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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 16 — Aug. 3, 2009
  • pp: 13270–13282

Interaction of fast electron beam with photonic quasicrystals

Wei Zhong, Jinying Xu, and Xiangdong Zhang  »View Author Affiliations

Optics Express, Vol. 17, Issue 16, pp. 13270-13282 (2009)

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The interactions of two-dimensional 10-fold and 12-fold photonic quasicrystals with a moving electron beam have been studied by using the multiple-scattering method. The electron energy loss spectroscopy (EELS) and three-dimensional local density of states in these systems have been calculated. Some three-dimensional localized states in these defect-free two-dimensional systems have been found. It has been demonstrated that these localized states can be explored by means of the EELS.

© 2009 Optical Society of America

OCIS Codes
(160.4670) Materials : Optical materials
(260.2110) Physical optics : Electromagnetic optics
(300.2140) Spectroscopy : Emission

ToC Category:
Photonic Crystals

Original Manuscript: June 10, 2009
Revised Manuscript: July 17, 2009
Manuscript Accepted: July 17, 2009
Published: July 20, 2009

Wei Zhong, Jinying Xu, and Xiangdong Zhang, "Interaction of fast electron beam with photonic quasicrystals," Opt. Express 17, 13270-13282 (2009)

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  1. P. D. Nellist and S. J. Pennycook, "Subangstrom resolution by underfocused incoherent transmission electron microscopy," Phys. Rev. Lett. 81, 4156-4159 (1998). [CrossRef]
  2. R. H. Ritchie, "Plasma losses by fast electrons in thin films," Phys. Rev. 106, 874-881 (1957). [CrossRef]
  3. P. M. Echenique and J. B. Pendry, "Absorption profile at surfaces," J. Phys. C 8, 2936-2942 (1975). [CrossRef]
  4. N. Zabala, A. Rivacoba, and P. M. Echenique, "Energy loss of electrons traveling through cylindrical holes," Surf. Sci. 209, 465-480 (1989). [CrossRef]
  5. J. Xu and X. Zhang, "Cloaking radiation of moving electron beam and relativistic energy loss spectra," Opt. Express 17, 4758-4772 (2009). [CrossRef] [PubMed]
  6. R. Garcia-Molina, A. Gras-Marti, and R. H. Ritchie, "Excitation of edge modes in the interaction of electron beams with dielectric wedges," Phys. Rev. B 31, 121-126 (1985). [CrossRef]
  7. J. Nelayah, M. Kociak, O. Stephan, F. Garcia de Abajo, M. Tence, L. Henrard, D. Taverna, I. Pastoriza-Santos, L. M. Liz-Marzan, and C. Colliex, "Mapping surface plasmons on a single metallic nanoparticle," Nat. Phys. 3, 348-353 (2007). [CrossRef]
  8. T. L. Ferrell and P. M. Echenique, "Generation of surface excitations on dielectric spheres by an external electron beam," Phys. Rev. Lett. 55,1526-1529 (1985). [CrossRef] [PubMed]
  9. T. L. Ferrell, R. J. Warmack, V. E. Anderson, and P. M. Echenique, "Analytical calculation of stopping power for isolated small spheres," Phys. Rev. B 35, 7365-7371 (1987). [CrossRef]
  10. F. J. Garcıia de Abajo, "Relativistic energy loss and induced photon emission in the interaction of a dielectric sphere with an external electron beam," Phys. Rev. B 59, 3095-3107 (1999). [CrossRef]
  11. J. Xu, Y. Dong, and X. Zhang, "Electromagnetic interactions between a fast electron beam and metamaterial cloaks," Phys. Rev. E 78, 046601 (2008). [CrossRef]
  12. B. L. Illman, V. E. Anderson, R. J. Warmack, and T. L. Ferrell, "Spectrum of surface-mode contributions to the differential energy-loss probability for electrons passing by a spheroid," Phys. Rev. B 38, 3045-3049 (1988). [CrossRef]
  13. A. Rivacoba, N. Zabala, and P. M. Echenique, "Theory of energy loss in scanning transmission electron miceoscopy of supported small particles," Phys. Rev. Lett. 69, 3362-3365 (1992). [CrossRef] [PubMed]
