Spectral analysis of Šerpinskij carpet-like prefractal waveguides and resonators

IEEE Microwave and Wireless Components Letters

Volumn 15, Issue 1, 2005, Pages 30-32

  Arrighetti, Walter ^a   Gerosa, Giorgio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Cohomology; Connectedness; Diaperiodic mode; Fractal; Iterated functions systems (IFSs); Prefractal; Resonator; Sierpinski; Transverse electromagnetic (TEM); Waveguide

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FRACTALS; FUNCTIONS; ITERATIVE METHODS; RESONANCE; RESONATORS; TOPOLOGY; VECTORS;

COHOMOLOGY; CONNECTEDNESS; DIAPERIODIC MODE; ITERATED FUNCTIONS SYSTEMS (IFS); PREFRACTALS; SIERPINSKI; TRANSVERSE ELECTROMAGNETIC (TEM) WAVEGUIDES;

WAVEGUIDES;

EID: 12844274376     PISSN: 15311309     EISSN: None     Source Type: Journal    
DOI: 10.1109/LMWC.2004.840972     Document Type: Article

References (5)

1. M. F. Barnsley, Fractals Everywhere. San Diego, CA: Academic, 1993.
2. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications. New York: Wiley, 1990.
3. A. Hatcher, Algebraic Topology. London, U.K.: Cambridge Univ. Press, 2002.
4. W. Arrighetti, "Analysis of Fractal Electromagnetic Structures," Laurea dissertation, Univ. degli Studi di Roma "La Sapienza," [Online] Available: http://www.math.cornell.edu/~hatcher/, Rome, Italy, 2002.
5. M. Giona, A. Adrover, W. Arrighetti, P. Baccarelli, P. Burghignoli, P. De-Cupis, A. Galli, and G. Gerosa, Elettrodinamica sui frattali: rappresentazione di curve frattali ed equazioni integrali su domini frattali, Atti del XIV RiNEm, [Online] Available: www.ee.unian.it/conf/RiNEm2002/ articoli/a056.pdf, Ancona, Italy, pp. 382-385, Sep. 2002.