Split-ring resonators and localized modes
Abstract
The paper presents asymptotic analysis of an eigenvalue problem for the Helmholtz operator in a periodic structure involving split-ring resonators [<article>originally proposed in J. B. Pendry et al., IEEE Trans. Microwave Theory Tech. 47, 2075 (1999)</article>]. The eigensolutions are sought in the form of Bloch waves. The main emphasis is given to the study of localized modes within such a structure and to the control of low-frequency bandgaps on the corresponding dispersion diagram. Asymptotic results are explicit and are in good agreement with numerical simulations.
- Publication:
-
Physical Review B
- Pub Date:
- September 2004
- DOI:
- 10.1103/PhysRevB.70.125116
- Bibcode:
- 2004PhRvB..70l5116M
- Keywords:
-
- 46.40.-f;
- 42.70.Qs;
- 43.40.+s;
- 62.30.+d;
- Vibrations and mechanical waves;
- Photonic bandgap materials;
- Structural acoustics and vibration;
- Mechanical and elastic waves;
- vibrations