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**Harvard**

Lambrechts, L., Ginis, V., Danckaert, J. och Tassin, P. (2016) *Transformation Optics Approach for Goos-Hanchen Shift Enhancement at Metamaterial Interfaces*. Bellingham : Spie-Int Soc Optical Engineering

** BibTeX **

@conference{

Lambrechts2016,

author={Lambrechts, L. and Ginis, V. and Danckaert, J. and Tassin, Philippe},

title={Transformation Optics Approach for Goos-Hanchen Shift Enhancement at Metamaterial Interfaces},

booktitle={Metamaterials X},

isbn={978-1-5106-0128-4},

abstract={Since its first observation in 1947, the Goos-Hanchen effect an electromagnetic wave phenomenon where a totally reflected beam with finite cross section undergoes a lateral displacement from its position predicted by geometric optics has been extensively investigated for various types of optical media such as dielectrics, metals and photonic crystals. Given their huge potential for guiding and sensing applications, the search for giant and tunable Goos-Hanchen shifts is still an open question in the field of optics and photonics. Metamaterials allow for unprecedented control over electromagnetic properties and thus provide an interesting platform in this quest for Goos-Hanchen shift enhancement. Over the last few years, the Goos-Hanchen effect has been investigated for specific metamaterial interfaces including graphene-on-dielectric surfaces, negative index materials and epsilon near -zero materials. In this contribution, we generalize the approach for the investigation of the Goos-Hanchen effect based on the geometric formalism of transformation optics. Although this metamaterial design methodology is generally applied to manipulate the propagation of light through continuous media, we show how it can also be used to describe the reflections arising at the interface between a vacuum region and a transformed region with a metamaterial implementation. Furthermore, we establish an analytical model that relates the magnitude of the Goos-Hanchen shift to the underlying geometry of the transformed medium. This model shows how the dependence of the Goos-Hanchen shift on geometric parameters can be used to dramatically enhance the size of the shift by an appropriate choice of permittivity and permeability tensors. Numerical simulations of a beam with spatial Gaussian profile incident upon metamaterial interfaces verify the model and firmly establish a novel route towards Goos-Hanchen shift engineering using transformation optics.},

publisher={Spie-Int Soc Optical Engineering},

place={Bellingham},

year={2016},

keywords={Metamaterials; metamaterial interfaces; metasurfaces; transformations optics; Gaussian beam displacement; Goos-Hanchen effect; Goos-Hanchen shift},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 242505

A1 Lambrechts, L.

A1 Ginis, V.

A1 Danckaert, J.

A1 Tassin, Philippe

T1 Transformation Optics Approach for Goos-Hanchen Shift Enhancement at Metamaterial Interfaces

YR 2016

T2 Metamaterials X

SN 978-1-5106-0128-4

AB Since its first observation in 1947, the Goos-Hanchen effect an electromagnetic wave phenomenon where a totally reflected beam with finite cross section undergoes a lateral displacement from its position predicted by geometric optics has been extensively investigated for various types of optical media such as dielectrics, metals and photonic crystals. Given their huge potential for guiding and sensing applications, the search for giant and tunable Goos-Hanchen shifts is still an open question in the field of optics and photonics. Metamaterials allow for unprecedented control over electromagnetic properties and thus provide an interesting platform in this quest for Goos-Hanchen shift enhancement. Over the last few years, the Goos-Hanchen effect has been investigated for specific metamaterial interfaces including graphene-on-dielectric surfaces, negative index materials and epsilon near -zero materials. In this contribution, we generalize the approach for the investigation of the Goos-Hanchen effect based on the geometric formalism of transformation optics. Although this metamaterial design methodology is generally applied to manipulate the propagation of light through continuous media, we show how it can also be used to describe the reflections arising at the interface between a vacuum region and a transformed region with a metamaterial implementation. Furthermore, we establish an analytical model that relates the magnitude of the Goos-Hanchen shift to the underlying geometry of the transformed medium. This model shows how the dependence of the Goos-Hanchen shift on geometric parameters can be used to dramatically enhance the size of the shift by an appropriate choice of permittivity and permeability tensors. Numerical simulations of a beam with spatial Gaussian profile incident upon metamaterial interfaces verify the model and firmly establish a novel route towards Goos-Hanchen shift engineering using transformation optics.

PB Spie-Int Soc Optical Engineering

LA eng

DO 10.1117/12.2227519

LK http://dx.doi.org/10.1117/12.2227519

OL 30