Unidirectional coupler optimization of surface plasmon polaritons based on the damped least-squares method

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

J. J. Ping, H. X. Ma, Y. W. Liu Unidirectional coupler optimization of surface plasmon polaritons based on the damped least-squares method (Оптимизация однонаправленного соединителя для поверхностных плазмон-поляритонов с использованием метода Левенберга-Марквардта) [на англ. яз.] // Оптический журнал. 2016. Т. 83. № 11. С. 58–67.

J. J. Ping, H. X. Ma, Y. W. Liu Unidirectional coupler optimization of surface plasmon polaritons based on the damped least-squares method (Оптимизация однонаправленного соединителя для поверхностных плазмон-поляритонов с использованием метода Левенберга-Марквардта) [in English] // Opticheskii Zhurnal. 2016. V. 83. № 11. P. 58–67.

For citation (Journal of Optical Technology):

J. J. Ping, H. X. Ma, and Y. W. Liu, "Unidirectional coupler optimization of surface plasmon polaritons based on the damped least-squares method," Journal of Optical Technology. 83(11), 692-698 (2016). https://doi.org/10.1364/JOT.83.000692

Abstract:

Controlling the launching efficiency and the directionality of surface plasmon polaritons is a major goal for the development of plasmonic devices. This study presents the use of the damped least-squares method to optimize the geometry parameters of a surface plasmon polariton unidirectional coupler. A damped least-squares algorithm has been constructed and the performance of a surface plasmon polariton unidirectional coupler has been obtained with COMSOL LiveLink for MATLAB. We have optimized a quasi-periodic surface plasmon polariton unidirectional grating coupler, which consists of five groups of sub-wavelength groove-doublets with an extinction ratio of nearly 71 dB. Combination of the COMSOL and the damped least-squares method in a MATLAB environment is a practicable method for the design of a surface plasmon polariton unidirectional coupler. Moreover, the general design principles behind this study can readily be extended to other numeric algorithms and other plasmonic devices.

Keywords:

surface plasmon polaritons, unidirectional coupler, finite element method, damped least-square method

Acknowledgements:

This work was supported by “the Fundamental Research Funds for the Central Universities” No. NZ2014106.

OCIS codes: 240.6680, 310.6628

References:

1. Raether H. Surface plasmons on smooth and rough surfaces and on gratings. Berlin: Springer, 1988. P. 4–39.
2. Barnes W.L., Dereux A., Ebbesen T.W. Surface plasmon subwavelength optics // Nature. 2003. V. 424. P. 824–830.
3. Luo X.G., Ishihara T. Sub-100-nm photolithography based on plasmon resonance // Japanese J. Appl. Phys. 2004. V. 43. P. 4017–4021.
4. Laux E., Genet C., Skauli T., Ebbesen T.W. Plasmonic photon sorters for spectral and polarimetric imaging // Nat. Photonics. 2008. № 2. P. 161–164.
5. Genet C., Ebbesen T.W. Light in tiny holes // Nature. 2007. V. 445. P. 39–46.
6. Bharadwaj P., Deutsch B., Novotny L. Optical antennas // Advances in Optics and Photonics. 2009. № 1. P. 438–483.
7. Afshinmanesh F., White J.S., Cai W., Brongersma M.L. Measurement of the polarization state of light using an integrated plasmonic polarimeter // Nanophotonics. 2012. № 1. P. 125–129.
8. Atwater H.A., Polman A. Plasmonics for improved photovoltaic devices // Nature Materials. 2010. № 9. P. 205–213.
9. Yin H.Z., Liu Y.M., Yu Z.Y., Shi Q., Gong H., Wu X., Song X. Nonlinear hybrid plasmonic slot waveguide for second-harmonic generation // Chinese Opt. Lett. 2013. № 11. P. 101901-1–101901-5.
10. Roy R.D., Chattopadhyay R., Bhadra S.K. Stratified composite-loaded plasmonic waveguide for sensing biofluids // Photonics Research. 2013. № 1. P. 164–170.
11. Kretschmann E., Raether H. Notizen: Radiative decay of non radiative surface plasmons excited by light // Zeitschrift für Naturforschung A. 1968. B. 23. S. 2135–2136.
12. Otto A. Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection // Zeitschrift für Physik. 1968. № 216. S. 398–410.
13. Kim H., Lee B. Unidirectional surface plasmon polariton excitation on single slit with oblique backside illumination // Plasmonics. 2009. № 4. P. 153–159.
14. Li X.W., Tan Q.F., Bai B.F., Jin G.F. Experimental demonstration of tunable directional excitation of surface plasmon polaritons with a subwavelength metallic double slit // Appl. Phys. Lett. 2011. № 98. P. 251109-1–251109-3.
15. Li G.Y., Zhang J.S. Ultra-broadband and efficient surface plasmon polariton launching through metallic nanoslits of subwavelength period // Scientific Reports. 2014. № 4. P. 5914-1–5914-7.
16. Rodríguez-Fortuño F.J., Marino G., Ginzburg P., O’Connor D., Martínez A., Wurtz G.A., Zayats A.V. Near-field interference for the unidirectional excitation of electromagnetic guided modes // Science. 2013. V. 340. P. 328–330.

