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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 13, Iss. 11 — Nov. 1, 1974
  • pp: 2654–2661

Analytical Description of a Fabry-Perot Spectrometer. 3: Off-Axis Behavior and Interference Filters

G. Hernandez  »View Author Affiliations


Applied Optics, Vol. 13, Issue 11, pp. 2654-2661 (1974)
http://dx.doi.org/10.1364/AO.13.002654


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Abstract

A general expression is derived for a Fabry-Perot spectrometer when one or more of the functions entering into its description lack the inherent radial symmetry of the fringe pattern about the etalon optical axis. Calculations of the effects of these asymmetric functions applicable to densitometry of photographic fringe records and vidicon scanning of fringe patterns are given. The theory is also applied to interference filters in order to quantitatively explain their behavior as they are tilted in order to scan a spectrum. Rather simple approximations to the theory are also derived for interference filters that show that both the inverse of the peak transmission and the square of the width (normalized to the unbroadened filter) are proportional to the square of the product of the tilt and field of view angles over the width, in excellent agreement with experimental measurements.

© 1974 Optical Society of America

History
Original Manuscript: April 5, 1974
Published: November 1, 1974

Citation
G. Hernandez, "Analytical Description of a Fabry-Perot Spectrometer. 3: Off-Axis Behavior and Interference Filters," Appl. Opt. 13, 2654-2661 (1974)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-13-11-2654


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References

  1. G. Hernandez, Appl. Opt. 5, 1745 (1966). [CrossRef] [PubMed]
  2. G. Hernandez, Appl. Opt. 9, 1591 (1970). [CrossRef] [PubMed]
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  8. M. Abramowitz, I. A. Stegun, Eds. Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964), AMS 55.
  9. G. Hernandez, J. P. Turtle, in Aurora and Airglow, B. M. McCormac, Ed (Reinhold, New York, 1967), p. 435.
  10. M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1964), p. 70.
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