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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. 29, Iss. 4 — Apr. 1, 2012
  • pp: 442–449

Pupil aberrations in Offner spectrometers

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


JOSA A, Vol. 29, Issue 4, pp. 442-449 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000442


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Abstract

The light path function (LPF) of an Offner spectrometer is presented. The evaluation of the LPF of this spectrometer enables its imaging properties to be studied for arbitrary object and image positions, while avoiding the more complicated analysis of intermediate images generated by the diffraction grating, which is often involved. A power series expansion of the LPF on the grating coordinates directly determines pupil aberrations of the generated spectrum and facilitates the search for configurations with small low-order aberrations. This analysis not only confirms the possibility of reducing low-order aberrations in Rowland-type mounts, namely astigmatism and coma, as predicted in previous studies, but also proves that all third-order terms in the series expansion of the aberration function can be canceled at the image of the design point and for the corresponding design wavelength, when the design point is located on a plane orthogonal to the optical axis. Furthermore, fourth-order terms are computed and shown to represent the most relevant contribution to image blurring. Third- and fourth-order aberrations are also evaluated for Rowland mounts with the design point located outside the aforementioned plane. The study described in this manuscript is not restricted to small angles of incidence, and, therefore, it goes beyond Seidel and Buchdahl aberrations.

© 2012 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: November 22, 2011
Revised Manuscript: January 4, 2012
Manuscript Accepted: January 5, 2012
Published: March 12, 2012

Citation
Héctor González-Núñez, Xesús Prieto-Blanco, and Raúl de la Fuente, "Pupil aberrations in Offner spectrometers," J. Opt. Soc. Am. A 29, 442-449 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-442

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