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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 22 — Oct. 30, 2006
  • pp: 10220–10227

Optical transmission at oblique incidence through a periodic array of sub-wavelength slits in a metallic host

Yong Xie, Armis R. Zakharian, Jerome V. Moloney, and Masud Mansuripur  »View Author Affiliations

Optics Express, Vol. 14, Issue 22, pp. 10220-10227 (2006)

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Using the Bloch modes of a periodic, semi-infinite array of slits in a metallic host, we study the transmission of obliquely incident plane-waves through sub-wavelength slits. Matching the tangential E- and H-fields at the entrance facet of the periodic structure yields the complex amplitudes of the various Bloch modes, which exist and propagate within the slit array independently of each other. The computational scheme is robust, convergence is rapid, and a good match at the boundaries is obtained in every case. The regions examined in some detail include the vicinity of the Wood anomaly (where new diffraction orders appear/disappear on the horizon), the neighborhood of a point where surface plasmon polaritons (SPPs) are excited, and an ordinary situation in which the incidence angle is far from the angles that invoke Wood’s anomaly or cause the excitation of SPPs. Field distributions and energy flow diagrams in and around the slits reveal the existence of transmission minima (and reflection maxima) at incidence angles associated with the excitation of SPPs.

© 2006 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1960) Diffraction and gratings : Diffraction theory
(240.5420) Optics at surfaces : Polaritons
(240.6680) Optics at surfaces : Surface plasmons
(260.3910) Physical optics : Metal optics
(310.2790) Thin films : Guided waves

ToC Category:
Diffraction and Gratings

Original Manuscript: August 22, 2006
Manuscript Accepted: September 22, 2006
Published: October 30, 2006

Yong Xie, Armis R. Zakharian, Jerome V. Moloney, and Masud Mansuripur, "Optical transmission at oblique incidence through a periodic array of sub-wavelength slits in a metallic host," Opt. Express 14, 10220-10227 (2006)

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