Abstract

A high resolution interferometer in the Michelson configuration has been designed and constructed for the purpose of studying the optical properties of gases in either the symmetric or asymmetric mode of operation. The performance of this instrument in the 20–220 cm−1 spectral region is demonstrated by measurements on a few simple molecules. A working resolution of 0.05 cm−1 is verified by observation of the isotopic splitting in HCl and by the resolution of several doublets in the H2O spectrum. Applications of the asymmetric mode to line strength measurements and to determination of partial pressures of absorbing constituents in gas mixtures are discussed.

© 1971 Optical Society of America

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References

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  1. G. A. Vanasse, H. Sakai, in Progress in Optics (North-Holland Publishing Co., Amsterdam, 1967), Vol. 6, p. 261.
    [CrossRef]
  2. R. B. Sanderson, Appl. Opt. 6, 1527 (1967).
    [CrossRef] [PubMed]
  3. W. H. Robinette, R. B. Sanderson, Appl. Opt. 8, 711 (1969).
    [CrossRef] [PubMed]
  4. J. Chamberlain, J. E. Gibbs, H. A. Gebbie, Infrared Phys. 9, 185 (1969).
    [CrossRef]
  5. J. Chamberlain, J. Quant. Spectrosc. Radiative Transfer 7, 151 (1967).
    [CrossRef]
  6. M. Cuisenier, J. Pinard, J. Phys. (Suppl.) 28, 97 (1967).
  7. R. Beer, D. Marjaniemi, Appl. Opt. 5, 1191 (1966).
    [CrossRef] [PubMed]
  8. The detector was furnished by R. G. Wheeler of Yale University.
  9. Manufactured by the D. W. Mann Co., Lincoln, Mass.
  10. Y. Yamada, A. Mitsuishi, H. Yoshinaga, J. Opt. Soc. Amer. 52, 17 (1962).
    [CrossRef]
  11. K. N. Rao, C. J. Humphreys, D. H. Rank, Wavelength Standards in the Infrared (Academic Press, New York, 1966).
  12. K. N. Rao, J. Williamson, J. Mol. Spectrosc. to be published.
  13. D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
    [CrossRef]
  14. D. U. Webb, K. N. Rao, J. Mol. Spectrosc. 28, 121 (1968).
    [CrossRef]
  15. E. W. Kaiser, J. Chem. Phys. 53, 1686 (1970).
    [CrossRef]
  16. R. B. Sanderson, H. E. Scott, J. T. White, J. Mol. Spectrosc.38, in press (1971).
    [CrossRef]

1970 (1)

E. W. Kaiser, J. Chem. Phys. 53, 1686 (1970).
[CrossRef]

1969 (2)

W. H. Robinette, R. B. Sanderson, Appl. Opt. 8, 711 (1969).
[CrossRef] [PubMed]

J. Chamberlain, J. E. Gibbs, H. A. Gebbie, Infrared Phys. 9, 185 (1969).
[CrossRef]

1968 (1)

D. U. Webb, K. N. Rao, J. Mol. Spectrosc. 28, 121 (1968).
[CrossRef]

1967 (3)

R. B. Sanderson, Appl. Opt. 6, 1527 (1967).
[CrossRef] [PubMed]

J. Chamberlain, J. Quant. Spectrosc. Radiative Transfer 7, 151 (1967).
[CrossRef]

M. Cuisenier, J. Pinard, J. Phys. (Suppl.) 28, 97 (1967).

1966 (1)

1962 (2)

Y. Yamada, A. Mitsuishi, H. Yoshinaga, J. Opt. Soc. Amer. 52, 17 (1962).
[CrossRef]

D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
[CrossRef]

Beer, R.

Chamberlain, J.

J. Chamberlain, J. E. Gibbs, H. A. Gebbie, Infrared Phys. 9, 185 (1969).
[CrossRef]

J. Chamberlain, J. Quant. Spectrosc. Radiative Transfer 7, 151 (1967).
[CrossRef]

Cuisenier, M.

M. Cuisenier, J. Pinard, J. Phys. (Suppl.) 28, 97 (1967).

Eastman, D. P.

D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
[CrossRef]

Gebbie, H. A.

J. Chamberlain, J. E. Gibbs, H. A. Gebbie, Infrared Phys. 9, 185 (1969).
[CrossRef]

Gibbs, J. E.

J. Chamberlain, J. E. Gibbs, H. A. Gebbie, Infrared Phys. 9, 185 (1969).
[CrossRef]

Humphreys, C. J.

K. N. Rao, C. J. Humphreys, D. H. Rank, Wavelength Standards in the Infrared (Academic Press, New York, 1966).

Kaiser, E. W.

E. W. Kaiser, J. Chem. Phys. 53, 1686 (1970).
[CrossRef]

Marjaniemi, D.

Mitsuishi, A.

Y. Yamada, A. Mitsuishi, H. Yoshinaga, J. Opt. Soc. Amer. 52, 17 (1962).
[CrossRef]

Pinard, J.

M. Cuisenier, J. Pinard, J. Phys. (Suppl.) 28, 97 (1967).

Rank, D. H.

D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
[CrossRef]

K. N. Rao, C. J. Humphreys, D. H. Rank, Wavelength Standards in the Infrared (Academic Press, New York, 1966).

Rao, B. S.

