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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 22 — Nov. 4, 2013
  • pp: 27219–27237

Mode-expansion theory for inhomogeneous meta-surfaces

Shiyi Xiao, Qiong He, Che Qu, Xin Li, Shulin Sun, and Lei Zhou  »View Author Affiliations


Optics Express, Vol. 21, Issue 22, pp. 27219-27237 (2013)
http://dx.doi.org/10.1364/OE.21.027219


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Abstract

Modeling meta-surfaces as thin metamaterial layers with continuously varying bulk parameters, we employed a rigorous mode-expansion theory to study the scattering properties of such systems. We found that a meta-surface with a linear reflection-phase profile could redirect an impinging light to a non-specular channel with nearly 100% efficiency, and a meta-surface with a parabolic reflection-phase profile could focus incident plane wave to a point image. Under certain approximations, our theory reduces to the local response model (LRM) established for such problems previously, but our full theory has overcome the energy non-conservation problems suffered by the LRM. Microwave experiments were performed on realistic samples to verify the key theoretical predictions, which match well with full-wave simulations.

© 2013 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(110.2760) Imaging systems : Gradient-index lenses
(240.0240) Optics at surfaces : Optics at surfaces
(260.2065) Physical optics : Effective medium theory
(160.3918) Materials : Metamaterials
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Metamaterials

History
Original Manuscript: September 6, 2013
Revised Manuscript: October 27, 2013
Manuscript Accepted: October 27, 2013
Published: November 1, 2013

Citation
Shiyi Xiao, Qiong He, Che Qu, Xin Li, Shulin Sun, and Lei Zhou, "Mode-expansion theory for inhomogeneous meta-surfaces," Opt. Express 21, 27219-27237 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-22-27219


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  44. For the ξ = 0.4k0 sample, a super cell contains 10 pairs of “H” (altogether 20 ones) in one supercell, with L1 values of those 10 pairs set as 1.3 mm, 2.68 mm, 2.98 mm, 3.14 mm, 3.24 mm, 3.36 mm, 3.48 mm, 3.66 mm, 4.08 mm, and 5.7 mm. For the ξ = 0.8k0 sample, a super cell contains 10 “H” in one super cell with L1 parameters the same as the case of ξ = 0.4k0.
  45. The gain of the employed double-ridged horn antenna is about 14dB~15dB in this frequency region.

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