Theoretical and experimental exploration of finite sample size effects on the propagation of surface waves supported by slot arrays (article)
Physical review B: Condensed matter and materials physics
American Physical Society
The propagation of surface waves supported by a finite array of slots perforated on a zero thickness perfect electrically conducting screen is studied both experimentally and theoretically. To generate numerical results, the integral equation satisfied by the electric field in the slots is efficiently solved by means of Galerkin’s method, treating the metal as perfectly conducting. The finite size of the array along the direction of propagation creates a family of states of higher momentum and lower amplitude than the single mode for the corresponding infinite array. These modes are spaced in momentum with a periodicity inversely proportional to the length of the array. In addition, the finite width in the transverse direction produces a set of higher frequency modes due to this additional quantization. Both effects arising from finite sample length and width are explained by the theoretical model and validated experimentally
The authors wish to acknowledge financial support from the Engineering and Physical Sciences Research Council (EPSRC) of the United Kingdom, via the EPSRC Centre for Doctoral Training in Metamaterials (Grant No. EP/L015331/1). R.R.B. and F.M. acknowledge financial support from the Spanish MINECO (Grant No. TEC2013-41913-P) and the Spanish Junta de Andalucía (Grant No. P12-TIC-1435).
This is the final version of the article. Available from American Physical Society via the DOI in this record.
The dataset associated with this article is in ORE at: http://hdl.handle.net/10871/28223
Vol. 95, article 245425