volume | PIER Journals

Abstract

We numerically studied the spectrum of Cherenkov optical radiation by a nonrelativistic anisotropic electron bunch crossing 3D dispersive metamaterial. A practically important case when such a medium is described by Drude model is investigated in details. In our theory only parameters of a metamaterial are fixed. The frequency spectrum of internal excitations is left to be defined as a result of the numerical simulation. It is found that a periodic field structure coupled to plasmonic excitations is arisen when the dispersive refractive index of a metamaterial becomes negative. In this case the reversed Cherenkov radiation is observed.

1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., Vol. 10, 509, 1968. [Usp. Fiz. Nauk., Vol. 92, 517, 1967].
doi:10.1070/PU1968v010n04ABEH003699 Google Scholar

2. Shalaev, V. M., "Optical negative-index metamaterials," Nature Photonics, Vol. 1, 41-48, 2007.
doi:10.1038/nphoton.2006.49 Google Scholar

3. Soukoulis, C. M. and M. Wegener, "Past achievements and future challenges in the development of three-dimensional photonic metamaterials," Nature Photonics, Vol. 5, 523-530, 2011. Google Scholar

4. Hess, O., J. B. Pendry, S. A. Maier, R. F. Oulton, J. M. Hamm, and K. L. Tsakmakidis, "Active nanoplasmonic metamaterials," Nature Materials, Vol. 11, 573-584, 2012.
doi:10.1038/nmat3356 Google Scholar

5. Chen, H., C. T. Chan, and P. Sheng, "Transformation optics and metamaterials," Nature Materials, Vol. 9, 387-396, 2010.
doi:10.1038/nmat2743 Google Scholar

6. Gordon, J. A. and R. W. Ziolkowski, "CNP optical metamaterials," Opt. Express, Vol. 16, 6692-6716, 2008.
doi:10.1364/OE.16.006692 Google Scholar

7. Milton, G. W., "Realizability of metamaterials with prescribed electric permittivity and magnetic permeability tensors," New Journal of Physics, Vol. 12, 033035, 2010.
doi:10.1088/1367-2630/12/3/033035 Google Scholar

8. Podolskiy, V., A. Sarychev, and V. Shalaev, "Plasmon modes and negative refraction in metal nanowire composites," Optics Express, Vol. 11, No. 7, 735-745, 2003.
doi:10.1364/OE.11.000735 Google Scholar

9. Shalaev, V. M., W. Cai, U. K. Chettiar, H.-K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, "Negative index of refraction in optical metamaterials," Opt. Lett., Vol. 30, No. 24, 3356-3358, 2005.
doi:10.1364/OL.30.003356 Google Scholar

10. Burlak, G., A. Díaz-De-Anda, R. S. Salgado, and J. P. Ortega, "Narrow transmittance peaks in a multilayered microsphere with a quasiperiodic left-handed stack," Optics Commun., Vol. 283, No. 19, 3569-3577, 2010.
doi:10.1016/j.optcom.2010.05.041 Google Scholar

11. Burlak, G. and A. Díaz-De-Anda, "The field confinement, narrow transmission resonances and Green function of a multilayered microsphere with metamaterial defects," Journal of Atomic, Molecular, and Optical Physics, Vol. 2011, 1-13, 2011.
doi:10.1155/2011/217020 Google Scholar

12. Xiao, S., V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, "Loss-free and active optical negative-index metamaterials," Nature, Vol. 466, 735-738, 2010.
doi:10.1038/nature09278 Google Scholar

13. Deb, S. and S. Dutta Gupta, "Absorption and dispersion in metamaterials: Feasibility of device applications," J. Phys., Vol. 75, No. 5, 2010. Google Scholar

14. Cherenkov, P. A., "Visible emission of clean liquids by action of γ-radiation," Dokl. Akad. Nauk., Vol. 2, 451-454, 1934. Google Scholar

15. Averkov, Yu. O. and V. M. Yakovenko, "Cherenkov radiation by an electron bunch that moves in a vacuum above a left-handed material," Phys. Rev. B, Vol. 79, 193402-193412, 2005. Google Scholar

16. Duan, Z., B.-I. Wu, S. Xi, H. Chen, and M. Chen, "Research progress in reversed Cherenkov radiation in double-negative metamaterials," Progress In Electromagnetics Research, Vol. 90, 75-87, 2009.
doi:10.2528/PIER08121604 Google Scholar

17. Xi, S., H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, "Experimental verification of reversed cherenkov radiation in left-handed metamaterial," Phys. Rev. Lett., Vol. 103, 194801, 2009.
doi:10.1103/PhysRevLett.103.194801 Google Scholar

18. Averkov, Yu. O., A. V. Kats, and V. M. Yakovenko, "Electron beam excitation of left-handed surface electromagnetic waves at artificial interfaces," Phys. Rev. B, Vol. 72, 205110-205114, 2005.
doi:10.1103/PhysRevB.72.205110 Google Scholar

19. Zhou, J., Z. Duan, Y. Zhang, M. Hu, W. Liu, P. Zhang, and S. Liu, "Numerical investigation of Cherenkov radiations emitted by an electron beam bunch in isotropic double-negative metamaterials," Nuclear Instruments and Methods in Physics Research Section A, Vol. 654, No. 1, 475-480, 2011.
doi:10.1016/j.nima.2011.07.004 Google Scholar

20. Duan, Z., Y. Wang, X. Mao, W.-X. Wang, and M. Chen, "Experimental demonstration of double-negative metamaterials partially filled in a circular waveguide," Progress In Electromagnetics Research, Vol. 121, 215-224, 2011.
doi:10.2528/PIER11090502 Google Scholar

21. Duan, Z., C. Guo, and M. Chen, "Enhanced reversed Cherenkov radiation in a waveguide with double-negative metamaterials," Opt. Express, Vol. 19, 13825-13830, 2011.
doi:10.1364/OE.19.013825 Google Scholar

22. Jackson, J. D., Classical Electrodynamics, John Willey and Sons, 1975.

23. Oughstun, K. E., Electromagnetic and Optical Pulse Propagation 2: Temporal Pulse Dynamics in Dispersive, Attenuative Media (Springer Series in Optical Sciences), Springer, 2009.

24. Yeh, P., Optical Waves in Layered Media, John Wiley and Sons, New York, 1988.

25. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, 2005.

26. Schneider, J., Understanding the Finite-Difference Time-Domain Method, www.eecs.wsu.edu/»schneidj/ufdtd, 2010.

27. Afanasiev, G. N., Cherenkov Radiation in a Dispersive Medium, Vavilov-Cherenkov and Synchrotron Radiation, Fundamental Theories of Physics, Kluwer Academic Publishers, 2004.

28. Ziolkowski, R. W., "Superluminal transmission of information through an electromagnetic metamaterial," Phys. Rev. E, Vol. 63, 046604, 2001.
doi:10.1103/PhysRevE.63.046604 Google Scholar

Dr. Gennadiy Burlak