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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3467–3477

Modeling liquid-crystal gradient-index lenses

T. C. Kraan, T. van Bommel, and R. A.M. Hikmet  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3467-3477 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003467


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Abstract

The optical properties of one-dimensional gradient-refractive-index lens arrays based on liquid crystals are studied. We find that it is quite possible, using theoretical methods, to predict angular distributions of the light emanating from such arrays when they are illuminated with collimated monochromatic light. We compare four theoretical methods in relation to experiments. The experimental data and the model, based on a combination of eikonal methods and diffraction, are in close correspondence. Features such as maximal beam width and number of extrema in the angular light distribution are discussed and explained theoretically. We also studied dispersion effects, both experimentally and theoretically, with good agreement between the two.

© 2007 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(080.2710) Geometric optics : Inhomogeneous optical media
(080.2720) Geometric optics : Mathematical methods (general)
(160.3710) Materials : Liquid crystals
(220.3630) Optical design and fabrication : Lenses
(230.3720) Optical devices : Liquid-crystal devices

History
Original Manuscript: July 6, 2007
Manuscript Accepted: August 30, 2007
Published: October 12, 2007

Citation
T. C. Kraan, T. van Bommel, and R. A. M. Hikmet, "Modeling liquid-crystal gradient-index lenses," J. Opt. Soc. Am. A 24, 3467-3477 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3467

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