Abstract
We propose an inverse-rib plasmonic waveguide which is more realistic and easy-to-fabricate to provide a more realistic image of previously proposed waveguides and simplified fabrication processes. It is shown that despite major changes in the structure, this waveguide provides optical properties comparable to previously proposed ones in \(\uplambda =1.55\,\upmu \hbox {m}\) telecommunication wavelength. Characteristic modal area of the designed waveguide reaches below \(\uplambda ^2/3600\) with propagation lengths on the order of several tens of microns. It also offers high Purcell factor ranging from 75 to 145 with figure of merits around \(9\times 10^3\) to \(1.7\times 10^3\). Also studied is the compensation of gain in InGaAsP materials, for which critical gains from 150 to 700 \(\hbox {cm}^{-1}\) are calculated for loss-less waveguiding.
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Alam, M.Z., Meier, J., Aitchison, J.S., Mojahedi, M.: Propagation characteristics of hybrid modes supported by metal-low-high index waveguides and bends. Opt. Express 18(12), 12971–12979 (2010)
Alpert, C.J., Devgan, A., Kashyap, C.V.: RC delay metrics for performance optimization. Comput Aided Des. Integr. Circuits Syst. IEEE Trans. 20(5), 571–582 (2001)
Atwater, H.A.: The promise of plasmonics. Sci. Am. 296(4), 56–62 (2007)
Benisty, H., Besbes, M.: Plasmonic inverse rib waveguiding for tight confinement and smooth interface definition. J. Appl. Phys. 108(6), 063108:1–063108:6 (2010)
Benisty, H., Besbes, M.: Confinement and optical properties of the plasmonic inverse-rib waveguide. JOSA B 29(4), 818–826 (2012)
Berini, P.: Figures of merit for surface plasmon waveguides. Opt. Express 14(26), 13030–13042 (2006)
Bian, Y., Gong, Q.: Low-loss light transport at the subwavelength scale in silicon nano-slot based symmetric hybrid plasmonic waveguiding schemes. Opt. Express 21(20), 23907–23920 (2013)
Bian, Y., Gong, Q.: Deep-subwavelength light routing in nanowire-loaded surface plasmon polariton waveguides: an alternative to the hybrid guiding scheme. J. Phys. D: Appl. Phys. 46(44), 445105:1–445105:13 (2013)
Bian, Yusheng, Zheng, Zheng, Zhao, Xin, Xiao, Jing, Liu, Haitao, Liu, Jiansheng, Zhou, Tao, Zhu, Jinsong: Gain-assisted light guiding at the subwavelength scale in a hybrid dielectric-loaded surface plasmon polariton waveguide based on a metal nanorod. J. Phys. D: Appl. Phys. 46(33), 335102:1–335102:7 (2013)
Bian, Y., Gong, Q.: Metallic nanowire-loaded plasmonic slot waveguide for highly confined light transport at telecom wavelength. IEEE J. Quantum Electron. 49(10), 870–876 (2013)
Bian, Y., Zheng, Z., Zhao, X., Yang, P., Liu, L., Zhu, J., Zhou, T.: Gain enhancement in a V-shaped plasmonic slot waveguide for efficient loss compensation at the subwavelength scale. Opt. Commun. 294, 414–419 (2013)
Boardman, A.D., Aers, G.C., Teshima, R.: Retarded edge modes of a parabolic wedge. Phys. Rev. B 24(10), 5703–5712 (1981)
Boltasseva, A., Volkov, V.S., Nielsen, R.B., Moreno, E., Rodrigo, S.G., Bozhevolnyi, S.I.: Triangular metal wedges for subwavelength plasmon-polariton guiding at telecom wavelengths. Opt. Express 16(8), 5252–5260 (2008)
Bozhevolnyi, S.I., Volkov, V.S., Devaux, E., Ebbesen, T.W.: Channel plasmon-polariton guiding by subwavelength metal grooves. Phys. Rev. Lett. 95(4), 046802:1–046802:4 (2005)
Bozhevolnyi, S.I., Volkov, V.S., Devaux, E., Laluet, J.Y., Ebbesen, T.W.: Channel plasmon subwavelength waveguide components including interferometers and ring resonators. Nature 440(7083), 508–511 (2006)
