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

Photonics

Tiago A. Morgado¹  David E. Fernandes¹ 

[1] Department of Electrical Engineering, Instituto de Telecomunicações, University of Coimbra, 3030 Coimbra, Portugal;

关键词: Cherenkov radiation;    wire medium;    metamaterials;   

DOI  :  10.3390/photonics2020702

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.