Catastrophe optics of caustics in single and bilayer graphene: fine structure of caustics

@article{Peterfalvi2010CatastropheOO,
  title={Catastrophe optics of caustics in single and bilayer graphene: fine structure of caustics},
  author={Csaba G. P'eterfalvi and Andr'as P'alyi and 'A. Ruszny'ak and J{\'a}nos Koltai and J{\'o}zsef Cserti},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  year={2010}
}
We theoretically study the scattering of a plane wave of a ballistic electron on a circular n-p junction in single and bilayer graphene. We compare the exact wave function inside the junction to that obtained from a semiclassical formula developed in catastrophe optics. In the semiclassical picture short-wavelength electrons are treated as rays of particles that can get reflected and refracted at the n-p junction according to Snell's law with negative refraction index. We show that for short… Expand

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