Photonics Research, Volume. 2, Issue 1, 31(2014)

Volume integral method for investigation of plasmonic nanowaveguide structures and photonic crystals

A. M. Lerer*, I. V. Donets, G. A. Kalinchenko, and P. V. Makhno
Author Affiliations
  • Physics Department, Southern Federal University Rostov-na-Donu, Zorge St. 5, 344090 Rostov-na-Donu, Russia
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    Figures & Tables(11)
    Structures under consideration.
    Solid curves represent dispersion characteristics and effective propagation length for the metal waveguide shown in the inset. The red curves correspond to b=20 nm, black to 15 nm. The dashed curves depict analytical solutions for thin-film waveguides.
    Dispersion characteristics and effective propagation length for the metal waveguide shown in the inset. The red curves correspond to W=500 nm; green, 900 nm; and black, infinity.
    Dispersion characteristics and effective propagation length for the metal waveguide shown in the inset. All dimensions are in nanometers.
    Dispersion characteristics for the metal waveguide shown in the inset.
    Dispersion characteristics of waves propagating at different angles to the axis x in all-dielectric PC [Fig. 1(c)]. Black solid curves correspond to φ=0°, green to φ=10°, red to φ=12°, and blue to φ=14°. The dashed curves depict the result for φ=0° obtained by Ansoft HFSS commercial software. All dimensions are in nanometers.
    Normalized losses (top) and dispersion characteristics (bottom) for PC made of perforated silver film placed over a dielectric substrate [Fig. 1(c)]. Waves propagate at the angle φ=0°. Green symbols correspond to zero harmonics, blue to −1st harmonics. Red solid curve corresponds to nonperforated film.
    Dispersion characteristics for PC made of silver cylinders placed on a two-layer dielectric structure [Fig. 1(d)]. The dielectric layer thickness is b=100 nm on the upper graph and b=150 nm on the lower graph. The red symbols refer to cylinders of 70 nm diameter, black to 90 nm. A wave propagates at the angle φ=0°.
    • Table 1. Complex Refractive Index Obtained with Eqs. (5) and (6) for E-Wave Propagating on the Boundary of Half-Infinite Silver and Dielectric Layers

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      Table 1. Complex Refractive Index Obtained with Eqs. (5) and (6) for E-Wave Propagating on the Boundary of Half-Infinite Silver and Dielectric Layers

       Exact SolutionApproximate Solution
      λ, nmReβ/nImβ/ReβReβ/nImβ/Reβ
      4501.365770.053571.364380.04643
      5001.227120.022661.227020.02048
      5501.160680.012511.160660.01156
      6001.122890.008411.122880.00785
      7001.078940.005091.078940.00478
      8001.055870.003041.055870.00289
    • Table 2. Complex Refractive Index Obtained with Eqs. (5) and (6) for E-Wave Propagating in Vacuum-Silver Film-Dielectric Structure

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      Table 2. Complex Refractive Index Obtained with Eqs. (5) and (6) for E-Wave Propagating in Vacuum-Silver Film-Dielectric Structure

       Exact SolutionApproximate Solution
      λ, nmReβ/nImβ/ReβReβ/nImβ/Reβ
      5002.620730.054292.620300.04906
      2.113500.025662.113240.02312
      5502.362650.035242.362550.03238
      1.992800.014511.992760.01336
      6002.210510.026262.210460.02429
      1.923960.009891.923940.00919
      7002.023540.017772.023490.01643
      1.843360.006051.843340.00562
      8001.924830.011141.924820.01039
      1.801170.003621.801300.00342
    • Table 3. Effective Refractive Index and Effective Propagation Length Obtained with Volume Integral Method and Full-Vectorial Finite Difference Method for Linear Oblique and Curved Interfaces for E-Wave Propagating in Rectangular Gold Groove

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      Table 3. Effective Refractive Index and Effective Propagation Length Obtained with Volume Integral Method and Full-Vectorial Finite Difference Method for Linear Oblique and Curved Interfaces for E-Wave Propagating in Rectangular Gold Groove

        Our ResultsData from [28]
      f, THzλ, nmnL0(μm)nL0(μm)
      5006001.293052.9841.283
      4007501.2068314.6901.2117
      30010001.1671123.4381.1723.3
      20015001.1505124.7361.1433.3
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    A. M. Lerer, I. V. Donets, G. A. Kalinchenko, P. V. Makhno, "Volume integral method for investigation of plasmonic nanowaveguide structures and photonic crystals," Photonics Res. 2, 31 (2014)

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    Paper Information

    Category: Nanostructures

    Received: Sep. 23, 2013

    Accepted: Nov. 26, 2013

    Published Online: Mar. 3, 2014

    The Author Email: A. M. Lerer (lerer@sfedu.ru)

    DOI:10.1364/PRJ.2.000031

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