Title : 
An Improved Transformation and Optimized Sampling Scheme for the Numerical Evaluation of Singular and Near-Singular Potentials
         
        
            Author : 
Khayat, Michael A. ; Wilton, Donald R. ; Fink, Patrick W.
         
        
            Author_Institution : 
NASA Johnson Space Center, Houston, TX
         
        
        
        
            fDate : 
6/30/1905 12:00:00 AM
         
        
        
        
            Abstract : 
Simple and efficient numerical procedures using singularity cancellation methods are presented for evaluating singular and near-singular potential integrals. Four different transformations are compared and the advantages of the radial-angular transform are demonstrated. A method is then described for optimizing this integration scheme.
         
        
            Keywords : 
antenna theory; integral equations; optimisation; sampling methods; near-singular potentials; radial-angular transform; sampling scheme optimization; singular potentials; singularity cancellation methods; Computation theory; Integral equations; Numerical integration; integral equations; numerical integration;
         
        
        
            Journal_Title : 
Antennas and Wireless Propagation Letters, IEEE
         
        
        
        
        
            DOI : 
10.1109/LAWP.2008.928461