Title : 
Formation and destruction of waves with singularities on the spherical wavefront
         
        
        
            Author_Institution : 
Inst. of Phys., St. Petersburg Univ., Russia
         
        
        
        
        
        
            Abstract : 
Formation and destruction of waves produced by a source distributed on a specific circle are considered. The circle belongs to the spherical surface, expanding with the velocity of wave perturbation. The wavefunction expansion is constructed in terms of modes in the cylindrical coordinate system. Final results are compared with expressions obtained earlier for the moving circle of a constant radius
         
        
            Keywords : 
electromagnetic waves; initial value problems; light velocity; wave equations; constant radius; cylindrical coordinate system; distributed source; electromagnetic waves; moving circle; singularities; specific circle; spherical surface; spherical wavefront; velocity of light; wave destruction; wave formation; wave perturbation; wavefunction expansion; Diffraction; Electromagnetic scattering; Electromagnetic transients; Fourier transforms; Integral equations; Partial differential equations; Physics; Shape; Surface waves;
         
        
        
        
            Conference_Titel : 
Day on Diffraction, 1999. Proceedings. International Seminar
         
        
            Conference_Location : 
St. Petersburg
         
        
            Print_ISBN : 
5-7997-0156-9
         
        
        
            DOI : 
10.1109/DD.1999.816199