Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics
AU - Peterfalvi, Csaba
AU - Palyi, Andras
AU - Rusznyak, Adam
AU - Koltai, Janos
AU - Cserti, Jozsef
PY - 2010/12
Y1 - 2010/12
N2 - We theoretically study the scattering of a plane wave of a ballistic electron on a circular n-p junction (NPJ) 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 NPJ according to Snell's law with negative refraction index. We show that for short wavelength and close to caustics this semiclassical approximation gives good agreement with the exact results in the case of single-layer graphene. We also verify the universal scaling laws that govern the shrinking rate and intensity divergence of caustics in the semiclassical limit. It is straightforward to generalize our semiclassical method to more complex geometries, offering a way to efficiently design and model graphene-based electron-optical systems. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
AB - We theoretically study the scattering of a plane wave of a ballistic electron on a circular n-p junction (NPJ) 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 NPJ according to Snell's law with negative refraction index. We show that for short wavelength and close to caustics this semiclassical approximation gives good agreement with the exact results in the case of single-layer graphene. We also verify the universal scaling laws that govern the shrinking rate and intensity divergence of caustics in the semiclassical limit. It is straightforward to generalize our semiclassical method to more complex geometries, offering a way to efficiently design and model graphene-based electron-optical systems. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
KW - graphene
KW - n–p junction
KW - negative refractive index
KW - caustics
KW - catastrophe optics
KW - universal scaling laws
U2 - 10.1002/pssb.201000160
DO - 10.1002/pssb.201000160
M3 - Journal article
VL - 247
SP - 2949
EP - 2952
JO - physica status solidi (b)
JF - physica status solidi (b)
SN - 0370-1972
IS - 11-12
ER -