Numerical Investigation of Tunable Band-pass\band-stop Plasmonic Filters with Hollow-core Circular Ring Resonator

  • cc icon
  • ABSTRACT

    In this paper, we numerically study both band-pass and band-stop plasmonic filters based on Metal-Insulator-Metal (MIM) waveguides and circular ring resonators. The band-pass filter consists of two MIM waveguides coupled to each other by a circular ring resonator. The band-stop filter is made up of an MIM waveguide coupled laterally to a circular ring resonator. The propagating modes of Surface Plasmon Polaritons (SPPs) are studied in these structures. By substituting a portion of the ring core with air, while the outer dimensions of the ring resonator are kept constant, we illustrate the possibility of red-shift in resonant wavelengths in order to tune the resonance modes of the proposed filters. This feature is useful for integrated circuits in which we have limitations on the outer dimensions of the filter structure and it is not possible to enlarge the dimension of the ring resonator to reach to longer resonant wavelengths.The results are obtained by a 2D finite-difference time-domain (FDTD) method. The introduced structures have potential applications in plasmonic integrated circuits and can be simply fabricated.


  • KEYWORD

    Plasmonics , MIM waveguide , Band-pass filter , Band-stop filter , Circular ring resonator , (240.6680) Surface Plasmons , (140.4780) Optical resonators , (130.7408) Wavelength filtering devices , (250.5403) Plasmonics , (250.5300) Photonic integrated circuits

