Title :
Efficient Recursive Generation of the Scalar Spherical Multipole Translation Matrix
Author :
Kim, Kristopher T.
Author_Institution :
Air Force Res. Lab., Hanscom AFB
Abstract :
New efficient recursive procedures for generating the translation matrix of the scalar spherical multipole field are described. They are based on a new set of recurrence relations that result when the angular-momentum operator is applied to the spherical multipole field. Their efficiency and accuracy are compared analytically and through a computer experiment with those of the brute-force method and an existing recursive procedure.
Keywords :
antenna theory; matrix algebra; recursive functions; angular-momentum operator; brute-force method; efficient recursive generation; recurrence relations; scalar spherical multipole translation matrix; spherical multipole field; Acoustic scattering; Coaxial components; Electromagnetic fields; Electromagnetic scattering; Equations; Force sensors; Helium; Particle scattering; Transmission line matrix methods; Vectors; Antenna theory; efficient computation; recursive relations; scattering; spherical multipole fields; translation matrix;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2007.910358
