Method of moments enhancement technique for the analysis of Sierpinski pre-fractal antennas

Author

Parrón, Josep ; Romeu, Jordi ; Rius, Juan M. ; Mosig, Juan R.

Author_Institution

Signal Theor. & Commun. Dept., Univ. Politecnica de Catalunya Jordi Girona, Barcelona, Spain

Volume

51

Issue

8

fYear

2003

Firstpage

1872

Lastpage

1876

Abstract

The numerical analysis of highly iterated Sierpinski microstrip patch antennas by the method of moments (MoM) involves many tiny subdomain basis functions, resulting in a very large number of unknowns. The Sierpinski pre-fractal can be defined by an iterated function system (IFS). As a consequence, the geometry has a multilevel structure with many equal subdomains. This property, together with a multilevel matrix decomposition algorithm (MLMDA) implementation in which the MLMDA blocks are equal to the IFS generating shape, is used to reduce the computational cost of the frequency analysis of a Sierpinski based structure.

Keywords

computational complexity; fractals; frequency-domain analysis; functions; iterative methods; matrix decomposition; method of moments; microstrip antennas; MoM; Sierpinski microstrip antennas; Sierpinski pre-fractal antennas; basis functions; computational cost; frequency analysis; iterated function system; method of moments; multilevel matrix decomposition algorithm; numerical analysis; patch antennas; Algorithm design and analysis; Computational efficiency; Frequency; Geometry; Matrix decomposition; Microstrip antennas; Moment methods; Numerical analysis; Patch antennas; Shape;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TSP.2003.815428

Filename

1219595