Speaker
Ms
Darya Sergeeva
(National Research Nuclear University "MEPhI")
Description
Charged particles moving in periodical structures produce different kinds of radiation, including parametric radiation and Smith-Purcell radiation (SPR), which are rather close in its nature, indeed. The latter is well investigated for different types of gratings like lamellar, eshelette, gratings made of strips, etc. Smith-Purcell radiation from photonic crystals has been studied less. As it was shown in the papers of K. Ohtaka et al. [1-4], in the case of photon crystals the SPR radiation spectrum contains very sharp lines which are inconsistent with the conventional Smith-Purcell dispersion relation. Though the experimental investigations and computer simulations of this phenomenon have been done already, the only theoretical consideration was published in [2], which, however, is also semi-numerical.
In this work we report the theory of Smith-Purcell effect for 2D photon crystal. The theory is constructed from the first principles proceeding from Maxwell’s equations and microscopic characteristics of the objects the crystal made from. Two dimensionality “2D” is understood in both ways: photonic crystal is an arranged system of particles, disposed in the one layer (monolayer), with periodicity in two different directions. We consider the local field effects [5, 6] that are necessary for consideration of interaction of the particles. Also, we take into account the effect of conical diffraction in Smith-Purcell radiation [7], and discuss its main spectral and angular characteristics. We show that the effects mentioned are capable of crucial change of the conventional Smith-Purcell radiation properties.
1. S. Yamaguti, J. Inoue, O. Haeberle´, K. Ohtaka, Photonic crystals versus diffraction gratings in Smith-Purcell radiation, Phys. Rev. B 66, 195202 (2002).
2. T. Ochiai, K. Ohtaka, Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals. I. Formalism and surface plasmon polariton, Phys. Rev. B 69, 125106 (2004).
3. N. Horiuchi, T. Ochiai, J. Inoue, Y. Segawa, Y. Shibata, K. Ishi, Y. Kondo, M. Kanbe, H. Miyazaki, F. Hinode, S. Yamaguti, and K. Ohtaka, Exotic radiation from a photonic crystal excited by an ultrarelativistic electron beam, Phys. Rev. E 74, 056601 (2006).
4. T. Ochiai, Imitating the Cherenkov radiation in backward directions using one-dimensional photonic wires, Optics Express 18, 14165 (2010).
5. M.I. Ryazanov, A.A. Tishchenko, Clausius-Mossotti-Type relation for planar monolayers, JETP 103, 539 (2006).
6. M.I. Ryazanov, M.N. Strikhanov, A.A. Tishchenko, Local field effect in diffraction radiation from a periodical system of dielectric spheres, Nucl. Instr. and Meth. B 266, 3811 (2008).
7. D.Yu. Sergeeva, A.A. Tishchenko, M.N. Strikhanov, PR STAB 18, 052801 (2015).
Primary author
Ms
Darya Sergeeva
(National Research Nuclear University "MEPhI")
Co-authors
Dr
Alexey Tishchenko
(National Research Nuclear University "MEPhI")
Prof.
Mikhail Strikhanov
(National Research Nuclear University "MEPhI")
