Title :
Application of Kummer´s Transformation to the Efficient Computation of the 3-D Green´s Function With 1-D Periodicity
Author :
Fructos, Ana L. ; Boix, Rafael R. ; Mesa, Francisco
Author_Institution :
Dept. of Electron. & Electromagn., Univ. of Seville, Seville, Spain
Abstract :
The 3-D homogeneous Green´s function with 1-D periodicity is commonly expressed as spatial and spectral infinite series that may show very slow convergence. In this work Kummer´s transformation is applied to the spatial series in order to accelerate its convergence. By retaining a sufficiently large number of asymptotic terms in the application of Kummer´s transformation, the spatial series is split into a set of series which can be accurately obtained with very low computational effort. The numerical results obtained show that, when the number of asymptotic terms retained in Kummer´s transformation is large enough, the convergence acceleration method proposed in this work is always faster than existing acceleration methods such as the spectral Kummer-Poisson´s method and Ewald´s method.
Keywords :
Green´s function methods; computational electromagnetics; convergence of numerical methods; stochastic processes; transforms; 1D periodicity; 3D homogeneous Green´s function; Ewald method; Kummer transformation; convergence acceleration method; electromagnetic analysis; spectral Kummer-Poisson method; Acceleration; Convergence of numerical methods; Electrical capacitance tomography; Electromagnetic analysis; Electromagnetic scattering; Frequency selective surfaces; Green´s function methods; Impedance; Moment methods; Periodic structures; Physics; Surface impedance; Convergence of numerical methods; Green´s functions; periodic structures; series;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2009.2036188