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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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

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

First available in Project Euclid: 18 December 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Cherenkov radiation dispersive metamaterial stationary phase method


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.

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