Title : 
Spherical harmonic representation of some transient solutions to the inhomogeneous telegraph equation
         
        
        
            Author_Institution : 
Fock Inst. of Phys., St. Petersburg Univ., Russia
         
        
        
        
        
        
            Abstract : 
Solutions of the inhomogeneous telegraph equation are constructed in terms of spherical harmonics for source distributions on an expanding sphere. The solutions obtained are used for a sphere expanding faster than light. The case of a source distributed on a circle belonging to the sphere is also given. The possibility of description of electromagnetic waves by means of the constructed scalar solutions is shown.
         
        
            Keywords : 
electromagnetic wave propagation; plasma electromagnetic wave propagation; constructed scalar solutions; electromagnetic waves; expanding sphere; inhomogeneous telegraph equation; source distributions; spherical harmonic representation; transient solutions; Equations; Physics; Polynomials; Telegraphy; Tires;
         
        
        
        
            Conference_Titel : 
Day on Diffraction, 2002. Proceedings. International Seminar
         
        
            Print_ISBN : 
5-7997-0469-X
         
        
        
            DOI : 
10.1109/DD.2002.1177891