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Analytical Solution for the Stopping Power of the Cherenkov Radiation in a Uniaxial Nanowire Material

Department of Electrical Engineering, Instituto de Telecomunicações, University of Coimbra, 3030 Coimbra, Portugal
Author to whom correspondence should be addressed.
Photonics 2015, 2(2), 702-718;
Received: 13 May 2015 / Revised: 12 June 2015 / Accepted: 13 June 2015 / Published: 19 June 2015
(This article belongs to the Special Issue New Frontiers in Plasmonics and Metamaterials)
PDF [560 KB, uploaded 19 June 2015]


We derive closed analytical formulae for the power emitted by moving charged particles in a uniaxial wire medium by means of an eigenfunction expansion. Our analytical expressions demonstrate that, in the absence of material dispersion, the stopping power of the uniaxial wire medium is proportional to the charge velocity, and that there is no velocity threshold for the Cherenkov emission. It is shown that the eigenfunction expansion formalism can be extended to the case of dispersive lossless media. Furthermore, in the presence of material dispersion, the optimal charge velocity that maximizes the emitted Cherenkov power may be less than the speed of light in a vacuum. View Full-Text
Keywords: Cherenkov radiation; wire medium; metamaterials Cherenkov radiation; wire medium; metamaterials

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Morgado, T.A.; Fernandes, D.E.; Silveirinha, M.G. Analytical Solution for the Stopping Power of the Cherenkov Radiation in a Uniaxial Nanowire Material. Photonics 2015, 2, 702-718.

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