ferreira LG (1982) Method to calculate the reflection and transmission of guided waves. J Opt Soc Am 72(1):126–130

    Article  Google Scholar 

  9. Shen TP, Wallis RF, Maradudin AA, Stegeman GI (1987) Fresnel-like behavior of guided waves. J Opt Soc Am A 4(11):2120–2132

    Article  CAS  Google Scholar 

  10. Stegeman GI, Maradudin AA, Rahman TS (1981) Refraction of a surface polariton by an interface. Phys Rev B 23(6):2576–2585

    Article  Google Scholar 

  11. Wallis RF, Maradudin AA, Stegeman GI (1983) Surface polariton reflection and radiation at end faces. Appl Phys Lett 42(9):764–766

    Article  Google Scholar 

  12. Stegeman GI, Maradudin AA, Shen TP, Wallis RF (1984) Refraction of a surface polariton by a semi-infinite film on a metal. Phys Rev B 29(12):6530–6539

    Article  Google Scholar 

  13. Gordon R (2006) Vectorial method for calculating the Fresnel reflection of surface plasmon polaritons. Phys Rev B 74(15):153417

  14. Gordon R (2006) Light in a subwavelength slit in a metal: propagation and reflection. Phys Rev B 73(15):153405

  15. Economou EN (1969) Surface plasmons in thin films. Phys Rev 182(2):539–554

    Article  Google Scholar 

  16. Miyazaki HT, Kurokawa Y (2006) Controlled plasmon resonance in closed metal/insulator/metal nanocavities. Appl Phys Lett 89(21):211126

  17. Liu B, Sun Z (2012) Plasmon resonances in deep nanogrooves of reflective metal gratings. Photonics Nanostruct Fundam Appl 10(1):119–125

    Article  Google Scholar 

Download references

Funding

This study was funded by the NSFC (No. 61275063, 61205051), the National Key Scientific Program (No. 2012CB933503), Natural Science Foundation of Fujian Province of China (No. 2013J05097, 2014J01027), and the Fundamental Research Funds for the Central Universities (No. 20720140531, 20720150032).

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The authors declare that they have no competing interests.

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Correspondence to Zhijun Sun.

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Guo, L., Sun, Z. Analytical Determination of Plasmon Resonances in MIM Nanocavities. Plasmonics 10, 1625–1629 (2015). https://doi.org/10.1007/s11468-015-9985-3

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  • DOI: https://doi.org/10.1007/s11468-015-9985-3

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