Abstract

The Multiplex Fabry–Perot interferometer (MFPI) consists of a Fabry–Perot interferometer in which the étalon plate separation is changed over a large optical distance. Fourier transformation of the resultant interferogram allows one to treat the multiple reflections within the étalon cavity in a manner analogous to an array of Michelson-type interferometers. However, the scan distance required by the MFPI is much less than for a comparable Michelson. The design and construction of the MFPI are described. Solar absorption spectra measured with this instrument are compared with results from the FASCODE atmospheric model.

© 1995 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. B. Cook, H. E. Snell, P. B. Hays, “Multiplex Fabry–Perot interferometer: I. Theory,” Appl. Opt. 34, 5263–5267 (1995).
    [CrossRef] [PubMed]
  2. H. E. Snell, “Development of a multiplex Fabry–Perot interferometer and measurement of atmospheric HF and HCl,” Ph.D. dissertation (University of Michigan, Ann Arbor, Michigan, 1994).
  3. The mention of brand names in this paper is for information purposes only and does not constitute an endorsement of the products by the authors or their institutions.
  4. J. V. Ramsay, “Automatic control of the spacing of Fabry–Perot interferometers,” Appl. Opt. 5, 1297–1301 (1966).
    [CrossRef] [PubMed]
  5. G. Hernandez, O. A. Mills, “Feedback stabilized Fabry–Perot interferometer,” Appl. Opt. 12, 126–130 (1973).
    [CrossRef] [PubMed]
  6. P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
    [CrossRef]
  7. G. Guelachvili, “Distortions in Fourier spectra and diagnosis,” in Spectrophotometric Techniques, G. A. Vanasse, ed. (Academic, New York, 1981), Chap. 1, pp. 1–10.
  8. S. A. Clough, F. X. Kneizys, L. S. Rothman, W. O. Gallery, “Atmospheric spectral transmittance and radiance: FASCOD1B,” in Atmospheric Transmission, R. W. Fenn, Proc. Soc. Photo-Opt. Instrum. Eng.277, 152–166 (1981).
  9. S. A. Clough, F. X. Kneizys, E. P. Shettle, G. P. Anderson, “Atmospheric spectral transmittance and radiance: FASCOD2,” in Proceedings of the Sixth Conference on Atmospheric Radiation (American Meteorological Society, Boston, Mass., 1986) pp. 141–144.
  10. R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972), Chap. 12, pp. 159–166.

1995

1993

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

1973

1966

Abreu, V. J.

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Anderson, G. P.

S. A. Clough, F. X. Kneizys, E. P. Shettle, G. P. Anderson, “Atmospheric spectral transmittance and radiance: FASCOD2,” in Proceedings of the Sixth Conference on Atmospheric Radiation (American Meteorological Society, Boston, Mass., 1986) pp. 141–144.

Bell, R. J.

R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972), Chap. 12, pp. 159–166.

Clough, S. A.

S. A. Clough, F. X. Kneizys, E. P. Shettle, G. P. Anderson, “Atmospheric spectral transmittance and radiance: FASCOD2,” in Proceedings of the Sixth Conference on Atmospheric Radiation (American Meteorological Society, Boston, Mass., 1986) pp. 141–144.

S. A. Clough, F. X. Kneizys, L. S. Rothman, W. O. Gallery, “Atmospheric spectral transmittance and radiance: FASCOD1B,” in Atmospheric Transmission, R. W. Fenn, Proc. Soc. Photo-Opt. Instrum. Eng.277, 152–166 (1981).

Cook, W. B.

Dobbs, M. E.

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Gallery, W. O.

S. A. Clough, F. X. Kneizys, L. S. Rothman, W. O. Gallery, “Atmospheric spectral transmittance and radiance: FASCOD1B,” in Atmospheric Transmission, R. W. Fenn, Proc. Soc. Photo-Opt. Instrum. Eng.277, 152–166 (1981).

Gell, D. A.

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Grassl, H. J.

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Guelachvili, G.

G. Guelachvili, “Distortions in Fourier spectra and diagnosis,” in Spectrophotometric Techniques, G. A. Vanasse, ed. (Academic, New York, 1981), Chap. 1, pp. 1–10.

Hays, P. B.

W. B. Cook, H. E. Snell, P. B. Hays, “Multiplex Fabry–Perot interferometer: I. Theory,” Appl. Opt. 34, 5263–5267 (1995).
[CrossRef] [PubMed]

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Hernandez, G.

Kneizys, F. X.

S. A. Clough, F. X. Kneizys, L. S. Rothman, W. O. Gallery, “Atmospheric spectral transmittance and radiance: FASCOD1B,” in Atmospheric Transmission, R. W. Fenn, Proc. Soc. Photo-Opt. Instrum. Eng.277, 152–166 (1981).

S. A. Clough, F. X. Kneizys, E. P. Shettle, G. P. Anderson, “Atmospheric spectral transmittance and radiance: FASCOD2,” in Proceedings of the Sixth Conference on Atmospheric Radiation (American Meteorological Society, Boston, Mass., 1986) pp. 141–144.

Mills, O. A.

Ramsay, J. V.

Rothman, L. S.

S. A. Clough, F. X. Kneizys, L. S. Rothman, W. O. Gallery, “Atmospheric spectral transmittance and radiance: FASCOD1B,” in Atmospheric Transmission, R. W. Fenn, Proc. Soc. Photo-Opt. Instrum. Eng.277, 152–166 (1981).

