2007/11/30 by G. A. Luna-Acosta, G A Luna-Acosta, H. Schanze +5 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Metamaterials and Metasurfaces Applications #Photonic Crystals and Applications #Plasmonic and Surface Plasmon Research #cond-mat.mes-hall #physics.optics
paper · pdf · doi:10.1088/1367-2630/10/4/043005
published as New Journal of Physics 10 (2008) 043005 · 16 pages, 7 figures
openalex publication_date 2008/04/04 · arxiv created 2008/04/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the effects of single impurities on the transmission in microwave realizations of the photonic Kronig–Penney model, consisting of arrays of Teflon pieces alternating with air spacings in a microwave guide. As only the first propagating mode is considered, the system is essentially one-dimensional (1D) obeying the Helmholtz equation. We derive analytical closed form expressions from which the band structure, frequency of defect modes and band profiles can be determined. These agree very well with experimental data for all types of single defects considered (e.g. interstitial and substitutional) and show that our experimental set-up serves to explore some of the phenomena occurring in more sophisticated experiments. Conversely, based on the understanding provided by our formulae, information about the unknown impurity can be determined by simply observing certain features in the experimental data for the transmission. Further, our results are directly applicable to the closely related quantum 1D Kronig–Penney model.