Title : 
Discrete Geodesics Method for Creeping Waves on Numerical Surfaces
         
        
            Author : 
Di Giampaolo, Emidio ; Scaramella, A.
         
        
            Author_Institution : 
DISP, Univ. di Roma Tor Vergata, Rome
         
        
        
        
        
        
            Abstract : 
A numerical method to solve both initial-value and boundary-value problem in geodesics calculation on arbitrary shaped surfaces has been developed. It is based on the approximation of a smooth surface with a triangular mesh while the geodesic path is obtained as a polygonal line. It can be used for creeping waves calculation on realistic structures. Preliminary tests showing its accuracy and efficiency are reported.
         
        
            Keywords : 
antenna theory; differential geometry; arbitrary shaped surfaces; creeping waves; discrete geodesics method; numerical surfaces; polygonal line; smooth surface; triangular mesh; Accuracy; Boundary conditions; Boundary value problems; Differential equations; Geophysics computing; Optical surface waves; Spline; Surface reconstruction; Surface topography; Surface waves;
         
        
        
        
            Conference_Titel : 
Microwave Conference, 2008. EuMC 2008. 38th European
         
        
            Conference_Location : 
Amsterdam
         
        
            Print_ISBN : 
978-2-87487-006-4
         
        
        
            DOI : 
10.1109/EUMC.2008.4751592