Shettle, E. P.

S. A. Clough, F. X. Kneizys, E. P. Shettle, G. P. Anderson, “Atmospheric spectral transmittance and radiance: FASCOD2,” in Proceedings of the Sixth Conference on Atmospheric Radiation (American Meteorological Society, Boston, Mass., 1986) pp. 141–144.

Skinner, W. R.

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Snell, H. E.

W. B. Cook, H. E. Snell, P. B. Hays, “Multiplex Fabry–Perot interferometer: I. Theory,” Appl. Opt. 34, 5263–5267 (1995).
[CrossRef] [PubMed]

H. E. Snell, “Development of a multiplex Fabry–Perot interferometer and measurement of atmospheric HF and HCl,” Ph.D. dissertation (University of Michigan, Ann Arbor, Michigan, 1994).

Appl. Opt.

J. Geophys. Res.

P. B. Hays, V. J. Abreu, M. E. Dobbs, D. A. Gell, H. J. Grassl, W. R. Skinner, “The high-resolution Doppler imager on the upper atmosphere research satellite,” J. Geophys. Res. 98, 10713–10723 (1993).
[CrossRef]

Other

G. Guelachvili, “Distortions in Fourier spectra and diagnosis,” in Spectrophotometric Techniques, G. A. Vanasse, ed. (Academic, New York, 1981), Chap. 1, pp. 1–10.

S. A. Clough, F. X. Kneizys, L. S. Rothman, W. O. Gallery, “Atmospheric spectral transmittance and radiance: FASCOD1B,” in Atmospheric Transmission, R. W. Fenn, Proc. Soc. Photo-Opt. Instrum. Eng.277, 152–166 (1981).

S. A. Clough, F. X. Kneizys, E. P. Shettle, G. P. Anderson, “Atmospheric spectral transmittance and radiance: FASCOD2,” in Proceedings of the Sixth Conference on Atmospheric Radiation (American Meteorological Society, Boston, Mass., 1986) pp. 141–144.

R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972), Chap. 12, pp. 159–166.

H. E. Snell, “Development of a multiplex Fabry–Perot interferometer and measurement of atmospheric HF and HCl,” Ph.D. dissertation (University of Michigan, Ann Arbor, Michigan, 1994).

The mention of brand names in this paper is for information purposes only and does not constitute an endorsement of the products by the authors or their institutions.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (13)

Fig. 1
Fig. 1

Schematic drawing of the optical configuration of the MFPI. M1–4 are flat mirrors, S1–3 are spherical mirrors, F1 is a broadband filter used to eliminate the visible component of the sunlight, F2 is a narrow-band filter to isolate the spectral region of interest, A1–3 are the He–Ne alignment beams, and D1–3 are photodiode detectors. B.S., beam splitter.

Fig. 2
Fig. 2

Fabry–Perot étalon and drive system.

Fig. 3
Fig. 3

Recorded He–Ne detector signal as a function of sample number: (a) beginning of data recording, initiated just before the plates began to move, (b) smaller section of the fringe pattern at approximately the point where the plates first achieved uniform speed. These fringe patterns are used to determine the sampling interval in space.

Fig. 4
Fig. 4

Recorded (uncorrected) IR detector signal as a function of sample number. This is an interferogram of an atmospheric absorption spectrum.

Fig. 5
Fig. 5

Spectra derived from the FFT of the interferogram shown in Fig. 4. The data were not corrected before the transform. (a) first harmonic, (b) fifth harmonic.

Fig. 6
Fig. 6

FASCODE atmospheric absorption spectrum of the region passed by the IR filter. An N2O Q branch is clearly visible on the left, and most of the other lines are from water vapor or methane.

Fig. 7
Fig. 7

Computed spectra from a partially corrected interferogram. The FFT was performed on data assumed to begin ten IR fringes (19.1 μm) from ZPD. (a) first harmonic, (b) fifth harmonic. No phase correction has been applied.

Fig. 8
Fig. 8

Partially corrected interferogram. The interferogram was corrected to provide equal spatial sampling intervals as described in the text. No ZPD correction has been applied.

Fig. 9
Fig. 9

(a) first- and (b) fifth-harmonic spectra after phase correction.

Fig. 10
Fig. 10

Schematic showing the computation necessary to compute the spectrum of MFPI harmonics with phase correction and ZPD correction. F, filter spectrum; I, interferogram; Io, original interferogram; j, phase correction; m, number of points in Fourier transform; S, spectrum; S′, spectrum with filter correction; f, filter; 1, first harmonic; c, corrected; and ⇒, Fourier transform.

Fig. 11
Fig. 11

(a) first and (b) fifth harmonics after all corrections have been applied. The resolution is (a) 0.226 and (b) 0.045 cm−1.

Fig. 12
Fig. 12

Expanded view of calculated spectrum in which harmonics 5 through 12 have been coadded to improve the SNR, as explained in the text.

Fig. 13
Fig. 13

FASCODE simulation of the expected corresponding to the acquired spectrum shown in Fig. 12.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

F = 2 n ν 0 ( μ t time ) = 2 n ν 0 ( f He Ne λ He Ne 2 ) ,
I ( t ̅ ) = n = 1 R n 0 B a ( ν n ) cos [ 2 π t ̅ ν + φ ( ν ) ] d ν n .

Metrics