Bulk and surface magnetoinductive breathers in binary metamaterials

TL;DR

This paper investigates the theoretical existence and properties of bulk and surface discrete breathers in a one-dimensional binary magnetic metamaterial, using analytical and numerical methods to confirm their stability and spontaneous emergence.

Contribution

It introduces a new model of binary split-ring resonator arrays and demonstrates the existence of stable and spontaneously appearing discrete breathers within this system.

Findings

Discrete breathers exist in both conservative and dissipative regimes.

Numerical simulations confirm analytical predictions of breather stability.

Breathers can spontaneously form due to fundamental instabilities.

Abstract

We study 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 differ in the size of their slits and this leads to different resonant frequencies. In the framework of the rotating-wave approximation (RWA) we construct several types of breather excitations for both the energy-conserved and the dissipative-driven systems by continuation of trivial breather solutions from the anticontinuous limit to finite couplings. Numerically-exact computations that integrate the full model equations confirm the quality of the RWA results. Moreover, it is demonstrated that discrete breathers can spontaneously appear in the dissipative-driven system as a results of a fundamental instability.