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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: Franco Gori
  • Vol. 28, Iss. 11 — Nov. 1, 2011
  • pp: 2332–2339

Off-plane anastigmatic imaging in Offner spectrometers

Xesús Prieto-Blanco, Héctor González-Nuñez, and Raúl de la Fuente  »View Author Affiliations


JOSA A, Vol. 28, Issue 11, pp. 2332-2339 (2011)
http://dx.doi.org/10.1364/JOSAA.28.002332


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Abstract

In this paper, the imaging performance of an Offner concentric imaging spectrometer is analyzed when the spectrometer entrance slit is disposed arbitrarily on the plane that is parallel to the grating grooves and contains the common center of curvature. Astigmatism-corrected designs are obtained for off-plane incidence on the grating if one point on the slit is located on the Rowland circle of the primary mirror. In this case, the combined system of primary mirror plus diffraction grating provides two astigmatic line images oriented parallel and orthogonal to the plane of diffraction, with the former located on the same plane as the slit. Consequently, these images can be brought to a single focus on this plane by the tertiary mirror if its radius of curvature is chosen properly. In addition, coma aberration is simultaneously removed. These results can be applied to the design of two-mirror or three-mirror spectrometers, generalizing the concept of the best imaging circle and providing solutions to get anastigmatic imaging for two object points and two wavelengths.

© 2011 Optical Society of America

OCIS Codes
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(220.1000) Optical design and fabrication : Aberration compensation
(220.2740) Optical design and fabrication : Geometric optical design

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 28, 2011
Revised Manuscript: September 27, 2011
Manuscript Accepted: September 27, 2011
Published: October 26, 2011

Citation
Xesús Prieto-Blanco, Héctor González-Nuñez, and Raúl de la Fuente, "Off-plane anastigmatic imaging in Offner spectrometers," J. Opt. Soc. Am. A 28, 2332-2339 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-11-2332


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References

  1. M. P. Chrisp, “Convex diffraction grating imaging spectrometer,” U.S. patent 5,880,834 (9 March 1999).
  2. X. Prieto-Blanco, C. Montero-Orille, B. Couce, and R. de la Fuente, “Analytical design of an Offner imaging spectrometer,” Opt. Express 14, 9156–9168 (2006). [CrossRef] [PubMed]
  3. R. L. Lucke, “Out-of-plane dispersion in an Offner spectrometer,” Opt. Eng. 46, 073004 (2007). [CrossRef]
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  11. X. Prieto-Blanco, C. Montero-Orille, H. González-Núñez, M. D. Mouriz, E. López Lago, and R. de la Fuente, “Imaging with classical spherical diffraction gratings: the quadrature configuration,” J. Opt. Soc. Am. A 26, 2400–2409 (2009). [CrossRef]
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