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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 33 — Nov. 20, 2008
  • pp: 6190–6201

Resolution analysis of a gradient-index rod and a gradient-index lens array

Xi Chen and Nicholas George  »View Author Affiliations

Applied Optics, Vol. 47, Issue 33, pp. 6190-6201 (2008)

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The physical optics analysis of a gradient-index (GRIN) rod and a GRIN lens array with aberrations is presented. We investigated the optical path length and aberration of a GRIN rod without definition of the stop plane. We also defined an effective aberration transmission function to include aberrations into physical optics analysis. Our theoretical results of impulse responses agree excellently with experiments. For a single GRIN rod, we obtained a theoretical value of 10.3 μm and an experimental value of 10.4 μm for the full width at half-maximum of the intensity point-spread function. For a GRIN array, the theoretical value of 19.2 μm and the experimental measurement of 19.9 μm agree to within 4%. This physical optics methodology with aberrations included can be applied to optical design software. The resolution difference in xerographic process for test material along the “parallel-to-perpendicular” directions is observed. It agrees with the theoretical result for the intensity impulse response of the GRIN array calculated with a second-order correction.

© 2008 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(110.2760) Imaging systems : Gradient-index lenses
(110.2990) Imaging systems : Image formation theory
(080.5692) Geometric optics : Ray trajectories in inhomogeneous media

ToC Category:
Imaging Systems

Original Manuscript: July 23, 2008
Revised Manuscript: September 4, 2008
Manuscript Accepted: October 8, 2008
Published: November 14, 2008

Xi Chen and Nicholas George, "Resolution analysis of a gradient-index rod and a gradient-index lens array," Appl. Opt. 47, 6190-6201 (2008)

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