Title :
Application of Shank´s Transformation to the Convergence Improvement in the Fourier Analysis of Photonic Crystals
Author :
Fallahu, A. ; Aghaie, K. Zamani ; Enayati, A. ; Shahabadi, M.
Author_Institution :
Sch. of Electr. & Comput. Eng., Tehran Univ.
Abstract :
Shank´s transformation is employed for the improvement of the convergence of the Fourier modal analysis of photonic crystals. In this paper, we have studied the plane-wave diffraction of a one-dimensional dielectric photonic crystal slab. Numerical results demonstrate a substantial improvement in the convergence rate of the diffraction efficiency so that a high accuracy is obtained by using only a few spatial harmonics
Keywords :
Fourier analysis; dielectric materials; diffraction; photonic crystals; wave propagation; 1D dielectric photonic crystal slab; Fourier modal analysis; Shank transformation; convergence improvement; diffraction efficiency; plane-wave diffraction; spatial harmonics; Convergence; Dielectrics; Diffraction; Modal analysis; Optical computing; Periodic structures; Photonic crystals; Slabs; Transmission line matrix methods; Transmission lines;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689813