Asymptotic Extraction Approach for Antennas in a Multilayered Spherical Media

• Published in: IEEE transactions on antennas and propagation Vol. 58; no. 3; pp. 1003 - 1008
• Main Author: Khamas, S.K.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Acceleration; Addition theorem; Algorithms; Antennas; Applied sciences; Asymptotic properties; Computational modeling; Convergence; Convergence of numerical methods; Dielectrics; Dyadic Green's function; Electromagnetic analysis; Electromagnetic radiation; Electromagnetic scattering; Exact sciences and technology; Finite difference methods; Hankel functions; Media; method of moments; Moment methods; Permittivity; Radiocommunications; Representations; spherical antennas; Telecommunications; Telecommunications and information theory; Stratified medium; Algorithm performance; spherical antennas; Eigenmode; Moment method; Convergence rate; Spherical antenna; method of moments; Green function; Dyadic Green's function
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2009.2039333

An efficient algorithm is introduced to enhance the convergence of dyadic Green's functions (DGF) in a layered spherical media where asymptotic expressions have been developed. The formulated expressions involve an infinite series of spherical eigenmodes that can be reduced to the simple homogenous media Green's function using the addition theorem of spherical Hankel functions. Substantial improvements in the convergence speed have been attained by subtracting the asymptotic series representation from the original DGF. The subtracted components are then added to the solution using the homogenous media Green's function format.