Multifrequency spatial filtering: a general property of two-dimensional photonic crystals

Journal
Photonics and nanostructures  
Volume
18
Start Page
1
End Page
9
Citation
Photonics and Nanostructures - Fundamentals and Applications (18): 1-9 (2016)
Publisher DOI
10.1016/j.photonics.2015.11.001
Scopus ID
2-s2.0-84957678374
Publisher
Elsevier
Spatial filtering, an analog of frequency-domain filtering that can be obtained in the incidence angle domain at a fixed frequency is studied in the transmission mode for slabs of two-dimensional rod-type photonic crystals. In the present paper, the emphasis is put on the demonstration of the possibility to obtain various regimes of spatial filtering, i.e., band-stop, band-pass, and low-pass filtering in different frequency ranges in one simple configuration. The operation is based on the use of several Floquet-Bloch modes with appropriate dispersion properties, so that such one or two co-existing mode(s) contribute to the forming of a proper filter characteristic within each specific frequency range. It is shown that high-efficiency transmission and steep switching between pass and stop bands can be obtained in the angle domain for wide ranges of variation of the problem parameters. In particular, by varying the rod-diameter-to-lattice-constant ratio, one attains lots of freedom in the engineering of spatial filters with desired transmission characteristics.
Subjects
Fabry-Perot resonance
Floquet-Bloch mode
Photonic crystal
Spatial filtering
Transmission
DDC Class
600: Technik
More Funding Information
Supported by the projects DPT-HAMIT, ESF-EPIGRAT, and NATO-SET-181 as well as by TUBITAK under Project Nos. 107A004, 109A015, 109E301, and 110T306. The contribution of A.E.S. has partially been supported by TUBITAK in the framework of the Visiting Researcher Programme and by National Science Center of Poland under Project MagnoWa DEC-2-12/07/E/ST3/00538. A.P. acknowledges financial support from the Ministry of Education and Science of Russian Federation in the framework of state task 11.1227.2014/K and from the Government of Russian Federation , Grant 074-U01 . E.O. acknowledges partial support from the Turkish Academy of Sciences.