Physics – Optics
Scientific paper
2007-11-12
New Journal of Physics 10 (2008) 043005
Physics
Optics
16 pages, 7 figures
Scientific paper
10.1088/1367-2630/10/4/043005
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 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, substitutional) and shows 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 formulas, 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.
Kuhl Ulrich
Luna-Acosta Germán A.
Schanze H.
Stoeckmann Hans-Juergen
No associations
LandOfFree
Impurity effects on the band structure of one-dimensional photonic crystals: Experiment and theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Impurity effects on the band structure of one-dimensional photonic crystals: Experiment and theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Impurity effects on the band structure of one-dimensional photonic crystals: Experiment and theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-128643