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Conditions for Loss Compensation of Surface Plasmon Polaritons Propagation on a Metal/Gain Medium Boundary

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Abstract

One way to compensate for the surface plasmon polariton (SPP) propagation losses is to use a gain medium. However, simply ensuring high enough gain is not sufficient because it may violate the bounded character of the wave. Therefore, a detailed theoretical analysis is needed for the determination of the conditions for lossless or amplified SPP propagation. Here presented is an exact theoretical analysis of the SPP propagation in the case of an infinite metal/gain medium boundary. It is shown that the conditions for lossless/amplified SPP propagation can be conveniently examined and presented as a simply connected region in the complex plane of the gain medium dielectric function. Effective and minimum gain parameters are introduced, which facilitates the simultaneous analyses of different gain media/metals combinations. The practical application of these results is illustrated for several gain media/metal (silver, gold and aluminium) systems.

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References

  1. Homola J, Yee SS, Gauglitz G (1999) Surface plasmon resonance sensors: review. Sensors Actuator B Chem 54:3–15

    Article  Google Scholar 

  2. Liu L, Han ZH, He SL (2005) Novel surface plasmon waveguide for high integration. Opt Express 13:6645–6650

    Article  Google Scholar 

  3. Kumar P, Tripathi VK, Liu CS (2008) A surface plasmon laser. J Appl Phys 104:033306

    Article  Google Scholar 

  4. Sarid D (1981) Long-range surface-plasma waves on very thin metal films. Phys Rev Lett 47:1927

    Article  CAS  Google Scholar 

  5. Gather MC, Meerholz K, Danz N, Leosson K (2010) Net optical gain in a plasmonic waveguide embedded in a fluorescent polymer. Nat Photon 4:457–461

    Article  CAS  Google Scholar 

  6. Seidel J, Grafstrom S, Eng L (2005) Stimulated emission of surface plasmons at the interface between a silver film and an optically pumped dye solution. Phys Rev Lett 94:177401

    Article  CAS  Google Scholar 

  7. Noginov MA, Podolskiy VA, Zhu G, Mayy M, Bahoura M, Adegoke JA, Ritzo BA, Reynolds K (2008) Compensation of loss in propagating surface plasmon polariton by gain in adjacent dielectric medium. Opt Express 16:1385–1392

    Article  CAS  Google Scholar 

  8. Alam MZ, Meier J, Aitchison JS, Mojahedi M (2007) Gain assisted surface plasmon polariton in quantum wells structures. Opt Express 15:176–182

    Article  Google Scholar 

  9. Nezhad MP, Tetz K, Fainman Y (2004) Gain assisted propagation of surface plasmon polaritons on planar metallic waveguides. Opt Express 12:4072–4079

    Article  Google Scholar 

  10. Landau LD, Lifshitz EM (1982) Electrodynamics of continuous media. Butterworth-Heinemann, Oxford

    Google Scholar 

  11. Dong B, Lei X, Horing N (2009) Giant modal gain, amplified surface plasmon-polariton propagation, and slowing down of energy velocity in a metal-semiconductor-metal structure. Phys Rev B 80:153305

    Article  Google Scholar 

  12. Raether H (1988) Surface plasmons on smooth and rough surfaces and on gratings. Springer, New York

    Google Scholar 

  13. Rautian SG (2008) Reflection and refraction at the boundary of a medium with negative group velocity. Physics-Uspekhi 51:981–988

    Article  Google Scholar 

  14. Johnson PB, Christy RW (1972) Optical constants of the noble metals. Phys Rev B 6:4370

    Article  CAS  Google Scholar 

  15. Ahlfors LV (1966) Complex analysis, 2nd edn. McGraw-Hill, New York, p 317

    Google Scholar 

  16. Palik E (1998) Handbook of optical constants of solids. Academic, London

    Google Scholar 

  17. Bass M (1995) Handbook of optics, 2nd edn. McGraw-Hill, New York

    Google Scholar 

  18. Ambati M, Nam SH, Ulin-Avila E, Genov DA, Bartal G, Zhang X (2008) Observation of stimulated emission of surface plasmon polaritons. Nano Lett 8:3998–4001

    Article  CAS  Google Scholar 

  19. Silfvast WT (2004) Laser fundamentals, 2nd edn. Cambridge University Press, Cambridge

    Google Scholar 

  20. Ramvall P, Aoyagi Y, Kuramata A, Hacke P, Domen K, Horino K (2000) Doping-dependent optical gain in GaN. Appl Phys Lett 76:2994–2996

    Article  CAS  Google Scholar 

  21. Zory P (1993) Quantum well lasers. Academic, San Diego

    Google Scholar 

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Acknowledgements

This work was supported by NSB of Bulgaria, grant nos. DO 02-56/2008 and DO 02-167/2008.

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Authors and Affiliations

  1. Department of Solid State Physics, Faculty of Physics, Sofia University, Sofia, 1164, Bulgaria

    Stoyan C. Russev, Gichka G. Tsutsumanova & Atanas N. Tzonev

  2. Department of Solid State Physics and Microelectronics, Faculty of Physics, Sofia University, 5 J. Bourchier, 1164, Sofia, Bulgaria

    Stoyan C. Russev

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  1. Stoyan C. Russev
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  2. Gichka G. Tsutsumanova
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  3. Atanas N. Tzonev
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Correspondence to Stoyan C. Russev.

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Russev, S.C., Tsutsumanova, G.G. & Tzonev, A.N. Conditions for Loss Compensation of Surface Plasmon Polaritons Propagation on a Metal/Gain Medium Boundary. Plasmonics 7, 151–157 (2012). https://doi.org/10.1007/s11468-011-9288-2

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  • DOI: https://doi.org/10.1007/s11468-011-9288-2

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