Abstract
The finite element and the beam propagation method, two widely used methods in photonics, are utilized for the analysis of plasmonic components based on the dielectric-loaded plasmonic waveguide. Two components are chosen as examples and are subsequently numerically investigated by employing the aforementioned methods, in order to demonstrate their applicability in plasmonics. Specifically, a microring resonator add-drop filter and a Mach–Zehnder interferometric switch are analyzed by means of the finite element and the beam propagation method, respectively. The formulation adopted is clearly presented in both cases and the case-dependent implementation details are thoroughly discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chen J., Li Z., Fan Z., Yang F.: Finite element beam propagation method for analysis of plasmonic waveguide. Chin. Opt. Lett. 6(8), 572–574 (2008)
Deng H., Yevick D.: The nonunitarity of finite-element beam propagation algorithms. IEEE Photon. Technol. Lett. 17(7), 1429–1431 (2005)
Ebbesen T.W., Genet C., Bozhevolnyi S.I.: Surface-plasmon circuitry. Phys. Today 61, 44–50 (2008)
Gosciniak J., Bozhevolnyi S.I., Andersen T.B., Volkov V.S., Kjelstrup-Hansen J., Markey L., Dereux A.: Thermo-optic control of dielectric-loaded plasmonic waveguide components. Opt. Express 18(2), 1207–1216 (2010)
Graglia R.D., Wilton D.R., Peterson A.F., Gheorma I.-L.: Higher order interpolatory vector bases on prism elements. IEEE Trans. Antennas Propag. 46(3), 442–450 (1998)
Gramotnev D.K., Bozhevolnyi S.I.: Plasmonics beyond the diffraction limit. Nat. Photonics 4(2), 83–91 (2010)
Grandidier J., Colas des Francs G., Markey L., Bouhelier A., Massenot S., Weeber J.-C., Dereux A.: Dielectric-loaded surface plasmon polariton waveguides on a finite-width metal strip. Appl. Phys. Lett. 96(6), 063105 (2010)
Hadley G.R.: Multistep method for wide-angle beam propagation. Opt. Lett. 17(24), 1743–1745 (1992a)
Hadley G.R.: Wide-angle beam propagation using Padé approximant operators. Opt. Lett. 17(20), 1426–1428 (1992b)
Hoekstra H.J.W.M.: On beam propagation methods for modelling in integrated optics. Opt. Quant. Electron. 29(2), 157–171 (1997)
Holmgaard T., Bozhevolnyi S.I.: Theoretical analysis of dielectric-loaded surface plasmon-polariton waveguides. Phys. Rev. B 75, 245405 (2007)
Holmgaard T., Chen Z., Bozhevolnyi S.I., Markey L., Dereux A.: Dielectric-loaded plasmonic waveguide-ring resonators. Opt. Express 17(4), 2968–2975 (2009)
Holmgaard T., Chen Z., Bozhevolnyi S.I., Markey L., Dereux A., Krasavin A.V., Zayats A.V.: Wavelength selection by dielectric-loaded plasmonic components. Appl. Phys. Lett. 94, 051111 (2009)
Jin J.: The Finite Element Method in Electromagnetics, 2nd edn. Wiley, New York (2002)
Karatzidis D.I., Yioultsis T.V.: Efficient analysis of planar microwave circuits with mixed-order prism vector finite macroelements. Int. J. Numer. Model 21(6), 475–492 (2008)
Koshiba M., Tsuji Y.: Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problems. J. Lightw. Technol. 18(5), 737–743 (2000)
Krasavin A.V., Zayats A.V.: Three-dimensional numerical modeling of photonic integration with dielectric-loaded SPP waveguides. Phys. Rev. B 78, 045425 (2008)
Kriezis E.E., Papagiannakis A.G.: A three-dimensional full vectorial beam propagation method for z-dependent structures. IEEE J. Quant. Electron. 33(5), 883–890 (1997)
Palik, E.D. (eds): Handbook of Optical Constants of Solids, 1st edn. Academic Press, New York (1985)
Raether H.: Surface Plasmons on Smooth and Rough Surfaces and on Gratings. Springer, Berlin (1988)
Saitoh K., Koshiba M.: Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides. J. Lightw. Technol. 19(3), 405–413 (2001)
Schulz D., Glingener C., Bludszuweit M., Voges E.: Mixed finite element beam propagation method. J. Lightw. Technol. 16(7), 1336–1341 (1998)
Selleri S., Vincetti L., Cucinotta A., Zoboli M.: Complex FEM modal solver of optical waveguides with pml boundary conditions. Opt. Quant. Electron. 33, 359–371 (2001)
Shibayama J., Yamazaki T., Yamauchi J., Nakano H.: Eigenmode analysis of a light-guiding metal line loaded on a dielectric substrate using the imaginary-distance beam-propagation method. J. Lightw. Technol. 23(3), 1533–1539 (2005)
Teixeira F.L., Chew W.C.: General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media. IEEE Microw. Guided Wave Lett. 8(6), 223–225 (1998)
Tsilipakos O., Kriezis E.E.: Microdisk resonator filters made of dielectric-loaded plasmonic waveguides. Opt. Commun. 283(15), 3095–3098 (2010)
Tsilipakos O., Yioultsis T.V., Kriezis E.E.: Theoretical analysis of thermally tunable microring resonator filters made of dielectric-loaded plasmonic waveguides. J. Appl. Phys. 106(9), 093109 (2009)
Wu M., Han Z., Van V.: Conductor-gap-silicon plasmonic waveguides and passive components at subwavelength scale. Opt. Express 18(11), 11,728–11,736 (2010)
Yu Z., Veronis G., Fan S., Brongersma M.L.: Gain-induced switching in metal-dielectric-metal plasmonic waveguides. Appl. Phys. Lett. 92(4), 041117 (2008)
Ziogos G.D., Kriezis E.E.: Modeling light propagation in liquid crystal devices with a 3-D full-vector finite-element beam propagation method. Opt. Quant. Electron. 40(10), 733–748 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tsilipakos, O., Pitilakis, A., Tasolamprou, A.C. et al. Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry. Opt Quant Electron 42, 541–555 (2011). https://doi.org/10.1007/s11082-011-9440-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11082-011-9440-4