Discrete spectrum Radiation from a charged particle moving in a medium with Maxwell fish eye refraction index profile

Abstract

Radiation from a charged particle moving in a medium with Maxwell fish eye refraction index profile is considered. It is shown that the radiation spectrum has a discrete character. The main emitted wavelength is proportional to the refractive profiles radius and has a dipole character in a regular medium. Cherenkov like threshold velocity is established. A cardinal rearrangement of angular distribution in a lossless medium is predicted. This behavior is caused by the total internal reflection in a lossless medium as opposed to photons attenuated total reflection in the regular medium. Lossless medium ensures that both directed and monochromatic emission can serve as a light source in the corresponding regions.

arXiv comment13 pages, 4 figures

References in corpus (7)

• Notes on Conformal Invisibility Devices
• Perfect imaging without negative refraction
• Perfect imaging with positive refraction in three dimensions
• Quantum Optics in Maxwell's Fish Eye Lens with Single Atoms and Photons
• Motion-induced radiation from electrons moving in Maxwell's fish-eye
• Extended symmetries in geometrical optics
• Green's function for the wavized Maxwell fish-eye problem

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• Ultrafast Excitation Exchange in a Maxwell-Fish-Eye Lens
• Integrable isotropic profiles for polarized light