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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 16 — Jul. 30, 2012
  • pp: 18515–18524

Radiation of a uniformly moving line charge in a zero-index metamaterial and other periodic media

Avner Yanai and Uriel Levy  »View Author Affiliations

Optics Express, Vol. 20, Issue 16, pp. 18515-18524 (2012)

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Radiation of electromagnetic waves by a uniformly moving charge is the subject of extensive research over the last several decades. Fascinating effects such as Vavilov-Cherenkov radiation, transition radiation and the Smith-Purcell effect were discovered and studied in depth. In this letter we study the radiation of a line charge moving with relativistic constant velocity within an average zero index metamaterial consisting of periodically alternating layers with negative and positive refractive index. We observe a strong radiation enhancement, ∼3 orders of magnitude, for specific combinations of velocities and radiation frequencies. This surprising finding is attributed to a gigantic increase in the density of states at the positive/negative index boundary. Furthermore, we shed light on radiation effects of such a line charge propagating within the more “traditional” structure of periodically alternating layers consisting of positive and different refractive index with focus on frequencies satisfying the quarter wave stack and the half wave stack conditions. We show that the quarter-wave-stack case results in emission propagating vertically to the line charge trajectory, while the half-wave-stack results in negligible radiation. All these findings were obtained using a computationally efficient and conceptually intuitive computation method, based on eigenmode expansion of specific frequency components. For validation purposes this method was compared with the finite-difference-time-domain method.

© 2012 OSA

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(240.6690) Optics at surfaces : Surface waves
(300.2140) Spectroscopy : Emission

ToC Category:

Original Manuscript: June 22, 2012
Revised Manuscript: July 15, 2012
Manuscript Accepted: July 16, 2012
Published: July 27, 2012

Avner Yanai and Uriel Levy, "Radiation of a uniformly moving line charge in a zero-index metamaterial and other periodic media," Opt. Express 20, 18515-18524 (2012)

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