Bozhevolnyi, S.I.: Effective-index modeling of channel plasmon polaritons. Opt. Express 14(20), 9467–9476 (2006)
Buckley, R., Berini, P.: Figures of merit for 2D surface plasmon waveguides and application to metal stripes. Opt. Express 15(19), 12174–12182 (2007)
Burke, J.J., Stegeman, G.I., Tamir, T.: Surface-polariton-like waves guided by thin, lossy metal films. Phys. Rev. B 33(8), 5186–5201 (1986)
Chang, S.H., Chiu, T.C., Tai, C.Y.: Propagation characteristics of the supermode based on two coupled semi-infinite rib plasmonic waveguides. Opt. Express 15(4), 1755–1761 (2007)
Chen, L., Zhang, T., Li, X., Huang, W.: Novel hybrid plasmonic waveguide consisting of two identical dielectric nanowires symmetrically placed on each side of a thin metal film. Opt. Express 20(18), 20535–20544 (2012)
Choi, S.E., Kim, J.T.: Vertical coupling characteristics between hybrid plasmonic slot waveguide and Si waveguide. Opt. Commun. 285(18), 3735–3739 (2012)
Dai, D., He, S.: A silicon-based hybrid plasmonic waveguide with a metal cap for a nano-scale light confinement. Opt. Express 17(19), 16646–16653 (2009)
Dai, D., He, S.: Low-loss hybrid plasmonic waveguide with double low-index nano-slots. Opt. Express 18(17), 17958–17966 (2010)
Dai, D., Shi, Y., He, S., Wosinski, L., Thylen, L.: Gain enhancement in a hybrid plasmonic nano-waveguide with a low-index or high-index gain medium. Opt. Express 19(14), 12925–12936 (2011)
De Leon, I., Berini, P.: Amplification of long-range surface plasmons by a dipolar gain medium. Nat. Photonics 4(6), 382–387 (2010)
Dionne, J.A., Sweatlock, L.A., Atwater, H.A., Polman, A.: Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization. Phys. Rev. B 73(3), 035407:1–035407:9 (2006)
Dobrzynski, L., Maradudin, A.A.: Electrostatic edge modes in a dielectric wedge. Phys. Rev. B 6(10), 3810–3815 (1972)
Gao, L., Tang, L., Hu, F., Guo, R., Wang, X., Zhou, Z.: Active metal strip hybrid plasmonic waveguide with low critical material gain. Opt. Express 20(10), 11487–11495 (2012)
García-Blanco, S.M., Pollnau, M., Bozhevolnyi, S.I.: Loss compensation in long-range dielectric-loaded surface plasmon-polariton waveguides. Opt. Express 19(25), 25298–25311 (2011)
Gather, M.C., Meerholz, K., Danz, N., Leosson, K.: Net optical gain in a plasmonic waveguide embedded in a fluorescent polymer. Nat. Photonics 4(7), 457–461 (2010)
Gramotnev, D.K., Bozhevolnyi, S.I.: Plasmonics beyond the diffraction limit. Nat. Photonics 4(2), 83–91 (2010)
Grandidier, Jonathan, Francs, Gérard Colas Des, Massenot, Sébastien, Bouhelier, Alexandre, Markey, Laurent, Weeber, Jean-Claude, Finot, Christophe, Dereux, Alain: Gain-assisted propagation in a plasmonic waveguide at telecom wavelength. Nano Letters 9(8), 2935–2939 (2009)
Holmgaard, T., Bozhevolnyi, S.I.: Theoretical analysis of dielectric-loaded surface plasmon-polariton waveguides. Phys. Rev. B 75(24), 245405:1–245405:12 (2007)
Huang, C.C.: Ultra-long-range symmetric plasmonic waveguide for high-density and compact photonic devices. Opt. Express 21(24), 29544–29557 (2013)
Kim, J.T., Ju, J.J., Park, S., Kim, M.S., Park, S.K., Shin, S.Y.: Hybrid plasmonic waveguide for low-loss lightwave guiding. Opt. Express 18(3), 2808–2813 (2010)
Kou, Y., Ye, F., Chen, X.: Low-loss hybrid plasmonic waveguide for compact and high-efficient photonic integration. Opt. Express 19(12), 11746–11752 (2011)
Krasavin, A.V., Zayats, A.V.: Numerical analysis of long-range surface plasmon polariton modes in nanoscale plasmonic waveguides. Opt. Lett. 35(13), 2118–2120 (2010)
