https://doi.org/10.1140/epjb/e2003-00326-9
Surface plasmons on a quasiperiodic grating
Departamento de Física, Universidade Federal do
Ceará, Caixa Postal 6030 Campus do Pici,
Fortaleza, Ceará, Brazil
Corresponding author: a rai@fisica.ufc.br
Received:
24
June
2003
Published online:
19
November
2003
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.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