  • 1. Bozhevolnyi S. I 2008 "Plasmonic nanoguides and circuits” in Plasmonics and Metamaterials google
  • 2. Ozbay E 2006 Plasmonics: merging photonics and electronics at nanoscale dimensions [Science] Vol.311 P.189-193 google doi
  • 3. Jung J 2010 Optimal design of dielectric-loaded surface plasmon polariton waveguide with genetic algorithm [J. Opt. Soc. Korea] Vol.14 P.277-281 google doi
  • 4. Byun K. M 2010 Development of nanostructured plasmonic substrates for enhanced optical biosensing [J. Opt. Soc.Korea] Vol.14 P.65-76 google doi
  • 5. Kim S, Byun Y. T, Kim D.-G, Dagli N, Chung Y 2010 Widely tunable coupled-ring reflector laser diode consisting of square ring resonators [J. Opt. Soc. Korea] Vol.14 P.38-41 google doi
  • 6. Yoon J, Lee G, Song S. H, Oh C.-H, Kim P.-S 2002 Photonic band gaps for surface plasmon modes in dielectric gratings on a flat metal surface [J. Opt. Soc. Korea] Vol.6 P.76-82 google doi
  • 7. Fu Z, Gan Q, Gao K, Pan Z, Bartoli F. J 2008 Numerical investigation of a bidirectional wave coupler based on plasmonic Bragg gratings in the near infrared domain [J. Lightwave Technol.] Vol.26 P.3699-3703 google doi
  • 8. Gramotev D. K, Pile D. F. P 2004 Single-mode sub-wavelength waveguide with channel plasmon-polaritons in triangular [Appl. Phys. Lett.] Vol.85 P.6323-6325 google doi
  • 9. Verhagen E, Dionne J. A, Kuipers L, Atwater H. A, Polman A 2008 Near-field visualization of strongly confined surface plasmon polaritons in metal-insulator-metal waveguides [Nano Lett.] Vol.8 P.2925-2929 google doi
  • 10. Takahara J, Yamagishi S, Taki H, Morimoto A, Kobayashi T 1997 Guiding of a one-dimensional optical beam with nanometer diameter [Opt. Lett.] Vol.22 P.475-477 google doi
  • 11. Leosson K, Nikolajsen T, Boltasseva A, Bozhevolnyi S. I 2006 Long-range surface plasmon polariton nanowire waveguides for device applications [Opt. Express] Vol.14 P.314-319 google doi
  • 12. Maier S. A, Kik P. G, Atwater H. A, Meltzer S, Harel E, Koel B. E, Requicha A. G 2003 Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides [Nature] Vol.2 P.229-232 google doi
  • 13. Quinten M, Leitner A, Krenn J. R, Aussenegg F. R 1998 Electromagnetic energy transport via linear chains of silver nanoparticles [Opt. Lett.] Vol.23 P.1331-1333 google doi
  • 14. Maier S. A, Kik P. G, Atwater H. A 2003 Optical pulse propagation in metal nanoparticle chain waveguides [Phys. Rev. B] Vol.67 P.205402-1-205402-5 google doi
  • 15. Pile D. F. P, Gramotev D. K 2004 Channel plasmon-polariton in a triangular groove on a metal surface [Opt. Lett.] Vol.29 P.1069-1071 google doi
  • 16. Bozhevolnyi S. I, Volkov V. S, Devaux E, Ebbesen T. W 2005 Channel plasmon-polariton guiding by subwavelength metal grooves [Phys. Rev. Lett.] Vol.95 P.046802-1-046802-4 google doi
  • 17. Matsuzaki Y, Okamoto T, Haraguchi M, Fukui M, Nakagaki M 2008 Characteristics of gap plasmon waveguidewith stub structures [Opt. Express] Vol.16 P.16314-16325 google doi
  • 18. Xiao S. S, Liu L, Qiu M 2006 Resonator channel drop filters in a plasmon-polaritons metal [Opt. Express] Vol.14 P.2932-2937 google doi
  • 19. Zhang Q, Huang X. G, Lin X. S, Tao J, Jin X. P 2009 A subwavelength coupler-type MIM optical filter [Opt. Express] Vol.17 P.7549-7554 google doi
  • 20. Hosseini A, Massoud Y 2007 Nanoscale surface plasmon based resonator using rectangular geometry [Appl. Phys. Lett.] Vol.90 P.181102 google doi
  • 21. Wang T. B, Wen X. W, Yin C. P, Wang H. Z 2009 The transmission characteristics of surface plasmon polaritons in ring resonator [Opt. Express] Vol.17 P.24096-24101 google doi
  • 22. Yun B, Hu G, Cui Y 2010 Theoretical analysis of a nanoscale plasmonic filter based on a rectangular metalinsulator-metal waveguide [J. Phys. D: Appl. Phys.] Vol.43 P.385102 google doi
  • 23. Lu H, Liu X, Mao D, Wang L, Gong Y 2010 Tunable bandpass plasmonic waveguide filters with nanodisk resonators [Opt. Express] Vol.18 P.17922-17927 google doi
  • 24. Maier S. A 2007 Plasmonics: Fundamentals and Applications Chapter 2 google
  • 25. Dionne J. A, Sweatlock L. A, Atwater H. A, Polman A 2006 Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization [Physical Review B] Vol.73 P.035407-1-035407-9 google doi
  • 26. Kim K. Y, Cho Y. K, Tae H.-S, Lee J.-H 2006 Light transmission along dispersive plasmonic gap and its subwavelength guidance characteristics [Opt. Express] Vol.14 P.320-330 google doi
  • 27. Raki? A. D, Djuri?i? A. B, Elazar J. M, Majewski M. L 1968 Optical properties of metallic films for verticalcavity optoelectronic devices [Appl. Opt.] Vol.37 P.5271-5283 google
  • 28. Pannipitiya Asanka, Rukhlenko Ivan D, premaratne Malin, Hattori Haroldo T, Agrawal Govind P 2010 Improved transmission model for metal-dielectric-metal plasmmonic waveguides with stub structures [Opt. Express] Vol.18 P.6191-6204 google doi
  • 29. Wolff I, Knoppik N 1971 Microstrip ring resonator and dispersion measurement on microstrip lines [Electron. Lett.] Vol.7 P.779-781 google doi
  • [FIG. 1.] Schematic of an MIM structure with two semi-infinitemetal slabs of permittivity ε2 surrounding a dielectric layer ofthickness h and permittivity ε1.
    Schematic of an MIM structure with two semi-infinitemetal slabs of permittivity ε2 surrounding a dielectric layer ofthickness h and permittivity ε1.
  • [TABLE 1.] Values of the Drude?Lorentz model parameters(metal is assumed to be silver)[27 28]
    Values of the Drude?Lorentz model parameters(metal is assumed to be silver)[27 28]
  • [FIG. 2.] (a) Real part of effective refraction index as a functionof wavelength for four different widths of the air layer in the Ag-air-Ag waveguide. (b) The corresponding propagation length of SPPs as a function of wavelength for the samewidths.
    (a) Real part of effective refraction index as a functionof wavelength for four different widths of the air layer in the Ag-air-Ag waveguide. (b) The corresponding propagation length of SPPs as a function of wavelength for the samewidths.
  • [FIG. 3.] Schematic of a simple band-pass plasmonic filterconsisting of two MIM waveguides coupled to each other bya circular ring resonator. h is set to 50 nm.
    Schematic of a simple band-pass plasmonic filterconsisting of two MIM waveguides coupled to each other bya circular ring resonator. h is set to 50 nm.
  • [FIG. 4.] (a) Transmittance spectrum of the simple band-pass plasmonic filter with circular ring resonator (RAv=125 nm Δ =10 nm). (b) The 'Hy' field profile of simple band-pass filterat the first resonance wavelength of λ=1145 nm. (c) The 'Hy' field pattern of simple band-pass filter at the second resonance wavelength of λ=583.5 nm.
    (a) Transmittance spectrum of the simple band-pass plasmonic filter with circular ring resonator (RAv=125 nm Δ =10 nm). (b) The 'Hy' field profile of simple band-pass filterat the first resonance wavelength of λ=1145 nm. (c) The 'Hy' field pattern of simple band-pass filter at the second resonance wavelength of λ=583.5 nm.
  • [FIG. 5.] Schematic of a band-pass plasmonic filter withcircular hollow-core ring resonator. (h=50 nm RAv=125 nm Δ= 10 nm). RH is variable.
    Schematic of a band-pass plasmonic filter withcircular hollow-core ring resonator. (h=50 nm RAv=125 nm Δ= 10 nm). RH is variable.
  • [FIG. 6.] (a) Transmission spectrum of the band-pass plasmonic filter with circular hollow-core ring resonator shown in figure 5 fordifferent values of RH. (b) Relationship between resonance wavelengths and hollow radius. (c) The 'Hy' field profile of band-passplasmonic filter with circular hollow- core ring resonator at the first resonance wavelength of λ= 1239 nm for RH=85 nm. (d) The 'Hy' field pattern of the filter at the second resonance wavelength of λ=636 nm for RH= 85 nm.
    (a) Transmission spectrum of the band-pass plasmonic filter with circular hollow-core ring resonator shown in figure 5 fordifferent values of RH. (b) Relationship between resonance wavelengths and hollow radius. (c) The 'Hy' field profile of band-passplasmonic filter with circular hollow- core ring resonator at the first resonance wavelength of λ= 1239 nm for RH=85 nm. (d) The 'Hy' field pattern of the filter at the second resonance wavelength of λ=636 nm for RH= 85 nm.
  • [FIG. 7.] Schematic of a band-pass plasmonic filter withcircular hollow-core ring resonator and reduced width of ring MIM waveguide at the coupling region. (h=50 nm RAv=125 nm RH=85 nm Δ = 10 nm). W is variable.
    Schematic of a band-pass plasmonic filter withcircular hollow-core ring resonator and reduced width of ring MIM waveguide at the coupling region. (h=50 nm RAv=125 nm RH=85 nm Δ = 10 nm). W is variable.
  • [FIG. 8.] (a) Transmission spectra of the structure shown in figure 7 for (h=50 nm RAv=125 nm RH=85 nm Δ =10 nm) and different values of W. (b) Relationship between transmittance of resonance wavelengths and W.
    (a) Transmission spectra of the structure shown in figure 7 for (h=50 nm RAv=125 nm RH=85 nm Δ =10 nm) and different values of W. (b) Relationship between transmittance of resonance wavelengths and W.
  • [FIG. 9.] Schematic of a simple band-stop plasmonic filter consisting of an MIM waveguide coupled to a circular ringresonator. h is set 50 nm.
    Schematic of a simple band-stop plasmonic filter consisting of an MIM waveguide coupled to a circular ringresonator. h is set 50 nm.
  • [FIG. 10.] (a) Transmittance spectrum of the simple band-stop plasmonic filter with circular ring resonator (RAv=125nm Δ =10nm). (b) The 'Hy' field pattern of simple band-stop filter atthe first resonance wavelength of λ?1145 nm. (c) The 'Hy' field profile of the filter at the second resonance wavelength of λ?583.5 nm.
    (a) Transmittance spectrum of the simple band-stop plasmonic filter with circular ring resonator (RAv=125nm Δ =10nm). (b) The 'Hy' field pattern of simple band-stop filter atthe first resonance wavelength of λ?1145 nm. (c) The 'Hy' field profile of the filter at the second resonance wavelength of λ?583.5 nm.
  • [FIG. 11.] Schematic of a band-stop plasmonic filter with circular hollow-core ring resonator. (h=50 nm RAv=125 nm Δ=10 nm). RH is variable.
    Schematic of a band-stop plasmonic filter with circular hollow-core ring resonator. (h=50 nm RAv=125 nm Δ=10 nm). RH is variable.
  • [FIG. 12.] (a) Transmission spectrum of the band-stop plasmonic filter with circular hollow-core ring resonator shown in figure 11 for different values of RH. (b) Relationship between resonance wavelengths and hollow radius. (c) The 'Hy' field pattern of band-stop filter with circular hollow-corering resonator at the first resonance wavelength of λ?1239nm for RH=85nm. (d) The 'Hy' field pattern of the filter at the second resonance wavelength of λ?636 nm for RH=85nm.
    (a) Transmission spectrum of the band-stop plasmonic filter with circular hollow-core ring resonator shown in figure 11 for different values of RH. (b) Relationship between resonance wavelengths and hollow radius. (c) The 'Hy' field pattern of band-stop filter with circular hollow-corering resonator at the first resonance wavelength of λ?1239nm for RH=85nm. (d) The 'Hy' field pattern of the filter at the second resonance wavelength of λ?636 nm for RH=85nm.