Lin, C.I., Gaylord, T.K.: Multimode metal-insulator-metal waveguides: analysis and experimental characterization. Phys. Rev. B 85(8), 085405:1–085405:9 (2012)
Maier, Stefan A.: Plasmonics: Fundamentals and Applications. Springer, Berlin (2007)
Mu, J., Chen, L., Li, X., Huang, W.P., Kimerling, L.C., Michel, J.: Hybrid nano ridge plasmonic polaritons waveguides. Appl. Phys. Lett. 103(13), 131107:1–131107:4 (2013)
Novikov, I.V., Maradudin, A.A.: Channel polaritons. Phys. Rev. B 66(3), 035403:1–035403:13 (2002)
Okamoto, K.: Fundamentals of Optical Waveguides; Access Online via Elsevier (2010)
Oulton, R.F., Sorger, V.J., Genov, D.A., Pile, D.F.P., Zhang, X.: A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation. Nat. Photonics 2(8), 496–500 (2008)
Oulton, R.F., Bartal, G., Pile, D.F.P., Zhang, X.: Confinement and propagation characteristics of subwavelength plasmonic modes. New J. Phys. 10(10), 105018:1–105018:14 (2008)
Ozbay, E.: Plasmonics: merging photonics and electronics at nanoscale dimensions. Science 311(5758), 189–193 (2006)
Palik, E.D. (ed) Handbook of Optical Constants of Solids; Vol. 3, Access Online via Elsevier (1998)
Pile, D.F., Ogawa, T., Gramotnev, D.K., Okamoto, T., Haraguchi, M., Fukui, M., Matsuo, S.: Theoretical and experimental investigation of strongly localized plasmons on triangular metal wedges for subwavelength waveguiding. Appl. Phys. Lett. 87(6), 061106:1–061106:3 (2005)
Prade, B., Vinet, J.Y., Mysyrowicz, A.: Guided optical waves in planar heterostructures with negative dielectric constant. Phys. Rev. B 44(24), 13556–13572 (1991)
Raether, Heinz: Surface Plasmons on Smooth Surfaces. Springer, Berlin Heidelberg (1988)
Rao, R., Tang, T.: Study of an active hybrid gap surface plasmon polariton waveguide with nanoscale confinement size and low compensation gain. J. Phys. D: Appl. Phys. 45(24), 245101:1–245101:12 (2012)
Rycenga, Matthew, Cobley, Claire M., Zeng, Jie, Li, Weiyang, Moran, Christine H., Zhang, Qiang, Qin, Dong, Xia, Younan: Controlling the synthesis and assembly of silver nanostructures for plasmonic applications. Chem. Rev. 111(6), 3669–3712 (2011)
Sharma, T., Kumar, M.: Hollow hybrid plasmonic waveguide for nanoscale optical confinement with long-range propagation. Appl. Opt. 53(9), 1954–1957 (2014)
Srituravanich, W., Fang, N., Sun, C., Luo, Q., Zhang, X.: Plasmonic nanolithography. Nano Letters 4(6), 1085–1088 (2004)
Srivastava, N., Banerjee, K.: Interconnect challenges for nanoscale electronic circuits. Jom 56(10), 30–31 (2004)
Tsukerman, Igor: Computational Methods for Nanoscale Applications: Particles, Plasmons and Waves. Springer, Berlin (2008)
Veronis, G., Fan, S.: Guided subwavelength plasmonic mode supported by a slot in a thin metal film. Opt. Lett. 30(24), 3359–3361 (2005)
Zhang, J., Cai, L., Bai, W., Xu, Y., Song, G.: Hybrid plasmonic waveguide with gain medium for lossless propagation with nanoscale confinement. Opt. Lett. 36(12), 2312–2314 (2011)
Zia, R., Selker, M.D., Catrysse, P.B., Brongersma, M.L.: Geometries and materials for subwavelength surface plasmon modes. JOSA A 21(12), 2442–2446 (2004)
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Olyaeefar, B., Khoshsima, H. & Khorram, S. Inverse-rib hybrid plasmonic waveguide for low-loss deep sub-wavelength surface plasmon polariton propagation. Opt Quant Electron 47, 1791–1800 (2015). https://doi.org/10.1007/s11082-014-0036-7
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DOI: https://doi.org/10.1007/s11082-014-0036-7