transmission measurement has been done by a set of standard high-gain microwave horn antennas, see Figure 1. In this case, the component of the magnetic field along z disappears because we are dealing with a quasi TEM wave, remaining only E y and H x . Therefore, previous free space measurements focused in the quasistatic resonance [9], are extended here to the study of high-order resonances.Measurements of the transmission have been done both in waveguide and in free space conditions with the experimental measurement set-ups described earlier. A reasonable agreement between simulation and measurement results can be observed in both free-space and waveguide scenario, see Figures 2(a) and 2(b), respectively. Needless to say, there are some differences between the waveguide and free space results due to the very different nature of the exciting mode fields TE 10 and TEM. To deepen in the origin of the resonances, the current densities for both exciting polarizations were simulated see Figure 3. In panel (a) are depicted the results obtained in the free-space situation (see caption to identify each resonance). Note that at the first resonance, as it was expected, the current density appears in both rings and its sense is antisymmetric, the second is symmetric, and for the third one only the outer ring is excited. For cross-polar excitation, the first and second ones are symmetric. For waveguide excitation, panel (b), the resonance patterns follow the same rules as in free space case with some minor changes in the induced current magnitude. In contrast with the planar circuit technology results given in [7], the high order resonance surface current patterns of Figure 3 evidence much more complexity than those corresponding to isolated single ring resonances. This would be explained because of the very different nature of the exciting waveguide and free space fields. An alternative explanation based on periodicity Bragg gaps is given in [10] and also, a study for U-shaped particles can be found in [11]. The obtained results could stimulate very promising future metamaterial applications as described in [12].
CONCLUSIONSIn summary, using simulation and experimental techniques, we have reported further results on the behavior of the high-order resonances of SRRs placed inside monomode waveguides and in free space conditions for both co-and cross-polar excitation. These results can stimulate in depth theoretical studies on the nature of the high order resonances under waveguide and free space excitation which are very promising for future metamaterial applications.
ACKNOWLEDGMENTThis work is, in part, supported by AECI project under contract A/6851/06 and by grants awarded to Mariem Aznabet and Otman El Mrabet. Also we acknowledge the support of the Spanish Government and E.U. FEDER under contract TEC2005-06923-C03-01. integrated circuits. Of these, coplanar waveguides are the transmission line of choice because of their wide-bandwidth, singlemode operation, and low-loss characteristics. Recently, researchers have exte...