Surface plasmons on a quasiperiodic grating
- Cite this article as:
- Pereira, J.M., Farias, G.A. & Costa Filho, R.N. Eur. Phys. J. B (2003) 36: 137. doi:10.1140/epjb/e2003-00326-9
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.