OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 35, Iss. 25 — Sep. 1, 1996
  • pp: 5170–5176

Asymmetric line shapes of the instrumental function found in two-étalon systems with a finite field of view

Tadao Aoki, Masashi Fukabori, and Teruo Aoki  »View Author Affiliations

Applied Optics, Vol. 35, Issue 25, pp. 5170-5176 (1996)

View Full Text Article

Enhanced HTML    Acrobat PDF (378 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The instrumental functions of the two-étalon system with a finite field of view have been examined in cases in which both étalons are inclined against the optical axis. The average transmittances of the rays in the finite field of view are obtained by numerical integration. It is shown that the line shape of the instrumental function becomes asymmetric, varying not only with the zenith angles of the symmetry axes of the two étalons but also with their azimuth angles. Experimental measurements of line shapes with the He–Ne laser show the asymmetric feature predicted by the calculation. The simulation calculations for the two-pass étalon system are also carried out and show a drastic discrepancy in transmittances between azimuth angle differences of 0° and 180°.

© 1996 Optical Society of America

Original Manuscript: October 12, 1995
Revised Manuscript: December 18, 1995
Published: September 1, 1996

Tadao Aoki, Masashi Fukabori, and Teruo Aoki, "Asymmetric line shapes of the instrumental function found in two-étalon systems with a finite field of view," Appl. Opt. 35, 5170-5176 (1996)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. M. Lindsay, S. Burgess, I. W. Shepherd, “Correction of Brillouin linewidths measured by multipass Fabry–Perot spectroscopy,” Appl. Opt. 16, 1404–1407 (1977). [CrossRef] [PubMed]
  2. C. Roychoudhuri, M. Hercher, “Stable multipass Fabry–Perot interferometer: design and analysis,” Appl. Opt. 16, 2514–2520 (1977). [CrossRef] [PubMed]
  3. R. E. Loughhead, R. J. Bray, N. Brown, “Instrumental profiles of a triple Fabry–Perot interferometer for use in solar spectroscopy,” Appl. Opt. 17, 415–419 (1978). [CrossRef] [PubMed]
  4. L. N. Durvasula, R. W. Gammon, “Pressure-scanned three-pass Fabry–Perot interferometer,” Appl. Opt. 17, 3298–3303 (1978). [CrossRef] [PubMed]
  5. D. Rees, P. A. Rounce, I. McWhirter, A. F. D. Scott, A. H. Green-away, W. Towison, “Observations of atmospheric absorption lines from a stabilized balloon platform and measurements of stratospheric winds,” J. Phys. E 15, 191–206 (1982). [CrossRef]
  6. G. Hernandez, Fabry-Perot Interferometer (Cambridge U.P., Cambridge, UK, 1986).
  7. G. Hernandez, “Afocal coupled étalons. DEM: a high-resolution double-étalon modulator spectrometer,” Appl. Opt. 26, 4857–4869 (1987). [CrossRef] [PubMed]
  8. W. R. Skinner, P. B. Hays, V. J. Abreu, “Optimization of a triple étalon interferometer,” Appl. Opt. 26, 2817–2827 (1987). [CrossRef] [PubMed]
  9. G. Hernandez, F. G. McCormac, “Afocal coupled étalons: experimental confirmation of a high-resolution double-étalon modulator,” Appl. Opt. 27, 3492–3495 (1988). [CrossRef] [PubMed]
  10. J. M. Alvarez, J. A. Valles, “Determination of a Fabry–Perot multipass interferometer instrumental function,” Appl. Opt. 28, 2191–2193 (1989). [CrossRef] [PubMed]
  11. T. Aoki, M. Fukabori, Te. Aoki, “Trace gas remote sounding from near IR sun glint observation with tunable étalons,” in Proceedings of the NATO Advanced Research Workshop: High Spectral Resolution Infrared Remote Sensing for Earth’s Weather and Climate Studies (Springer-Verlag, Berlin, 1994), pp. 309–322.
  12. E. D. Palik, H. Boukari, R. W. Gammon, “Line-shape studies for single- and triple-pass Fabry–Perot interferometer systems,” Appl. Opt. 34, 58–68 (1995). [CrossRef] [PubMed]
  13. H. Boukari, E. D. Palik, R. W. Gammon, “Closed-form expressions to fit data obtained with a multipass Fabry–Perot interferometer,” Appl. Opt. 34, 69–86 (1995). [CrossRef] [PubMed]
  14. T. L. Killeen, P. B. Hays, B. C. Kennedy, D. Rees, “Stable and rugged étalon for the Dynamics Explorer Fabry–Perot interferometer. 2: Performance,” Appl. Opt. 21, 3903–3912 (1982). [CrossRef] [PubMed]
  15. G. J. Sloggett, “Fringe broadening in Fabry–Perot interferometers,” Appl. Opt. 23, 2427–2432 (1984). [CrossRef] [PubMed]
  16. P. A. Wilksch, “Instrument function of the Fabry–Perot spectrometer,” Appl. Opt. 24, 1502–1511 (1985). [CrossRef] [PubMed]
  17. T. Martinez-Herrero, P. M. Mejias, E. Bernabeu, “Transmitted amplitude by a Fabry–Perot interferometer with random surface defects,” Appl. Opt. 24, 315–316 (1985). [CrossRef] [PubMed]
  18. D. P. Mahapatra, S. K. Mattoo, “Exact evaluation of the transmitted amplitude for a Fabry–Perot interferometer with surface defects,” Appl. Opt. 25, 1646–1649 (1986). [CrossRef] [PubMed]
  19. G. Hernandez, “Analytical description of a Fabry–Perot photoelectric spectrometer,” Appl. Opt. 5, 1745–1748 (1966). [CrossRef] [PubMed]
  20. G. Hernandez, “Analytical description of a Fabry–Perot photoelectric spectrometer. 3: Off-axis behavior and interference filters,” Appl. Opt. 13, 2654–2661 (1974). [CrossRef] [PubMed]
  21. T. L. Killeen, P. B. Hays, “Doppler line profile analysis for a multichannel Fabry–Perot interferometer,” Appl. Opt. 23, 612–620 (1984). [CrossRef] [PubMed]
  22. J. M. Vaugham, The Fabry–Perot interferometer; History, Theory, Practice and Applications (Hilger, Bristol, UK, 1989).
  23. T. Aoki, M. Fukabori, Te. Aoki, “Remote measurements of atmospheric constituents in the lower layers,” in Proceedings of the International Symposium on Global Cycles of Atmospheric Greenhouse Gases (Tohoku U., Sendai, Japan, 1994), pp. 165–170.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited