Vol. 17

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A Fundamental Limit on Subwavelength Guided Waves

By Amir Arbabi, E. Arbabi, and Safieddin Safavi-Naeini
Progress In Electromagnetics Research M, Vol. 17, 253-265, 2011


A fundamental relation between the cross sectional confinement of an arbitrary mode of a general waveguide and its propagation length is found. It is shown that due to material loss of the waveguide, the propagation length shrinks as the confinement of the mode increases. Normalized second central moment of magnetic energy density in the cross section plane of the waveguide is used as a measure of mode size and it is found that for a given mode size, there is a limit for the waveguide propagation length. This limit depends solely on permittivity of the waveguide material and its surrounding medium. As an application, this result provides a lower bound for propagation loss in subwavelength optical confinement in plasmonic waveguides which are of special interest for their nano-meter mode dimensions.


Amir Arbabi, E. Arbabi, and Safieddin Safavi-Naeini, "A Fundamental Limit on Subwavelength Guided Waves," Progress In Electromagnetics Research M, Vol. 17, 253-265, 2011.


    1. Ozbay, E., "Plasmonics: Merging photonics and electronics at nanoscale dimensions," Science, Vol. 311, No. 5758, 189-193, 2006.

    2. Barnes , W. L. , A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature, Vol. 424, No. 6950, 824-830, London, 2003.

    3. Bozhevolnyi, S. I. , V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature, Vol. 440, No. 7083, 508-511, London, 2006.

    4. Zia, R., M. D. Selker, P. B. Catrysse, and M. L. Brongersma, "Geometries and materials for subwavelength surface plasmon modes," J. Opt. Soc. Am. A, Vol. 21, No. 12, 2442-2446, 2004.

    5. Dionne, J. A., L. A. Sweatlock, H. A. Atwater, and A. Polman, "Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B, Vol. 73, No. 3, 035407, 2006.

    6. Baida , F. I. , A. Belkhir, D. V. Labeke, and O. Lamrous, "Subwavelength metallic coaxial waveguides in the optical range: Role of the plasmonic modes," Phys. Rev. B, Vol. 74, No. 20, 205419, 2006.

    7. Gramotnev, D. K. and D. F. P. Pile, "Single-mode subwavelength waveguide with channel plasmon-polaritons in triangular grooves on a metal surface," App. Phys. Lett., Vol. 85, No. 26, 6323-6325, 2004.

    8. Oulton, R. F. , V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, "A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation," Nat. Photon., Vol. 2, No. 8, 496-500, 2008.

    9. Rybczynski, J., K. Kempa, A. Herczynski, Y. Wang, M. J. Naughton, and Z. F. Ren, "Subwavelength waveguide for visible light," App. Phys. Lett., Vol. 90, No. 2, 21104, 2007.

    10. Pile, D. F. P. and D. K. Gramotnev, "Plasmonic subwavelength waveguides: Next to zero losses at sharp bends," Optics Lett., Vol. 30, No. 10, 1186-1188, 2005.

    11. Oulton, R. F. , V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, "Plasmon lasers at deep subwavelength scale," Nature, Vol. 461, No. 8364, 629-632, London, 2009.

    12. Veronis, G. and S. Fan, "Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides," Appl. Phys. Lett., Vol. 85, No. 13, 131102, 2005.

    13. Hosseini, A. and Y. Massoud, "Nanoscale surface plasmon based resonator using rectangular geometry," Appl. Phys. Lett., Vol. 90, No. 18, 181102, 2007.

    14. Boltasseva, A., T. Nikolajsen , K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, "Integrated optical components utilizing long-range surface plasmon polaritons," J. Lightw. Technol. , Vol. 1, No. 1, 413-422, 2005.

    15. Pile, D. F. P., T. Ogawa, D. K. Gramotnev, and Y. Matsuzaki, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," App. Phys. Lett., Vol. 87, No. 26, 2005.

    16. Chen, L., J. Shakya, and M. Lipson, "Subwavelength confinement in an integrated metal slot waveguide on silicon," Optics Lett., Vol. 31, No. 14, 2133-2135, 2006.

    17. Palik, E. D., Handbook of Optical Constants of Solids, Vol. I, Academic Press, 1998.