Implementation of transformed lenses in bed of nails reducing refractive index maximum value and sub-unity regions

Optics Letters
Daniel R PradoO Quevedo-Teruel

Abstract

Transformation optics with quasi-conformal mapping is applied to design a Generalized Maxwell Fish-eye Lens (GMFEL) which can be used as a power splitter. The flattened focal line obtained as a result of the transformation allows the lens to adapt to planar antenna feeding systems. Moreover, sub-unity refraction index regions are reduced because of the space compression effect of the transformation, reducing the negative impact of removing those regions when implementing the lens. A technique to reduce the maximum value of the refractive index is presented to compensate for its increase because of the transformation. Finally, the lens is implemented with the bed of nails technology, employing a commercial dielectric slab to improve the range of the effective refractive index. The lens was simulated with a 3D full-wave simulator to validate the design, obtaining an original and feasible power splitter based on a dielectric lens.

References

May 27, 2006·Science·Ulf Leonhardt
May 27, 2006·Science·J B PendryD R Smith
Oct 21, 2006·Science·D SchurigD R Smith
Nov 13, 2007·Physical Review Letters·Allan GreenleafGunther Uhlmann
Mar 21, 2008·Physical Review Letters·Marco RahmDavid R Smith
Dec 31, 2008·Physical Review Letters·Jensen Li, J B Pendry
Dec 22, 2009·Nature Materials·Nathan Kundtz, David R Smith
May 29, 2013·Scientific Reports·Oscar Quevedo-TeruelYang Hao
May 3, 2014·Scientific Reports·S A R HorsleyO Quevedo-Teruel

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