Theoretical formalism for collective electromagnetic response of discrete metamaterial systems

  title={Theoretical formalism for collective electromagnetic response of discrete metamaterial systems},
  author={Stewart D. Jenkins and Janne Ruostekoski},
  journal={Physical Review B},
We develop a general formalism to describe the propagation of a near-resonant electromagnetic field in a medium composed of magnetodielectric resonators. As the size and the spatial separation of nanofabricated resonators in a metamaterial array is frequently less than the wavelength, we describe them as discrete scatterers, supporting a single mode of current oscillation represented by a single dynamic variable. We derive a Lagrangian and Hamiltonian formalism for the coupled electromagnetic… 

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  • IEEE Transactions on Microwave Theory and Techniques
  • 1999

this indicates an isotropic high-momentum cutoff in the formulation of the non-relativistic electromagnetism