OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 9995–10001

Direct measurement of the Gouy phase shift for surface plasmon-polaritons

Wenqi Zhu, Amit Agrawal, and Ajay Nahata  »View Author Affiliations

Optics Express, Vol. 15, Issue 16, pp. 9995-10001 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (200 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We directly measure the Gouy phase shift of surface plasmonpolaritons as they evolve through the focus using terahertz (THz) timedomain spectroscopy. This is accomplished by using a semicircular groove inscribed in a metal foil to couple broadband freely propagating THz radiation to a converging propagating surface wave. Since the spatial properties of these waves are not Gaussian, we perform numerical simulations to determine the electric field distribution on the metal surface. The associated Gouy phase shift can be obtained from the transverse spatial distribution of the converging wave. We find excellent agreement between our measurements and expectations based on the numerical simulations. ©2007 Optical Society of America OCIS codes: (240.6680) Surface plasmons; (260.3090) Far-infrared; (120.5050) Phase measurements

© 2007 Optical Society of America

OCIS Codes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(240.6680) Optics at surfaces : Surface plasmons
(260.3090) Physical optics : Infrared, far

ToC Category:
Optics at Surfaces

Original Manuscript: June 4, 2007
Revised Manuscript: July 22, 2007
Manuscript Accepted: July 23, 2007
Published: July 24, 2007

Wenqi Zhu, Amit Agrawal, and Ajay Nahata, "Direct measurement of the Gouy phase shift for surface plasmon-polaritons," Opt. Express 15, 9995-10001 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. E. Ozbay, "Plasmonics: merging photonics and electronics at nanoscale dimensions," Science 311, 189-193 (2006). [CrossRef] [PubMed]
  2. R.P. Van Duyne, "Molecular plasmonics," Science 306, 985-986 (2004). [CrossRef] [PubMed]
  3. Z. Liu, J.M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, "Focusing surface plasmons with a plasmonic lens," NanoLett. 5, 1726-1729 (2005). [CrossRef]
  4. W. Nomura, M. Ohtsu, T. Yatsui, "Nanodot coupler with a surface plasmon polaritons condenser for optical far/near-field conversion," Appl. Phys. Lett. 86, 181108 (2005). [CrossRef]
  5. L. Yin, V.K. Vlasko-Vlasov, J. Pearson, J.M. Hiller, J. Hua, U. Welp, D.E. Brown, and C.W. Kimball, "Subwavelength focusing and guiding of surface plasmons," NanoLett. 5, 1399-1402 (2005). [CrossRef]
  6. I.I. Smoyaninov, Y.-J. Hung, and C.C. Davis, "Surface plasmon dielectric waveguides," Appl. Phys. Lett. 87, 241106 (2005). [CrossRef]
  7. I. P. Radko, S. I. Bozhevolnyi, A. B. Evlyukhin, and A. Boltasseva, "Surface plasmon polariton beam focusing with parabolic nanoparticle chains," Opt. Express 15, 6576-6582 (2007). [CrossRef] [PubMed]
  8. A. Drezet, A.L. Stepanov, H. Ditlbacher, A. Hohenau, B. Steinberger, F.R. Aussenegg, A. Leitner, and J.R. Krenn, "Surface plasmon propagation in an elliptical corral," Appl. Phys. Lett. 86, 074104 (2005). [CrossRef]
  9. T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, T.W. Ebbesen, "Enhanced light transmission through a single subwavelength aperture," Opt. Lett. 26, 1972-1974 (2001).
  10. H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, "Beaming light from a subwavelength aperture," Science 297, 220-222 (2002). [CrossRef]
  11. A. Nahata, R.A. Linke, T. Ishi, and K. Ohashi, "Enhanced nonlinear optical conversion using periodically nanostructured metal films," Opt. Lett. 28, 423-425 (2003). [CrossRef] [PubMed]
  12. M.J. Lockyear, A.P. Hibbins, J.R. Sambles, C.R. Lawrence, "Surface-topography-induced enhanced transmission and directivity of microwave radiation through a subwavelength circular metal aperture," Appl. Phys. Lett. 84, 2040-2042 (2004). [CrossRef]
  13. A. E. Siegman, Lasers (University Science Books, Sausalito, 1986).
  14. B.E.A. Saleh, M.C. Teich, Fundamentals of Photonics (Wiley Interscience, 1991). [CrossRef]
  15. A.B. Ruffin, J.V. Rudd, J.F. Whitaker, S. Feng, and H.G. Winful, "Direct observation of the Gouy phase shift with single-cycle terahertz pulses," Phys. Rev. Lett. 83, 3410-3413 (1999). [CrossRef]
  16. R.W. McGowan, R.A. Cheville, and D. Grischkowsky, "Direct observation of the Gouy phase shift in THz impulse ranging," Appl. Phys. Lett. 76, 670-672 (2000). [CrossRef]
  17. T. Feurer, N.S. Stoyanov, D.W. Ward, and K.A. Nelson, "Direct visualization of the Gouy phase by focusing phonon polaritons," Phys. Rev. Lett. 88, 257402 (2002). [CrossRef] [PubMed]
  18. N.C.R. Holme, B.C. Daly, M.T. Myaing, and T.B. Norris, "Gouy phase shift of single-cycle picosecond acoustic pulses," Appl. Phys. Lett. 83, 392-394 (2003). [CrossRef]
  19. A.A. Kolomenskii, S.N. Jerebtsov, and H.A. Schuessler, "Focal transformation and the Gouy phase shift of converging one-cycle surface acoustic waves excited by femtosecond laser pulses," Opt. Lett. 30, 2019-2021 (2005). [CrossRef] [PubMed]
  20. S. Feng and H.G. Winful, "Physical origin of the Gouy phase shift," Opt. Lett. 26, 485-487 (2001). [CrossRef]
  21. M. A. Ordal, L. L. Long, R. J. Bell, S. E. Bell, R. R. Bell, R. W. Alexander, Jr., and C. A. Ward, "Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared," Appl. Opt. 22, 1099-1120 (1983). [CrossRef] [PubMed]
  22. A. Agrawal, H. Cao, and A. Nahata, "Time-domain analysis of enhanced transmission through a single subwavelength aperture," Opt. Express 13, 3535-3542 (2005). [CrossRef] [PubMed]
  23. A. Agrawal, H. Cao, and A. Nahata, "Excitation and scattering of surface plasmon-polaritons on structured metal films and their application to pulse shaping and enhanced transmission," New J. Phys.  7, 249 (2005). [CrossRef]
  24. A. Nahata, A.S. Weling, and T.F. Heinz, "A wide band coherent terahertz spectroscopy system using optical rectification and electro-optic sampling," Appl. Phys. Lett. 69, 2321-2323 (1996). [CrossRef]
  25. J. A. Sanchez-Gil, " Surface defect scattering of surface plasmon polaritons: mirrors and light emitters," Appl. Phys. Lett. 73, 3509-3511 (1998). [CrossRef]
  26. W. Zhu and A. Nahata, "Electric field vector characterization of terahertz surface plasmons," Opt. Express 15, 5616-5624 (2007). [CrossRef] [PubMed]
  27. T.-I. Jeon and D. Grischkowsky, "THz Zenneck surface wave (THz surface plasmon) propagation on a metal sheet," Appl. Phys. Lett. 88, 061113 (2006). [CrossRef]

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.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited