Title :
A new Sommerfeld-Watson transformation in 3-D
Author :
Li, Mao-Kun ; Chew, Weng Cho
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
A new formula on the scalar wave scattering by a sphere at high frequency is presented. A new Sommerfeld-Watson transformation is used to construct a new residue series. In the derivation, a spherical traveling wave is defined and used to reduce the complexity of the solution. Furthermore, the new solution offers a clearer physical picture.
Keywords :
Hankel transforms; electromagnetic wave scattering; series (mathematics); 3D transformation; Hankel function; Sommerfeld-Watson transformation; high frequency scattering; residue series; scalar wave scattering; sphere scattering; spherical traveling wave;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2004.827888