  14. J. B. Pendry and L. Martın-Moreno, "Energy-loss by charged-particles in complex media," Phys. Rev. B 50, 5062-5073 (1994). [CrossRef]
  15. F. J. Garcia de Abajo and A. Howie, "Relativistic electron energy loss and electron-induced photon emission in inhomogeneous dielectrics," Phys. Rev. Lett. 80, 5180-5183 (1998). [CrossRef]
  16. F. J. Garcia de Abajo, "Interaction of radiation and fast electrons with clusters of dielectrics: A multiple scattering approach," Phys. Rev. Lett. 82, 2776-2779 (1999). [CrossRef]
  17. F. J. Garcia de Abajo, A.G. Pattantyus-Abraham, N. Zabala, A. Rivacoba, M. O. Wolf, and P. M. Echenique, "Cherenkov effect as a probe of photonic nanostructures," Phys. Rev. Lett. 91, 143902 (2003). [CrossRef] [PubMed]
  18. F. J. Garcia de Abajo, A. Rivacoba, N. Zabala, and P. M. Echenique, "Electron energy loss spectroscopy as a probe of two-dimensional photonic crystals," Phys. Rev. B 68, 205105 (2003). [CrossRef]
  19. T. Ochiai and 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). [CrossRef]
  20. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystal-Molding the Flow of Light, (Princeton University Press, Princeton, NJ, 1995).
  21. C. M. Soukoulis, Photonic Band Gap Materials, (Kluwer, Academic, Dordrecht,1996).
  22. K. Sakoda, Optical properties of photonic crystals, (Springer, 2001).
  23. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
  24. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
  25. S. John and J. Wang, "Quantum electrodynamics near a photonic band gap: Photon bound states and dressed atoms," Phys. Rev. Lett. 64, 2418-2421 (1991). [CrossRef]
  26. M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, "Optical limiting and switching of ultrashort pulses in nonlinear photonic band Gap materials," Phys. Rev. Lett. 73, 1368-1371 (1994). [CrossRef] [PubMed]
  27. J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, "Photonic Band Gap Guidance in Optical Fibers," Science 282, 1476-1478 (1998). [CrossRef] [PubMed]
  28. J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997). [CrossRef]
  29. Y. S. Chan, C.T. Chan, and Z. Y. Liu, "Photonic band gaps in two dimensional photonic quasicrystals," Phys. Rev. Lett. 80, 956-959 (1998). [CrossRef]
  30. M. E. Zoorob, M. D. B. Charleton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740-743 (2000). [CrossRef] [PubMed]
  31. X. Zhang, Z.-Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, R081105 (2001). [CrossRef]
  32. A. Della-Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, "Band gap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice," Phys. Rev. Lett. 94, 183903 (2005). [CrossRef] [PubMed]
  33. Z. Feng, X. Zhang, Y.Q. Wang, Z.Y. Li, B.Y. Cheng, and D.Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005). [CrossRef]
  34. Y. Wang, X. Hu, X. Xu, B. Cheng, and D. Zhang, "Localized modes in defect-free dodecagonal quasiperiodic photonic crystals," Phys. Rev. B 68, 165106 (2003). [CrossRef]
  35. A. Della-Villa, S. Enoch, G. Tayeb, F. Capolino, V. Pierro and V. Galdi, and, "Localized Modes in Photonic Quasicrystals with Penrose-Type Lattice," Opt. Express 14, 10021-10027 (2006). [CrossRef] [PubMed]
  36. K. Mnaymneh and R. C. Gauthier, Mode localization and band-gap formation in defect-free photonic quasicrystalsOpt. Express 14, 5089-5099 (2007). [CrossRef]
  37. D. P. Fussell, R. C. McPhedran, and C. Martijn de Sterke, "Three-dimensional Green’s tensor, local density of states, and spontaneous emission in finite two-dimensional photonic crystals composed of cylinders," Phys. Rev. E 70, 066608 (2004). [CrossRef]
  38. F. J. Garcıia de Abajo, and M. Kociak, "Probing the Photonic Local Density of States with Electron Energy Loss Spectroscopy," Phys. Rev. Lett. 100, 106804 (2008). [CrossRef]

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