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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2512–2514

Gradient refractive index square lenses. II. Imaging

Aimei Liu, Hao Lv, Jufang Tong, Xunong Yi, Qianguang Li, Xinmin Wang, and Yaoming Ding  »View Author Affiliations

JOSA A, Vol. 26, Issue 12, pp. 2512-2514 (2009)

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We establish theoretically the relationship between the lateral magnification m and the object distance L 0 for a gradient refractive index (GRIN) square lens and a GRIN rod lens. Through the linear fit of the object distance and the reciprocal of the magnification for different image locations, we use the imaging method to measure the central refractive index n 0 and focusing constant α of the GRIN square lens and the GRIN rod lens. The center refractive indices and focusing constant α of the GRIN square lens and the GRIN rod lens are 1.611 and 1.609, 0.0926 and 0.100, respectively. For the GRIN square lens and the GRIN rod lens, the measured central refractive indices are accurate to 10 3 .

© 2009 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(110.2760) Imaging systems : Gradient-index lenses
(230.3990) Optical devices : Micro-optical devices

ToC Category:
Imaging Systems

Original Manuscript: May 27, 2009
Revised Manuscript: September 28, 2009
Manuscript Accepted: October 4, 2009
Published: November 4, 2009

Aimei Liu, Hao Lv, Jufang Tong, Xunong Yi, Qianguang Li, Xinmin Wang, and Yaoming Ding, "Gradient refractive index square lenses. II. Imaging," J. Opt. Soc. Am. A 26, 2512-2514 (2009)

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  1. H. Lv, A. Liu, X. Yi, and Q. Li, “Numerical analysis of low chromatic aberration of a gradient refractive index rod lens,” Appl. Opt. 48, 584-590 (2009). [CrossRef] [PubMed]
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  12. Q. Y. Fu, Gradient Index Optics (Kexue Publishing Company, Beijing, 1991).

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