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Applied Optics

Applied Optics


  • Vol. 37, Iss. 16 — Jun. 1, 1998
  • pp: 3506–3514

Modeling of a converging gradient-index lens with variable focal length in a lanthanum-modified lead zirconate titanate ceramic cylinder with a lateral multielectrode structure

Mykola Kulishov  »View Author Affiliations

Applied Optics, Vol. 37, Issue 16, pp. 3506-3514 (1998)

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A mathematical model is presented to characterize the performance of a lanthanum-modified lead zirconate titanate electro-optical cylindrical structure with an arbitrary number N of lateral electrodes switched with a series of voltages V0 and V0 + ΔV. The method yields a solution that can be written as a sum of numerical and analytical components, and the contribution of numerical components becomes increasingly smaller as the electrode wrapping angle is decreasing below π/3N. The effects of the electrode wrapping angle and the switching voltages on the induced refractive-index distribution and electrode capacitance are analyzed. It is shown that the design offers a simple and compact structure that performs dynamic light diverging with a focal length that can be controlled by the applied voltage. The possibility of light steering is considered for a two-electrode structure.

© 1998 Optical Society of America

OCIS Codes
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2350) Fiber optics and optical communications : Fiber optics imaging
(110.2760) Imaging systems : Gradient-index lenses
(120.3620) Instrumentation, measurement, and metrology : Lens system design
(130.3120) Integrated optics : Integrated optics devices
(160.2100) Materials : Electro-optical materials

Original Manuscript: December 1, 1997
Revised Manuscript: February 12, 1998
Published: June 1, 1998

Mykola Kulishov, "Modeling of a converging gradient-index lens with variable focal length in a lanthanum-modified lead zirconate titanate ceramic cylinder with a lateral multielectrode structure," Appl. Opt. 37, 3506-3514 (1998)

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