Article

The European Physical Journal B - Condensed Matter and Complex Systems

, Volume 36, Issue 1, pp 137-140

First online:

Surface plasmons on a quasiperiodic grating

  • J. Milton PereiraJr.Affiliated withDepartamento de Física, Universidade Federal do Ceará
  • , G. A. FariasAffiliated withDepartamento de Física, Universidade Federal do Ceará
  • , R. N. Costa FilhoAffiliated withDepartamento de Física, Universidade Federal do Ceará Email author 

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Abstract.

A method is presented for calculating the frequencies of non-retarded surface plasmons propagating on a semi-infinite medium with a surface profile described by a one-dimension quasiperiodic function. The profiles are generated, in analogy with previous work on quasiperiodic superlattices, by repeating unitary cells constructed according to an inflation rule. Dispersion relations are obtained for a semi-infinite free-electron metal as the active medium, with surface profiles obeying the Fibonacci and Thue-Morse sequences.