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HL: Fachverband Halbleiterphysik

HL 27: Photonic crystals III

HL 27.1: Vortrag

Dienstag, 26. Februar 2008, 16:00–16:15, EW 203

Cherenkov radiation in photonic crystals — •Christian Kremers, Dmitry N. Chigrin, and Johann Kroha — Physikalisches Institut, Universität Bonn, Nussallee 12, 53115 Bonn, Germany

We have considered modifications of Cherenkov radiation mediated by a periodic dielectric function of a general three-dimensional photonic crystal [1]. Analytical solutions for electric and magnetic fields far from the trajectory of the moving charged particle have been derived as a Bloch mode expansion within the stationary phase approximation [2]. An asymptotic analysis of the Cherenkov far-field allows to generalize the Huygens principle, which provides a simple and intuitive picture of the spatial distribution of radiated field due to charged particle moving in a periodic medium. Consistent semi-analytical expressions have been obtained for the spatial and spectral distribution of the radiated power. We have also applied this method to the analysis of Cherenkov radiation in a two-dimensional photonic crystal. The spatial and spectral distribution of radiated power for different velocities of the charged particle have been substantiated by numerically rigorous finite-difference time-domain calculations.

[1] C. Luo, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, Science 299, 368 (2003).

[2] D. N. Chigrin, Phys. Rev. E 70, 056611 (2004).