17. Lee S.Y., Lee I.M., Park J., Oh S., Lee W., Kim K.Y., and Lee B. Role of magnetic induction currents in nanoslit excitation of surface plasmon polaritons // Phys. Rev. Lett. 2012. V. 108. P. 213907-1–213907-5.
18. Lin J., Mueller J.P.B., Wang Q., Yuan G.h., Antoniou N., Yuan X.C., Capasso F. Polarization-controlled tunable directional coupling of surface plasmon polaritons // Science. 2013. V. 340. P. 331–334.
19. Huang L.L., Chen X.Z., Bai B.F., Tan Q.F., Jin G.F., Zentgraf T., Zhang S. Helicity dependent directional surface plasmon polariton excitation using a metasurface with interfacial phase discontinuity // Light: Science & Applic. 2013. № 2. P. e70–e77.
20. Yang J., Zhou S.X., Hu C., Zhang W.W., Xiao X., Zhang J.S. Broadband spin-controlled surface plasmon polariton launching and radiation via L-shaped optical slot nanoantennas // Laser & Photonics Rev. 2014. № 8. P. 590–595.
21. Bonod N., Popov E., Li L.F., Chernov B. Unidirectional excitation of surface plasmons by slanted gratings // Opt. Exp. 2007. V. 15. P. 11427–11432.
22. Yang J., Xiao X., Hu C., Zhang W.W., Zhou S.X., Zhang J.S. Broadband surface plasmon polariton directional coupling via asymmetric optical slot nanoantenna pair // Nano Lett. 2014. V. 14. P. 704–709.
23. Gong Y.K., Liu X.M., Wang L.R., Zhang Y.N. Unidirectional manipulation of surface plasmon polariton by dualnanocavity in a T-shaped waveguide // Opt. Commun. 2011. V. 284. P. 795–798.
24. Liao H.M., Li Z., Chen J.J., Zhang X., Yue S., Gong Q.H. A submicron broadband surface – Plasmon-polariton unidirectional coupler // Scientific Reports. 2013. № 3. P. 1918-1–1918-7.
25. Baron A., Devaux E., Rodier J.C., Hugonin J.P., Rousseau E., Genet C., Ebbesen T.W., Lalanne P. Compact antenna for efficient and unidirectional launching and decoupling of surface plasmons // Nano Lett. 2011. V. 11. P. 4207–4212.
26. Huang X.P., Brongersma M.L. Compact aperiodic metallic groove arrays for unidirectional launching of surface plasmons // Nano Lett. 2013. V. 13. P. 5420–5424.
27. Johnson P.B., Christy R.W. Optical constants of the noble metals // Phys. Rev. B. 1972. V. 6. P. 4370–4379.
28. Yuan X.C. Method of modern optical design. Beijing: Beijing Institute of Technology Press, 1995. P. 35–44.
29. Goodberlet J.G., Kavak H. Patterning sub-50 nm features with near-field embedded-amplitude masks // Appl. Phys. Lett. 2002. V. 81. P. 1315–1317.
30. Vieu C., Carcenac F., Pepin A., Chen Y., Mejias M., Lebib A., Manin-Ferlazzo L., Couraud L., Launois H. Electron beam lithography: Resolution limits and applications // Appl. Surface Sci. 2000. V. 164. P. 111–117.
31. Menard L.D., Ramsey J.M. Fabrication of sub-5 nm nanochannels in insulating substrates using focused ion beam milling // Nano Lett. 2010. V. 11. P. 512–517.
32. McAlpine M.C., Friedman R.S., Lieber C.M. Nanoimprint lithography for hybrid plastic electronics // Nano Lett. 2003. V. 3. P. 443–445.
33. Srituravanich W., Fang N., Sun C., Luo Q., Zhang X. Plasmonic nanolithography // Nano Lett. 2004. V. 4. P.1085–1088.