Communications in Mathematical Analysis

The Structure of the Cherenkov Field Emission in Metamaterials

E. Martinez-Sanchez, G. Burlak, and V. Rabinovich

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Abstract

We report results of systematic analytic and numerical study of the electromagnetic field generated by a moving with the uniform velocity source through a dispersive lossy metamaterial. The Cherenkov radiation in a far zone is considered with the use of 2D stationary phase method. In our simulations the Drude model is implemented for a metamaterial. As a result of passage of modulated charged source in metamaterial a double branching of the Cherenkov cone with negative refractive index is registered.

Article information

Source
Commun. Math. Anal., Volume 17, Number 2 (2014), 253-262.

Dates
First available in Project Euclid: 18 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1418919769

Mathematical Reviews number (MathSciNet)
MR3292973

Zentralblatt MATH identifier
1327.78004

Subjects
Primary: 65N25: Eigenvalue problems 74J05: Linear waves 78A25: Electromagnetic theory, general 78A40: Waves and radiation

Keywords
Cherenkov radiation dispersive metamaterial stationary phase method

Citation

Martinez-Sanchez, E.; Burlak, G.; Rabinovich, V. The Structure of the Cherenkov Field Emission in Metamaterials. Commun. Math. Anal. 17 (2014), no. 2, 253--262. https://projecteuclid.org/euclid.cma/1418919769


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