Title :
Translational addition theorems for the time domain spherical scalar wave functions
Author :
Azizoglu, S. Alp ; Koc, S. Sencer
Author_Institution :
Div. of Commun., ASELSAN Inc., Ankara
Abstract :
In this paper, first the time domain spherical scalar wave functions are defined. Next, an impulsive plane wave coming in along an arbitrary direction is expressed in terms of spherical waves with center at the origin in the time domain. Then with the help of this expansion, the translational addition theorems for the time domain spherical scalar wave functions are given. Finally, the derived expressions are checked numerically
Keywords :
time-domain analysis; wave equations; wave functions; impulsive plane wave; time domain spherical scalar wave functions; translational addition theorems; Convolution; Fourier transforms; Partial differential equations; Scattering; Surface waves; Wave functions;
Conference_Titel :
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
1-4244-0123-2
DOI :
10.1109/APS.2006.1710686
