Abstract

MIPAS-FT is an airborne Fourier-transform infrared emission sounder. Complex Fourier transformation of two-sided interferograms taken in flight shows strong anomalies in the correction phase, which are eliminated by explicitly taking into account beam-splitter emission. The latter is described mathematically.

© 1993 Optical Society of America

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References

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  1. The techniques and the history of the MIPAS family have been described by H. Fischer in “Remote sensing of atmospheric trace constituents using Fourier transform spectroscopy,” Ber. Bunsenges. Phys. Chem. 96, 306–314 (1992).
    [CrossRef]
  2. R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972), Chap. 9, p. 125.
  3. H. E. Revercomb, H. Buijs, H. B. Howell, D. D. La Porte, W. L. Smith, L. A. Sromovski, “Radiometric calibration of IR Fourier spectrometers: experience from a high-resolution interferometer sounder (HIS) aircraft instrument,” Appl. Opt. 27, 3210–3218 (1988);H. E. Revercomb, W. L. Smith, L. A. Sromovsky, R. O. Knuteson, H. Buijs, D. D. LaPorte, H. B. Howell, “Radiometrically accurate FTS for atmospheric emission observations,” in Seventh International Conference on Fourier Transform Spectroscopy, D. G. Cameron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1145, 70–79 (1989).
    [CrossRef] [PubMed]
  4. B. Carli, Instituto di Ricerche Onde Elettromagnetiche, Via Panciatichi, 64, 50127 Firenze, Italy (personal communication, 1992).

1992 (1)

The techniques and the history of the MIPAS family have been described by H. Fischer in “Remote sensing of atmospheric trace constituents using Fourier transform spectroscopy,” Ber. Bunsenges. Phys. Chem. 96, 306–314 (1992).
[CrossRef]

1988 (1)

Bell, R. J.

R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972), Chap. 9, p. 125.

Buijs, H.

Carli, B.

B. Carli, Instituto di Ricerche Onde Elettromagnetiche, Via Panciatichi, 64, 50127 Firenze, Italy (personal communication, 1992).

Fischer, H.

The techniques and the history of the MIPAS family have been described by H. Fischer in “Remote sensing of atmospheric trace constituents using Fourier transform spectroscopy,” Ber. Bunsenges. Phys. Chem. 96, 306–314 (1992).
[CrossRef]

Howell, H. B.

La Porte, D. D.

Revercomb, H. E.

Smith, W. L.

Sromovski, L. A.

Appl. Opt. (1)

Ber. Bunsenges. Phys. Chem. (1)

The techniques and the history of the MIPAS family have been described by H. Fischer in “Remote sensing of atmospheric trace constituents using Fourier transform spectroscopy,” Ber. Bunsenges. Phys. Chem. 96, 306–314 (1992).
[CrossRef]

Other (2)

R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972), Chap. 9, p. 125.

B. Carli, Instituto di Ricerche Onde Elettromagnetiche, Via Panciatichi, 64, 50127 Firenze, Italy (personal communication, 1992).

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Figures (4)

Fig. 1
Fig. 1

In-flight atmospheric emission spectrum taken with MIPAS-FT on board a Transall airplane in winter, 1991–1992: (a) magnitude, (b) phase angle spectrum for a complex Fourier transform of a two-sided interferogram. The maximum optical path difference was ±5 cm.

Fig. 2
Fig. 2

Schematic presentation of beam paths in a Fourier-transform infrared (FTIR) spectrometer such as MIPAS-FT. (a) The normal or balanced case, (b) the unbalanced case for IR emission from the detective port, (c) beam-splitter emission. The mirrors move in the opposite sense, x is the optical path difference between the beams labeled TR and RT in (a). Multiple reflections within the beam splitter are not shown.

Fig. 3
Fig. 3

Vectorial presentation of Fourier transform I(σ) of two-sided interferograms and its components for a fixed wave number σ. The magnitude Im is decomposed into the component of interest Ir = Ib + Iu; b, balanced; u, unbalanced.

Fig. 4
Fig. 4

In-flight spectra taken with MIPAS-FT on board a Transall airplane. The radiation spectra Ir(σ) from atmospheric trace gases (a) and for calibration (b) are obtained by explicitly taking into account beam-splitter emission Ibs(σ) (b). The phase spectrum ϕ(σ) (c) and the atmospheric spectrum Ir(σ) (a) are highly improved compared with those in Fig. 1, in which the same interferograms were used.

Equations (8)

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I b ( x ) | R T + T R exp ( i 2 π σ x ) | 2 = ( 1 + cos 2 π σ x ) / 2 .
I u ( x ) | R 2 + T 2 exp [ i 2 π σ ( x 1 / 2 σ ) ] | 2 = ( 1 cos 2 π σ x ) / 2 .
δ ( x ) x / 2 σ d .
d I bs ( x ) { | E | 2 + | E T + E R exp [ i 2 π σ ( x + δ ( x ) ] | 2 } d x / d = E 2 [ 1 + T 2 + R 2 + 2 R T ( sin 2 π σ x sin π x / d + cos 2 π σ x cos π x / d ) ] d x / d .
I bs ( x ) 1 2 ( 2 2 π sin 2 π σ x ) .
I r ( σ ) = | I b ( σ ) + I u ( σ ) | = I b ( σ ) I u ( σ ) ,
I bs ( σ ) = Re [ I m ( σ ) ] sin ϕ ( σ ) + Im [ I m ( σ ) ] cos ϕ ( σ )
I r ( σ ) = Re [ I m ( σ ) ] cos ϕ ( σ ) + Im [ I m ( σ ) ] sin ϕ ( σ )

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