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Abstracts - Dipartimento di Elettronica Applicata

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Meta 2010 & FEM 2010 – Rome, 13-15 December 2010<br />

Analytical Model of Connected Bi-Omega<br />

Structures for Enhanced Microwave<br />

Transmission<br />

Filiberto Bilotti, Luca Di Palma, and Lucio Vegni<br />

“Roma Tre” University, Department of Applied Electronics<br />

Rome, Italy – E-mail: bilotti@uniroma3.it<br />

In this contribution, we present a new analytical model of two connected biomega<br />

particles (Figure 1a). Exploiting the analytical models of chiral and<br />

planar omega particles [1-2] and the equivalent circuit of the bi-helix particle<br />

[3], we have developed a new analytical model for the isolated bi-omega<br />

particle (i.e. a single omega particle backed by its reversed replica). Assuming<br />

the particle electrically small, the proposed analytical model is given in terms<br />

of a proper lumped element equivalent circuit. Then, we have extended the<br />

model to the case of two connected bi-omega particles, by considering the<br />

relevant coupling terms. Since this structure is symmetric, it does support two<br />

fundamental modes, characterized by an even and an odd electric field<br />

<strong>di</strong>stribution, respectively. The analytical model, in fact, pre<strong>di</strong>cts two <strong>di</strong>fferent<br />

resonant frequencies related to the two modes of operation. Such a result is<br />

confirmed also by proper full-wave numerical simulations (Figure 1b). The<br />

proposed analytical model has been successfully used to design compact<br />

devices to obtain extraor<strong>di</strong>nary transmission through sub-wavelength apertures<br />

in metallic waveguides. This result opens the door to the design of a new class<br />

of microwave components (filters, impedance matching devices, mode<br />

converters, cavity resonators, miniaturized probes and ra<strong>di</strong>ating systems, etc.),<br />

some of which will be shown at the conference.<br />

55<br />

Magnetic field amplitude [A/m]<br />

25<br />

20<br />

15<br />

10<br />

5<br />

“even” mode<br />

“odd” mode<br />

0<br />

0 1 2 3 4 5<br />

Frequency [GHz]<br />

d) b)<br />

Figure 1 – a) Sketch of two connected bi-omega particles and b) its typical resonant behavior.<br />

References<br />

[1] S.A. Tretyakov, et al. “Analytical Antenna Model for Chiral Scatterers: Comparison with<br />

Numerical and Experimental Data,” IEEE Trans. Antennas Propagat., 44, 1006-1014,<br />

1996.<br />

[2] C.R. Simovski, S.A. Tretyakov, A.A. Sochava, “Antenna Model for Conductive Omega<br />

Particles,” J. Elettromag. Waves Applicat., 11, 1509-1530, 1997.<br />

[3] A.N. Lagarkova, et al. “Resonance Properties of Bi-helix Me<strong>di</strong>a at Microwaves,”<br />

Electromagnetics, 17, 213-237, 1997.

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