Title :
Spectral analysis of Serpinskij carpet-like prefractal waveguides and resonators
Author :
Arrighetti, W. ; Gerosa, G.
Author_Institution :
Dept. of Electron. Eng., Univ. of Rome "La Sapienza", Italy
Abstract :
Exact results on some modal properties of waveguides and resonators is studied, whose geometry is derived from "Serpinskij carpet-like" prefractals (Serpinskij carpet and sponge; Menger sponge). The study is biased to the closed-form computation of specific resonances and eigenmodes (called "dia-periodic"), and to the relation existing between their topology and the existence of a finite set of transverse electromagnetic modes.
Keywords :
fractals; resonators; spectral analysis; waveguide theory; Menger sponge; Serpinskij carpet-like prefractals; diaperiodic mode; iterated functions systems; modal properties; prefractal resonators; prefractal waveguides; spectral analysis; transverse electromagnetic modes; Associate members; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Fractals; Geometry; Rectangular waveguides; Resonance; Spectral analysis; Tellurium; Topology; Cohomology; Sierpinski; connectedness; diaperiodic mode; fractal; iterated functions systems (IFSs); prefractal; resonator; transverse electromagnetic (TEM); waveguide;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2004.840972
