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Applied Optics

Applied Optics


  • Vol. 38, Iss. 22 — Aug. 1, 1999
  • pp: 4743–4750

Cylindrical–type nanometer-resolution laser diffractive optical encoder

Chi-Tang Hsieh and Chih-Kung Lee  »View Author Affiliations

Applied Optics, Vol. 38, Issue 22, pp. 4743-4750 (1999)

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A new, to our knowledge, design for a cylindrical-type diffractive optical encoder is proposed. The wave-front aberrations induced by the power of the rotation disk in this encoder can be canceled out completely. Wave-front-aberration cancellation and desensitization to the grating misalignment are achieved by means of positioning the virtual point source, which was induced by the cylindrical grating with respect to two sets of modified telescopes with a magnification ratio of one: 1× telescopes. For evaluating the performance envelope of this newly designed optical system a code v-based optical-design software program was adopted to simulate the performance of the optical system. From tolerance-analysis results it was found that this newly developed cylindrical encoder system has the capability to compensate for most aberrations and, in addition, possesses a high tolerance for optical-component misalignment. For verifying the performance of the developed system the cylindrical diffractive encoder system was cross-referenced with a Hewlett-Packard Model HP-5529 laser interferometer positioning signal. The experimental results confirm the merits of this newly developed cylindrical encoder.

© 1999 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(090.1000) Holography : Aberration compensation
(220.4830) Optical design and fabrication : Systems design

Original Manuscript: February 1, 1999
Revised Manuscript: April 23, 1999
Published: August 1, 1999

Chi-Tang Hsieh and Chih-Kung Lee, "Cylindrical–type nanometer-resolution laser diffractive optical encoder," Appl. Opt. 38, 4743-4750 (1999)

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