OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 12 — Jun. 9, 2008
  • pp: 9073–9086

Optical surface waves over metallo-dielectric nanostructures: Sommerfeld integrals revisited

Bora Ung and Yunlong Sheng  »View Author Affiliations


Optics Express, Vol. 16, Issue 12, pp. 9073-9086 (2008)
http://dx.doi.org/10.1364/OE.16.009073


View Full Text Article

Enhanced HTML    Acrobat PDF (395 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The asymptotic closed-form solution to the fundamental diffraction problem of a linear horizontal Hertzian dipole radiating over the metallo-dielectric interface is provided. For observation points just above the interface, we confirm that the total surface near-field is the sum of two components: a long-range surface plasmon polariton and a short-range radiative cylindrical wave. The relative phases, amplitudes and damping functions of each component are quantitatively elucidated through simple analytic expressions for the entire range of propagation: near and asymptotic. Validation of the analytic solution is performed by comparing the predictions of a dipolar model with recently published data.

© 2008 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(240.6680) Optics at surfaces : Surface plasmons
(240.6690) Optics at surfaces : Surface waves
(260.3910) Physical optics : Metal optics
(310.2790) Thin films : Guided waves
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Optics at Surfaces

History
Original Manuscript: April 8, 2008
Revised Manuscript: May 27, 2008
Manuscript Accepted: May 30, 2008
Published: June 4, 2008

Citation
Bora Ung and Yunlong Sheng, "Optical surface waves over metallo-dielectric nanostructures: Sommerfeld integrals revisited," Opt. Express 16, 9073-9086 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-12-9073


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998). [CrossRef]
  2. H. J. Lezec and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004). [CrossRef] [PubMed]
  3. G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O???Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave," Nat. Physics 2, 262-267 (2006). [CrossRef]
  4. G. Gay, O. Alloschery, B. Viaris de Lesegno, J. Weiner, and H. J. Lezec, "Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry," Phys. Rev. Lett. 96, 213901 (2006). [CrossRef] [PubMed]
  5. H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. ???t Hooft, D. Lenstra and E. R. Eliel, "Plasmon-assisted two-slit transmission: Young???s experiment revisited," Phys. Rev. Lett. 94, 053901 (2005). [CrossRef] [PubMed]
  6. P. Lalanne and J. P. Hugonin, "Interaction between optical nano-objects at metallo-dielectric interfaces," Nat. Physics 2, 551-556 (2006). [CrossRef]
  7. L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, "Near-field analysis of surface waves launched at nanoslit apertures," Phys. Rev. Lett. 98, 153902 (2007). [CrossRef] [PubMed]
  8. Y. Xie, A. R. Zakharian, J. V. Moloney, and M. Mansuripur, "Transmission of light through slit apertures in metallic films," Opt. Express 12, 6106-6121 (2004). [CrossRef] [PubMed]
  9. B. Ung and Y. Sheng, "Interference of surface waves in a metallic nanoslit," Opt. Express 15, 1182-1190 (2007). [CrossRef] [PubMed]
  10. G. Lévêque, O. J. F. Martin, and J. Weiner, "Transient behavior of surface plasmon polaritons scattered at a subwavelength groove," Phys. Rev. B. 76, 155418 (2007). [CrossRef]
  11. 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," Nano. Lett. 5, 1399-1402 (2005). [CrossRef]
  12. R. E. Collin, "Hertzian dipole radiating over a lossy earth or sea: some early and late 20th-century controversies," IEEE Antennas Propag. Mag. 46, 64-79 (2004). [CrossRef]
  13. R. W. P. King, M. Owens, and T. T. Wu, Lateral Electromagnetic Waves (Springer-Verlag, New York, 1992). [CrossRef]
  14. P. C. Clemmow, "A note on the diffraction of a cylindrical wave by a perfectly conducting half-plane," Q. J. Mech. Appl. Math. 3, 377-384 (1950). [CrossRef]
  15. M. Born and E. Wolf, Principles of optics 7th ed, (Cambridge University Press, Oxford, 1999), Chap. 8.9.
  16. M. Besbes, J. P. Hugonin, P. Lalanne, S. van Haver, O. T. A. Janssen, A. M. Nugrowati, M. Xu, S. F. Pereira, H. P. Urbach, A. S. van de Nes, P. Bientsman, G. Granet, A. Moreau, S. Helfert, M. Sukharev, T. Seideman, F. I. Baida, B. Guizal, and D. Van Labeke, "Numerical analysis of a slit-groove diffraction problem," J. Eur. Opt. Soc. 2, 07022 (2007). [CrossRef]
  17. P. Lalanne, J. P. Hugonin, and J. C. Rodier, "Theory of surface plasmon generation at nanoslit apertures," Phys. Rev. Lett. 95, 263902 (2005). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited