Closed-form expression for the Goos-Hänchen lateral displacement

@article{Arajo2016ClosedformEF,
  title={Closed-form expression for the Goos-H{\"a}nchen lateral displacement},
  author={Manoel P. Ara{\'u}jo and Stefano De Leo and Gabriel Gulak Maia},
  journal={Physical Review A},
  year={2016},
  volume={93},
  pages={023801}
}
The Artmann formula provides an accurate determination of the Goos-Hanchen lateral displacement in terms of the light wavelength, refractive index and in- cidence angle. In the total reflection region, this formula is widely used in the literature and confirmed by exper- iments. Nevertheless, for incidence at critical angle, it tends to infinity and numerical calculations are needed to reproduce the experimental data. In this paper, we overcome the divergence problem at critical angle and find… 
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