Title : 
New method with exponential convergence to evaluate the periodic Green function
         
        
            Author : 
Silveirinha, M.G.M.V. ; Fernandes, C.A.
         
        
            Author_Institution : 
Instituto de Telecommunicacoes, Inst. Superior Tecnico, Lisboa, Portugal
         
        
        
        
        
        
            Abstract : 
The Green function method is very effective in the analysis of doubly periodic systems fit the three-dimensional space (e.g. frequency selective surfaces). In important cases, it allows reducing the domain of the problem to a single unit cell with a significant diminution of the computational effort. In this paper, we propose a new representation for the Green function with exponential convergence rate.
         
        
            Keywords : 
Green´s function methods; convergence of numerical methods; frequency selective surfaces; periodic structures; Gaussian convergence; arbitrary point; doubly periodic systems; exponential convergence rate; frequency selective surfaces; lattice Green function; mixed-domain representation; numerical algorithms; periodic Green function; point sources; three-dimensional space; triple-array; two-dimensional array; Convergence; Frequency; Green function; Lattices; Paints;
         
        
        
        
            Conference_Titel : 
Antennas and Propagation Society International Symposium, 2003. IEEE
         
        
            Conference_Location : 
Columbus, OH, USA
         
        
            Print_ISBN : 
0-7803-7846-6
         
        
        
            DOI : 
10.1109/APS.2003.1219357