Title :
Rotational Vector Addition Theorem and Its Effect on T-Matrix
Author :
Khajeahsani, M.S. ; Mohajeri, F. ; Abiri, H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Shiraz Univ., Shiraz, Iran
Abstract :
Translation is a degree of freedom used in the analysis of random media scattering. An analytical method is presented for rotational degree of freedom in such problems. Vector addition theorem for rotation of a vector spherical wave with zero divergence has been proved through the use of a vector rotation operator. The relation between T-matrices for an object in two different concentric coordinate systems is formulated by applying the addition theorem. The relationship between the two coordinate systems is also shown by Euler angles.
Keywords :
electromagnetic wave scattering; matrix algebra; Euler angles; T-matrix; concentric coordinate systems; degree of freedom; random media scattering; rotational vector addition theorem; vector spherical wave; Eigenvalues and eigenfunctions; Electromagnetic scattering; Equations; Manganese; Mathematical model; Taylor series; Wave functions; Rotation operator; T-matrix; spherical wave function;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2011.2163747
