| 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.Received: 24 June 2003, Published online: 19 November 2003PACS: 73.20.Mf Collective excitations (including excitons, polarons, plasmons and other charge-density excitations) - 71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons |
