Title :
Elements of the spectral theory of double-periodic gratings
Author :
Velychko, L. ; Kryvchikova, G.
Author_Institution :
Usikov Inst. of Radiophys. & Electron., Kharkov, Ukraine
Abstract :
The paper presents results required for constructing the spectral theory of two-dimensionally periodic structures. The analytical representation for the canonical Green function is derived, a natural domain for the spectral parameter (complex-valued frequency) is determined in the form of the infinite-sheeted Riemann surface, statements that allow one to estimate domain of localization for the elements of a spectral set.
Keywords :
Green´s function methods; diffraction gratings; periodic structures; 2D periodic structures; canonical Green function; double periodic gratings; infinite sheeted Riemann surface; spectral parameter; spectral theory; Gratings; Green function; Oscillators; Resonant frequency; Scattering;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2012 International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4673-4478-4
DOI :
10.1109/MMET.2012.6331188
