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

fYear

2006

fDate

6-10 Nov. 2006

Firstpage

1

Lastpage

5

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation, 2006. EuCAP 2006. First European Conference on

Conference_Location

Nice

Print_ISBN

978-92-9092-937-6

Type

conf

DOI

10.1109/EUCAP.2006.4584480

Filename

4584480