Title :
3-D Green´s functions in 1-D periodic structures: A comparative analysis of the acceleration techniques
Author :
Valerio, Guido ; Baccarelli, Paolo ; Burghignoli, Paolo ; Galli, Alessandro
Author_Institution :
Electron. Eng. Dept., La Sapienza Univ. of Rome, Rome
Abstract :
In this work we treat in detail the acceleration of the free-space scalar Green´s function in three dimensional (3D) structures with one dimensional (1D) periodicity. We analyze the methods able to deal with a complex phase shift, necessary to study complex waves in periodic structures. We present a spectral Kummer-Poisson´s decomposition; then we extend the application of the Ewald´s method by performing an optimization of the relevant splitting parameter, and we also find an integral representation. Comparisons among the various acceleration methods are performed, thus providing fundamental information on their actual efficiency.
Keywords :
Green´s function methods; computational electromagnetics; convergence of numerical methods; periodic structures; 1D periodic structures; 3D Green´s functions; Ewald´s method; acceleration techniques; complex phase shift; electromagnetic problems; free-space scalar Green´s function; integral representation; spectral Kummer-Poisson´s decomposition; splitting parameter; Acceleration; Convergence; Green´s function methods; Image converters; Lattices; Nonhomogeneous media; Optimization methods; Periodic structures; Phased arrays; Two dimensional displays;
Conference_Titel :
Antennas and Propagation, 2006. EuCAP 2006. First European Conference on
Conference_Location :
Nice
Print_ISBN :
978-92-9092-937-6
DOI :
10.1109/EUCAP.2006.4584480
