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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 2 — Jan. 16, 2012
  • pp: 1320–1329

Analysis of focal-shift effect in planar metallic nanoslit lenses

Yang Gao, Jianlong Liu, Xueru Zhang, Yuxiao Wang, Yinglin Song, Shutian Liu, and Yan Zhang  »View Author Affiliations

Optics Express, Vol. 20, Issue 2, pp. 1320-1329 (2012)

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A theoretical analysis based on scalar diffraction theory about the recently reported focal-shift phenomena in planar metallic nanoslit lenses is presented. Under Fresnel approximation, an axial intensity formula is obtained, which is used to analyze the focal performance in the far field zone of lens. The relative focal shift is totally dependent on the Fresnel number only. The influences of the lens size, preset focal length and incident wavelength can be attributed to the change of Fresnel number. The total phase difference of the lens is approximately equal to the Fresnel number multiplied by π. Numerical simulations performed using finite-difference time-domain (FDTD) and near-far field transformation method are in agreement with the theoretical analysis. Using the theoretical formula assisted by simple numerical method, we provide predictions on the focal shift for the previous literatures.

© 2012 OSA

OCIS Codes
(220.3630) Optical design and fabrication : Lenses
(240.6680) Optics at surfaces : Surface plasmons
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Optics at Surfaces

Original Manuscript: November 14, 2011
Revised Manuscript: December 25, 2011
Manuscript Accepted: December 25, 2011
Published: January 6, 2012

Yang Gao, Jianlong Liu, Xueru Zhang, Yuxiao Wang, Yinglin Song, Shutian Liu, and Yan Zhang, "Analysis of focal-shift effect in planar metallic nanoslit lenses," Opt. Express 20, 1320-1329 (2012)

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