D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
[CrossRef]

Rao, K. N.

D. U. Webb, K. N. Rao, J. Mol. Spectrosc. 28, 121 (1968).
[CrossRef]

K. N. Rao, C. J. Humphreys, D. H. Rank, Wavelength Standards in the Infrared (Academic Press, New York, 1966).

K. N. Rao, J. Williamson, J. Mol. Spectrosc. to be published.

Robinette, W. H.

Sakai, H.

G. A. Vanasse, H. Sakai, in Progress in Optics (North-Holland Publishing Co., Amsterdam, 1967), Vol. 6, p. 261.
[CrossRef]

Sanderson, R. B.

Scott, H. E.

R. B. Sanderson, H. E. Scott, J. T. White, J. Mol. Spectrosc.38, in press (1971).
[CrossRef]

Vanasse, G. A.

G. A. Vanasse, H. Sakai, in Progress in Optics (North-Holland Publishing Co., Amsterdam, 1967), Vol. 6, p. 261.
[CrossRef]

Webb, D. U.

D. U. Webb, K. N. Rao, J. Mol. Spectrosc. 28, 121 (1968).
[CrossRef]

White, J. T.

R. B. Sanderson, H. E. Scott, J. T. White, J. Mol. Spectrosc.38, in press (1971).
[CrossRef]

Wiggins, T. A.

D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
[CrossRef]

Williamson, J.

K. N. Rao, J. Williamson, J. Mol. Spectrosc. to be published.

Yamada, Y.

Y. Yamada, A. Mitsuishi, H. Yoshinaga, J. Opt. Soc. Amer. 52, 17 (1962).
[CrossRef]

Yoshinaga, H.

Y. Yamada, A. Mitsuishi, H. Yoshinaga, J. Opt. Soc. Amer. 52, 17 (1962).
[CrossRef]

Appl. Opt. (3)

Infrared Phys. (1)

J. Chamberlain, J. E. Gibbs, H. A. Gebbie, Infrared Phys. 9, 185 (1969).
[CrossRef]

J. Chem. Phys. (1)

E. W. Kaiser, J. Chem. Phys. 53, 1686 (1970).
[CrossRef]

J. Mol. Spectrosc. (1)

D. U. Webb, K. N. Rao, J. Mol. Spectrosc. 28, 121 (1968).
[CrossRef]

J. Opt. Soc. Amer. (2)

D. H. Rank, D. P. Eastman, B. S. Rao, T. A. Wiggins, J. Opt. Soc. Amer. 52, 1 (1962).
[CrossRef]

Y. Yamada, A. Mitsuishi, H. Yoshinaga, J. Opt. Soc. Amer. 52, 17 (1962).
[CrossRef]

J. Phys. (Suppl.) (1)

M. Cuisenier, J. Pinard, J. Phys. (Suppl.) 28, 97 (1967).

J. Quant. Spectrosc. Radiative Transfer (1)

J. Chamberlain, J. Quant. Spectrosc. Radiative Transfer 7, 151 (1967).
[CrossRef]

Other (6)

G. A. Vanasse, H. Sakai, in Progress in Optics (North-Holland Publishing Co., Amsterdam, 1967), Vol. 6, p. 261.
[CrossRef]

The detector was furnished by R. G. Wheeler of Yale University.

Manufactured by the D. W. Mann Co., Lincoln, Mass.

K. N. Rao, C. J. Humphreys, D. H. Rank, Wavelength Standards in the Infrared (Academic Press, New York, 1966).

K. N. Rao, J. Williamson, J. Mol. Spectrosc. to be published.

R. B. Sanderson, H. E. Scott, J. T. White, J. Mol. Spectrosc.38, in press (1971).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Optical diagram of interferometer.

Fig. 2
Fig. 2

Spectrum of H2O near 38 cm−1 and 60 cm−1. Pressure: 8 Torr at 38 cm−1, 4 Torr at 60 cm−1. Path length: 22.5 cm. All spectra are plotted by connecting the computed points with straight lines. The spectra are shown far enough into the wings of the lines to indicate the noise level.

Fig. 3
Fig. 3

Spectrum of H2O near 99 cm−1 and 105.5 cm−1. Pressure: 2 Torr. Path length: 22.5 cm.

Fig. 4
Fig. 4

Splitting of the isotopic doublet in the J = 1 → J = 2 transition in HCl. Pressure: 4 Torr.

Fig. 5
Fig. 5

Spectrum of H2O from 20 cm−1 to 220 cm−1. Pressure: 8 Torr. Path length: 22.5 cm. This is a composite of three runs.

Fig. 6
Fig. 6

Index of refraction of HCl from 25 cm−1 to 150 cm−1. Resolution 0.4 cm−1. The zero ordinate is arbitrary.

Tables (1)

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Table I Beam Splitter and Filter Combinations

Equations (3)

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σ obs . - σ true = α σ true .
ϕ ( σ ) = { 2 π σ [ ( n - 1 ) / P ] d } P + a σ ,
P s P b = ϕ s ( σ 1 ) / σ 1 - ϕ s ( σ 2 ) / σ 2 ϕ b ( σ 1 ) / σ 1 - ϕ b ( σ 2 ) / σ 2 .

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