OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 24 — Nov. 26, 2007
  • pp: 16222–16229

Analysis of Smith-Purcell radiation in optical region

Simpei Taga, Koji Inafune, and Eiichi Sano  »View Author Affiliations

Optics Express, Vol. 15, Issue 24, pp. 16222-16229 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (340 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Smith-Purcell radiation (SPR), emitted when an electron beam is traveling above a metallic grating, has attracted a lot of attention as a source of electromagnetic (EM) radiation in the millimeter to visible spectrum. We conducted a theoretical investigation of SPR in the optical region using a two-dimensional finite-difference time-domain (FDTD) method. The permittivity of metal was represented using the Drude model. During the simulation, we observed three types of EM radiations when an electron bunch passes above a metal grating. We think these three types of EM radiation were basic SPR, original surface plasmon polariton (SPP), and mimic-SPP, caused by the periodic grating structure. Our observations were in accordance with analytical models of original SPP and mimic-SPP EM radiation.

© 2007 Optical Society of America

OCIS Codes
(230.3990) Optical devices : Micro-optical devices
(230.6080) Optical devices : Sources
(240.6680) Optics at surfaces : Surface plasmons

ToC Category:
Optics at Surfaces

Original Manuscript: October 15, 2007
Revised Manuscript: November 20, 2007
Manuscript Accepted: November 20, 2007
Published: November 21, 2007

Simpei Taga, Koji Inafune, and Eiichi Sano, "Analysis of Smith-Purcell radiation in optical region," Opt. Express 15, 16222-16229 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. S. J. Smith and E. M. Purcell, "Visible light from localized surface charges moving across a grating," Phys Rev. 92, 1069 (1953). [CrossRef]
  2. P. M. van den Berg, "Smith-Purcell radiation from a line charge moving parallel to a reflection grating," J. Opt. Soc. Am. 63, 689-698 (1973). [CrossRef]
  3. P. M. van den Berg, "Smith-Purcell radiation from a point charge moving to a parallel reflection grating," J. Opt. Soc. Am. 63, 1589-1597 (1973).
  4. A. S. Kesar, M. Hess, S. E. Korbly, and R. J. Temkin, "Time-and frequency-domain models for Smith-Purcell radiation from a two-dimensional charge moving above a finite length grating," Phys. Rev. E 71, 016501 (2005). [CrossRef]
  5. J. Urata, M. Goldstein, M. F. Kimmitt, A. Naumov, C. Platt, and J. E. Walsh, "Superradiant Smith-Purcell emission," Phys. Rev. Lett. 80, 516-519 (1998). [CrossRef]
  6. L. Schachter and A. Ron, "Smith-Purcell free-electron laser," Phys Rev. A 40, 876- 896 (1989). [CrossRef] [PubMed]
  7. H. L. Andrews, C. A. Brau, "Gain of a Smith-Purcell free-electron laser," Phys. Rev. Special Topics 7, 070701 (2004).
  8. H. L. Andrews, C. A. Brau, and J. D. Jarvis, "Superradiant emission of Smith-Purcell radiation," Phys. Rev. Special Topics 8, 110702 (2005).
  9. Y. Shibata, S. Hasebe, K. Ishi, S. Ono, M. Ikezawa, T. Nakazato, M. Oyamada, S. Urasawa, T. Takahashi, T. Matsuyama, K. Kobayashi, and Y. Fujita, "Coherent Smith-Purcell radiation in the millimeter-wave region from a short-bunch beam of relativistic electrons," Phy. Rev. E 57, 1061-1074 (1998). [CrossRef]
  10. I. Shih, W. W. Salisbury, D. L. Masters, and D. B. Chang, "Measurement of Smith-Purcell radiation," J. Opt. Soc. Am. B 7, 345-350 (1990). [CrossRef]
  11. J. B. Pendry, L. Martin-Moreno, F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science 305, 847-848 (2004). [CrossRef] [PubMed]
  12. D. Li, Z. Yang, K. Imasaki, and G.-S. Park, "Particle-in-cell simulation of coherent and superradiant Smith-Purcell radiation," Phys. Rev. Special Topics 9, 040701 (2006).
  13. J. T. Donohue, "Simulation of Smith-Purcell radiation using a particle-in-cell code," Phys Pev.Special Topics 8, 060702 (2005).
  14. S. E. Korbly, A. S. Kesar, J. R. Sirigiri, and R. J. Temkin, "Observation of frequency-locked coherent terahertz Smith-Purcell radiation," Phys. Rev. Lett. 94, 054803 (2005). [CrossRef] [PubMed]
  15. T. Ochiai and K. Ohtaka, "Electron energy loss and Smith-Purcell radiation in two- and three-dimentional photonic crystals," Opt. Express 13, 7683-7697 (2005). [CrossRef] [PubMed]
  16. T. Ochiai and K. Ohtaka, "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals. II. photonic band effects," Phys. Rev. B 69, 125107 (2004). [CrossRef]
  17. M. Moskovits, I. Srnova-Sloufova, B. Vlckova, "Bimetallic Ag-Au nanoparticles: Extracting meaningful optical constants from the surface-plasmon extinction spectrum," J. Chem. Phys. 116, 10435-10446 (2002). [CrossRef]
  18. L. Cao, N. C. Panoiu and R. M. OsgoodJr., "Surface second-harmonic generation from surface plasmon waves scattered by metallic nanostructures," Phys. Rev. B 75, 205401 (2007). [CrossRef]
  19. J. Cesario, M. U. Gonzalez, S. Cheylan, W. L. Barnes, S. Enoch, and R. Quidant, "Coupling localized and extended plasmons to improve the light extraction through metal films," Opt. Express 15, 10533-10539 (2007). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» Media 1: GIF (2372 KB)     
» Media 2: GIF (2480 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited