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