Light defies geometry in nearzeroindex media
DIPC Seminars
 Speaker

Iñigo Liberal, Universidad Publica de Navarra
 When

2017/12/05
13:00  Place
 Donostia International Physics Center
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Continuous media and metamaterials with a nearzero refractive index (NZI
media) provide alternative pathways for the control and manipulation of light
matter interactions. The exotic behavior of NZI media is rooted in the fact
that the wavelength gets effectively stretched as the refractive index
vanishes. This allows for pathological solutions to the wave equation,
including spatially static field distributions which nevertheless
dynamically oscillate in time. This paradoxical behavior gives access to a
regime of qualitatively different wave dynamics, where the importance of the
geometry is lessened, and certain observables are invariant with respect to
geometrical deformations, even including changes in the topology of the
system.
In this talk, Iâ€™ll review and discuss some of the geometryinvariant
phenomena related to nearzeroindex media. Examples will include: (i)
transmission (tunneling) of waves through deformed waveguides. (ii)
Unconventional resonators supporting modes whose eigenfrequency is independent
of the geometry of their external boundary. (iii) Violation of effective
medium theory geometrical restrictions, enabling, for example, single unit
cell metamaterials. (iv) Existence of bound states in open 3D compact
resonators with arbitrarily shaped boundaries. Different technological
applications and implementations of these concepts will be discussed.
**References**
I. Liberal and N. Engheta, â€œNearzero refractive index photonics,â€ Nat.
Photonics, vol. 11, no. 3, pp. 149â€“158, 2017.
I. Liberal, A. M. Mahmoud, and N. Engheta, â€œGeometryInvariant Resonant
Cavities,â€ Nat. Commun., vol. 7, p. 10989, 2016.
I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, â€œPhotonic
doping of epsilonnearzero media,â€ Science, vol. 355, pp. 1058â€“1062,
2017.
I. Liberal and N. Engheta, â€œZeroindex structures as an alternative platform
for quantum optics,â€ _Proc._ _Natl. Acad. Sci. USA_ , vol. 114, no. 5, pp.
822â€“827, 2017.
I. Liberal and N. Engheta, â€œNonradiating and radiating modes excited by
quantum emitters in open epsilonnearzero cavities,â€ _Sci. Adv._ , vol. 2,
no. 10, p. e1600987, 2016.