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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 11 — May. 24, 2010
  • pp: 10931–10940

Monochromatic aberrations in resonant optical elements applied to a focusing multilevel reflectarray

James Ginn, Javier Alda, José Antonio Gómez-Pedrero, and Glenn Boreman  »View Author Affiliations

Optics Express, Vol. 18, Issue 11, pp. 10931-10940 (2010)

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The monochromatic aberrations produced by the phase distribution reflected by resonant sub-wavelength metallic structures are studied both analytically and numerically. Even for normal incidence, the angular dependence of the re-radiated wavefront disturbs the overall performance of the reflectarray. This effect is modelled as combination of a linear and a cubic dependence. A complete numerical simulation of a multilevel focusing reflectarray is performed using computational-electromagnetic and physical-optics-propagation methods. A modified Strehl ratio is defined to show the dependence of the focused spot behavior on aperture. The irradiance distribution is dependent on the polarization state. A small-aperture focusing reflectarray has been designed, fabricated, and tested. The irradiance distribution at the focusing plane is compared with the simulated one, showing a good agreement when residual wavefront aberrations are included.

© 2010 OSA

ToC Category:

Original Manuscript: February 11, 2010
Revised Manuscript: April 3, 2010
Manuscript Accepted: April 5, 2010
Published: May 10, 2010

James Ginn, Javier Alda, José Antonio Gómez-Pedrero, and Glenn Boreman, "Monochromatic aberrations in resonant optical elements applied to a focusing multilevel reflectarray," Opt. Express 18, 10931-10940 (2010)

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  1. B. Munk, “Finite Antenna Arrays and FSS,” Wiley (2006)
  2. J. S. Tharp, J. M. Lopez-Alonso, J. C. Ginn, C. F. Middleton, B. A. Lail, B. A. Munk, and G. D. Boreman, “Demonstration of a single-layer meanderline phase retarder at infrared,” Opt. Lett. 31(18), 2687–2689 (2006). [CrossRef] [PubMed]
  3. D. Berry, R. Malech, and W. Kennedy, “The reflectarray antenna,” IEEE Trans. Antenn. Propag. 11(6), 645–651 (1963). [CrossRef]
  4. J. Montgomery, “Scattering by an infinite periodic array of microstrip elements,” IEEE Trans. Antenn. Propag. 26(6), 850–854 (1978). [CrossRef]
  5. D. Pozar and T. Metzler, “Analysis of a reflectarray antenna using microstrip patches of variable size,” Electron. Lett. 29(8), 657–658 (1993). [CrossRef]
  6. F. González, J. Alda, J. Simón, J. Ginn, and G. Boreman, “The effect of metal dispersion on the resonance of antennas at infrared frequencies,” Infrared Phys. Technol. 52(1), 48–51 (2009). [CrossRef]
  7. J. Ginn, B. Lail, and G. Boreman, “Phase characterization of reflectarray elements at infrared,” IEEE Trans. Antenn. Propag. 55(11), 2989–2993 (2007). [CrossRef]
  8. J. Ginn, B. Lail, J. Alda, and G. Boreman, “Planar infrared binary phase reflectarray,” Opt. Lett. 33(8), 779–781 (2008). [CrossRef] [PubMed]
  9. F. Shen and A. Wang, “Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula,” Appl. Opt. 45(6), 1102–1110 (2006). [CrossRef] [PubMed]
  10. M. Young, “Zone plates and their aberrations,” J. Opt. Soc. Am. 62(8), 972–976 (1972). [CrossRef]
  11. H. Hristov, “Fresnel zones in wireless links, zone plates lenses and antennas,” Artech (2000)
  12. M. Y. Kiang, “Neural networks,” in Encyclopedia of Information Systems, Academic Press (2002), 303–315.
  13. J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. 50(2), 166–166 (1960). [CrossRef]
  14. J. S. Tharp, J. Alda, and G. D. Boreman, “Off-axis behavior of an infrared meander-line waveplate,” Opt. Lett. 32(19), 2852–2854 (2007). [CrossRef] [PubMed]
  15. V. Mahajan, “Aberration theory made simple,” SPIE Press (1991).
  16. Y. Li and E. Wolf, “Focal shift in diffracted converging spherical waves,” Opt. Commun. 39(4), 211–215 (1981). [CrossRef]

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