Theoretical formalism for collective electromagnetic response of discrete metamaterial systems

@article{Jenkins2012TheoreticalFF,
  title={Theoretical formalism for collective electromagnetic response of discrete metamaterial systems},
  author={Stewart D. Jenkins and Janne Ruostekoski},
  journal={Physical Review B},
  year={2012},
  volume={86}
}
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… 

Figures from this paper

Collective scattering of subwavelength resonators in metamaterial systems

In this thesis, we model the electromagnetic (EM) interactions between plasmonic resonators and an incident EM field. By capturing the fundamental physics of each resonator, such as its resonance

Point dipole and quadrupole scattering approximation to collectively responding resonator systems

We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole,

Point-dipole approximation for small systems of strongly coupled radiating nanorods

TLDR
A detailed study for the validity of point dipole approximations in small systems of strongly coupled plasmonic nanorods, including the cases of both super-radiant and subradiant excitations, where the characteristics of the excitation depends on the spatial separation between the nanorod.

Cooperative electromagnetic interactions and linwidth narrowing in discrete metamaterial systems

  • S. JenkinsJ. Ruostekoski
  • Physics
    2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC
  • 2013
Summary form only given. Multiple scattering of the electromagnetic (EM) field from an ensemble of resonators generates interactions which can lead to a cooperative response. In atomic gases, the

Arrays of strongly-coupled atoms in a one-dimensional waveguide

We study the cooperative optical coupling between regularly spaced atoms in a one-dimensional waveguide using decompositions to subradiant and superradiant collective excitation eigenmodes, direct

Cooperative field localization and excitation eigenmodes in disordered metamaterials

We investigate numerically and experimentally the near-field response of disordered arrays comprising asymmetrically split ring resonators that exhibit a strong cooperative response. Our simulations

Interaction of light with planar lattices of atoms: Reflection, transmission, and cooperative magnetometry

We study strong, light-mediated, resonant dipole-dipole interactions in two-dimensional planar lattices of cold atoms. We provide a detailed analysis for the description of the dipolar point emitter

Cooperative eigenmodes and scattering in one-dimensional atomic arrays.

Collective coupling between dipoles can dramatically modify the optical response of a medium. Such effects depend strongly on the geometry of the medium and the polarization of the light. Using a

Strong interactions and subradiance in disordered metamaterials

We provide detailed comparisons between experimental findings and numerical simulations of large coopera- tively interacting, spatially disordered metamaterial arrays, consisting of asymmetrically

A Metamaterial Analog of the Ising Model

TLDR
The dynamic approach to reproduce static interaction between microscopic particles will enable more profound significance in exploring the unknown physical world by the macroscopic analogs.

References

SHOWING 1-2 OF 2 REFERENCES

Stewart

  • IEEE Transactions on Microwave Theory and Techniques
  • 1999

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