Bulk and surface magnetoinductive breathers in binary metamaterials

M.I. Molina, N. Lazarides and G.P. Tsironis
PHYSICAL REVIEW B 80, 4 (2009)


We investigate theoretically the existence of bulk and surface discrete breathers in a one-dimensional magnetic metamaterial comprised of a periodic binary array of split-ring resonators; the two types of resonators used have different resonant frequencies caused by unequal slit sizes. We use the rotating-wave approximation and construct several types of breather excitations both for the energy-conserving as well as dissipative-driven case; we corroborate these approximate results trough numerically exact computations. We demonstrate that discrete breathers can appear spontaneously in the dissipative-driven system as a result of a fundamental instability.

DOI: http://dx.doi.org/10.1103/PhysRevE.80.046605