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Surface plasmon wavevector calculations

  1. Jul 5, 2012 #1
    I am trying to calculate the wavevector of a surface plasmon. The magnitude of the wavevector is given by:

    k = [itex]\frac{ω}{c}[/itex][itex]\sqrt{\frac{ε_1ε_2}{ε_1+ε_2}}[/itex]

    where ε1 is the dielectric constant for air and ε2 is the dielectric constant for the metal. However, according to the Drude model, the dielectric constant for a metal is not a constant but is a complex function of wavelength (frequency). I am looking to make this calculation for incident radiation in the mid-infrared (λ = 10 microns or so) where ωτ >> 1. Would using

    ε(ω) = 1 - [itex]\frac{ω_p^2}{ω^2}[/itex]

    work well in this region (where [itex]ω_p[/itex] is the plasma frequency)?
     
    Last edited: Jul 5, 2012
  2. jcsd
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