DocumentCode
1291529
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
Volume
59
Issue
10
fYear
2011
Firstpage
3819
Lastpage
3825
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;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/TAP.2011.2163747
Filename
5976392
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