Inverse problem of quartic photonics.

@article{Mulkey2017InversePO,
  title={Inverse problem of quartic photonics.},
  author={Thomas Mulkey and Jimmy Dillies and Maxim Durach},
  journal={Optics letters},
  year={2017},
  volume={43 6},
  pages={
          1226-1229
        }
}
We formulate and solve the inverse problem of quartic photonics, or photonics of metamaterials, whose k-surfaces (also known as iso-frequency surfaces or Fresnel surfaces) are quartic surfaces. This provides an approach to engineer the effective parameters of metamaterials starting from the desired plane waves. We apply our method to the design of the high-k limit of metamaterials, extreme non-reciprocity, and complex bi-anisotropic media. 

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References

SHOWING 1-10 OF 34 REFERENCES

Electromagnetic wave propagation in metamaterials: A visual guide to Fresnel-Kummer surfaces and their singular points

  • A. Favaro
  • Physics
    2016 URSI International Symposium on Electromagnetic Theory (EMTS)
  • 2016
The propagation of light through bianisotropic materials is studied in the geometrical optics approximation. For that purpose, we use the quartic general dispersion equation specified by the

Controlling spontaneous emission with metamaterials.

Evidence of an anomalously high density of photonic states in hyperbolic metamaterials is observed, which demonstrates the feasibility of an earlier-predicted single-photon gun, and paves the road for the use of metammaterials in quantum optics.

Topological photonic phase in chiral hyperbolic metamaterials.

The effective medium route to topological phases will pave the way for highly compact one-way transportation of electromagnetic waves in integrated photonic circuits and bridge the gap between the advancing field of topological band theory and classical optical phenomena such as the spin Hall effect of light.

Parity and time-reversal symmetry breaking, singular solutions, and Fresnel surfaces.

  • KiehnRoberds
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1991
The method of exterior differential systems is applied to the problem of finding propagating singular solutions to Maxwell's equations. Fresnel ray and wave surfaces are computed for systems that are

Broadband Purcell effect: Radiative decay engineering with metamaterials

We show that metamaterials with hyperbolic dispersion support a large number of electromagnetic states that can couple to quantum emitters leading to a broadband Purcell effect. The proposed approach

Broadband super-planckian thermal emission from hyperbolic metamaterials

We develop fluctuational electrodynamics of hyperbolic metamaterials (HMMs) and establish broadband near-field thermal emission beyond the black-body limit. We predict thermal topological transitions

Plane wave propagation in extreme magnetoelectric (EME) medium

EME medium is defined as one with zero permittivity and inverse permeability. Dispersion equations for the plane wave are shown to be cubic and homogeneous or identically satisfied by the wave

Light propagation in local and linear media: Fresnel-Kummer wave surfaces with 16 singular points

It is known that the Fresnel wave surfaces of transparent biaxial media have 4 singular points, located on two special directions. We show that, in more general media, the number of singularities can

Electromagnetic Waves in Chiral and Bi-Isotropic Media

For scientists, research engineers, physicists and postgraduate students, this work introduces the essential aspects of electromagnetic waves in chiral and bi-isotropic media, to give the practical