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

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Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics. / Peterfalvi, Csaba; Palyi, Andras; Rusznyak, Adam et al.
In: physica status solidi (b), Vol. 247, No. 11-12, 12.2010, p. 2949-2952.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Peterfalvi, C, Palyi, A, Rusznyak, A, Koltai, J & Cserti, J 2010, 'Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics', physica status solidi (b), vol. 247, no. 11-12, pp. 2949-2952. https://doi.org/10.1002/pssb.201000160

APA

Peterfalvi, C., Palyi, A., Rusznyak, A., Koltai, J., & Cserti, J. (2010). Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics. physica status solidi (b), 247(11-12), 2949-2952. https://doi.org/10.1002/pssb.201000160

Vancouver

Peterfalvi C, Palyi A, Rusznyak A, Koltai J, Cserti J. Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics. physica status solidi (b). 2010 Dec;247(11-12):2949-2952. doi: 10.1002/pssb.201000160

Author

Peterfalvi, Csaba ; Palyi, Andras ; Rusznyak, Adam et al. / Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics. In: physica status solidi (b). 2010 ; Vol. 247, No. 11-12. pp. 2949-2952.

Bibtex

@article{74fb5098becf41abadc68f420b0241f4,
title = "Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics",
abstract = "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",
keywords = "graphene , n–p junction , negative refractive index , caustics , catastrophe optics , universal scaling laws",
author = "Csaba Peterfalvi and Andras Palyi and Adam Rusznyak and Janos Koltai and Jozsef Cserti",
year = "2010",
month = dec,
doi = "10.1002/pssb.201000160",
language = "English",
volume = "247",
pages = "2949--2952",
journal = "physica status solidi (b)",
issn = "0370-1972",
publisher = "Wiley-VCH Verlag",
number = "11-12",

}

RIS

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 -