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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

  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 2690–2694

Effective-focal-length calculations and measurements for a radial diffraction grating

Jeffrey A. Koch, Steven Cui, and Michael A. McNeill  »View Author Affiliations


JOSA A, Vol. 16, Issue 11, pp. 2690-2694 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002690


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Abstract

As the technology for manufacturing radial diffraction gratings improves, there will be increasing interest in using high-groove-density radial gratings as scales for precision interferometer-type rotary encoders. If efficiency in optical designs is to be optimized, the focusing properties of these gratings must be understood. We use analytical geometry to investigate the focusing properties of a radial diffraction grating illuminated by laser light diverging from a pointlike source. We compare the results with experiments that we performed with a state-of-the-art custom radial grating, and we obtain excellent agreement with our calculations, which improve on earlier analytical work.

© 1999 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(080.2720) Geometric optics : Mathematical methods (general)
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(230.3120) Optical devices : Integrated optics devices

History
Original Manuscript: March 4, 1999
Revised Manuscript: June 10, 1999
Manuscript Accepted: June 10, 1999
Published: November 1, 1999

Citation
Jeffrey A. Koch, Steven Cui, and Michael A. McNeill, "Effective-focal-length calculations and measurements for a radial diffraction grating," J. Opt. Soc. Am. A 16, 2690-2694 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-11-2690

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