Abstract
We study the nonlinear stationary waves propagating in metal slot waveguides with a Kerr-type dielectric core. We develop two independent semianalytical models to describe these waves in such waveguides. Using these models, we compute the dispersion curves for about ten first modes of a nonlinear slot waveguide. For symmetric wave- guides, we find symmetric, antisymmetric, and asymmetric higher order modes which are grouped in two families. In addition, we study the influence of the slot width on the first symmetric and asymmetric modes. We also show that the dispersion curve of the first asymmetric mode is invariant with respect to the slot width for high propagation constant values and we provide analytical approximations of this curve. Using realistic values for the optogeometric parameters of the structure, we are able to obtain the bifurcation at a realistic power.
Similar content being viewed by others
References
Kauranen MA, Zayats YV (2012) Nat Photonics 6:737
Ariyasu J, Seaton CT, Stegeman GI, Maradudin AA, Wallis RF (1985) J Appl Phys 58:2460
Mihalache D, Bertolotti M, Sibilia C (1989) In: Wolf E (ed) Progress in optics, vol XXVII. Elsevier, Amsterdam, pp 229–313
Feigenbaum E, Orenstein M (2007) Opt Lett 32:674
Walasik W, Nazabal V, Chauvet M, Kartashov Y, Renversez G (2012) Opt Lett 37:4579
Salgueiro JR, Kivshar YS (2010) Appl Phys Lett 97:081106
Renger J, Quidant R, van Hulst N, Palomba S, Novotny L (2009) Phys Rev Lett 103:266802
Han Z, Elezzabi AY, Van V (2010) Opt Lett 35:502
Emboras A, Briggs RM, Najar A, Nambiar S, Delacour C, Grosse P, Augendre E, Fedeli JM, de Salvo B, Atwater HA, Espiau de Lamaestre R (2012) Appl Phys Lett 101:251117
Davoyan AR, Shadrivov IV, Kivshar YS (2008) Opt Express 16:21209
Rukhlenko ID, Pannipipitiya A, Premaratne M, Agrawal G (2011) Phys Rev B 84:113409
Boardman AD, Egan P (1986) IEEE J Quant Electron 22:319
Holland WR (1986) J Opt Soc Am B 3:1529
Kivshar Y, Sukhorukov AA (2001) Stability of spatial optical solitons. Springer, Berlin, pp 211–245
Davoyan AR, Shadrivov IV, Kivshar YS (2011) Opt Lett 36:930
Walasik W, Renversez G, Kartashov YV (2014) Phys Rev A 89:023816
Chen AA, Maradudin W (1988) J Opt Soc Am B 5:529
Fedyanin VK, Mihalache D (1982) Z Phys B 47:167
Abramowitz M, Stegun IA (1964) Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover, New York
Mihalache D, Stegeman GI, Seaton CT, Wright EM, Zanoni R, Boardman AD, Twardowski T (1987) Opt Lett 12:187
Yin H, Xu C, Hui PM (2009) Appl Phys Lett 94:221102
Matres J, Ballesteros GC, P Gautier, Fédéli J-M, Martí J, Oton CJ (2012) Opt Express 21:3932
Acknowledgments
This work was supported by the European Commission through the Erasmus Mundus Joint Doctorate Programme Europhotonics (Grant No. 159224-1-2009-1-FR-ERA MUNDUS-EMJD). The authors thank Y.V. Kartashov for helpful comments on this work. G.R. thanks J.-M. Fédéli for fruitful discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Walasik, W., Rodriguez, A. & Renversez, G. Symmetric Plasmonic Slot Waveguides with a Nonlinear Dielectric Core: Bifurcations, Size Effects, and Higher Order Modes. Plasmonics 10, 33–38 (2015). https://doi.org/10.1007/s11468-014-9773-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11468-014-9773-5