Title : 
Diffraction by strongly elongated bodies and matching of the asymptotics in illuminatated part of the light-shadow boundary
         
        
            Author : 
Kirpichnikova, N.Ya. ; Popov, M.M.
         
        
            Author_Institution : 
St. Petersburg Dept., V.A. Steklov Math. Inst., St. Petersburg, Russia
         
        
        
        
        
        
            Abstract : 
We discuss the axisymmetrical diffraction problem for a strongly elongated convex and smooth scatterer in shortwave approximation where the classical method of parabolic equation fails. To overcome that difficulty we propose a new boundary layer in the light-shadow zone and consider in more details the matching of asymptotics in the illuminated part of that zone.
         
        
            Keywords : 
light diffraction; light scattering; asymptotics matching; axisymmetrical diffraction problem; boundary layer; light-shadow boundary; light-shadow zone; shortwave approximation; smooth scatterer; strongly elongated approximation; strongly elongated body; strongly elongated convex; Attenuation; Diffraction; Equations; Manifolds; Mathematical model; Surface waves;
         
        
        
        
            Conference_Titel : 
Days on Diffraction (DD), 2014
         
        
            Conference_Location : 
St. Petersburg
         
        
            Print_ISBN : 
978-1-4799-7331-6
         
        
        
            DOI : 
10.1109/DD.2014.7036436