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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 26 — Dec. 22, 2008
  • pp: 21903–21913

Rigorous solution for the transient surface plasmon polariton launched by subwavelength slit scattering

Yann Gravel and Yunlong Sheng  »View Author Affiliations

Optics Express, Vol. 16, Issue 26, pp. 21903-21913 (2008)

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We demonstrate by a rigorous theoretical calculation the transient Surface Plasmon Polariton (SPP) mode, which is launched by a beam impinging onto a sub-wavelength real metallic slit in addition to the conventional long-range SPP. Different from the previous works, we find a direct closed-form solution of the Maxwell’s equations by the Sommerfeld branch-cut integrals without approximation. The transient wave is a SPP with a complex-valued envelope, expressed as the exponential integral. Its rapid damping may be asymptotically approximated as -ln(x), 1/x1/2 and 1/x, respectively, depending on the distance range away from the slit. The transit SPP may be considered as a cylindrical wave, which is radiated from the slit, takes the SPP propagation constant at the interface and propagates with additional drop due to the loss of energy pumped to the SPP.

© 2008 Optical Society of America

OCIS Codes
(240.6680) Optics at surfaces : Surface plasmons
(240.6690) Optics at surfaces : Surface waves
(260.2110) Physical optics : Electromagnetic optics
(260.3910) Physical optics : Metal optics

ToC Category:
Optics at Surfaces

Original Manuscript: November 5, 2008
Revised Manuscript: December 8, 2008
Manuscript Accepted: December 10, 2008
Published: December 17, 2008

Yann Gravel and Yunlong Sheng, "Rigorous solution for the transient surface plasmon polariton launched by subwavelength slit scattering," Opt. Express 16, 21903-21913 (2008)

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