Abstract

The current study describes the determination of the transfer function of an Acousto Optical Tunable Filter from the in-flight solar observations of the SOIR instrument on board Venus Express. An approach is proposed in order to reconstruct the transfer function profile from the analysis of various solar lines. Moreover this technique allows the determination of the evolution of the transfer function as a function of the AOTF radio frequency.

© 2009 Optical Society of America

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References

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  1. D. Nevejans, E. Neefs, E. Van Ransbeeck, S. Berkenbosch, R. Clairquin, L. De Vos, W. Moelans, S. Glorieux, A. Baeke, O. Korablev, I. Vinogradov, Y. Kalinnikov, B. Bach, J.-P. Dubois, and E. Villard, "Compact high-resolution space-borne echelle grating spectrometer with AOTF based on order sorting for the infrared domain from 2.2 to 4.3 micrometer," Appl. Opt. 45, 5191-5206 (2006).
    [CrossRef] [PubMed]
  2. A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
    [CrossRef] [PubMed]
  3. J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
    [CrossRef]
  4. D. V. Titov and e. al., "Venus Express science planning," Planetary and Space Science 54, 1279-1297 (2006).
    [CrossRef]
  5. D. A. Glenar, J. J. Hillman, B. Saif, and J. Bergstralh, "Acousto-optic imaging spectropolarimetry for remote sensing," Appl. Opt. 33, 7412-7424 (1994).
    [CrossRef] [PubMed]
  6. J. Xu and R. Stroud, "Acousto-Optic devices," John Wiley & Sons, Inc., New-York, 1992.
  7. A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
    [CrossRef]
  8. M. S. Gottlieb, "Acousto-optical Tunable filter," in Design and fabrication of acousto-optic devices, A. P. Goutzoulis, D. R. Pape and S. V. Kulakov, eds., pp. 197-283, Marcel Dekker, New-York (1994).
  9. F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
    [CrossRef]

2008

2007

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

2006

D. V. Titov and e. al., "Venus Express science planning," Planetary and Space Science 54, 1279-1297 (2006).
[CrossRef]

D. Nevejans, E. Neefs, E. Van Ransbeeck, S. Berkenbosch, R. Clairquin, L. De Vos, W. Moelans, S. Glorieux, A. Baeke, O. Korablev, I. Vinogradov, Y. Kalinnikov, B. Bach, J.-P. Dubois, and E. Villard, "Compact high-resolution space-borne echelle grating spectrometer with AOTF based on order sorting for the infrared domain from 2.2 to 4.3 micrometer," Appl. Opt. 45, 5191-5206 (2006).
[CrossRef] [PubMed]

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

1994

Bach, B.

Baeke, A.

Belyaev, D.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Bergstralh, J.

Berkenbosch, S.

Bernath, P. F.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Bertaux, J. L.

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

Bertaux, J.-L.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Clairquin, R.

De Mazière, M.

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

De Vos, L.

Demoulin, P.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Dimarellis, E.

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

Drummond, R.

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Dubois, J. P.

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

Dubois, J.-P.

Fedorova, A.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Fussen, D.

Glenar, D. A.

Glorieux, S.

Goldman, A.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Hannigan, J. W.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Hase, F.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Hillman, J. J.

Kalinnikov, Y.

Korablev, O.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

D. Nevejans, E. Neefs, E. Van Ransbeeck, S. Berkenbosch, R. Clairquin, L. De Vos, W. Moelans, S. Glorieux, A. Baeke, O. Korablev, I. Vinogradov, Y. Kalinnikov, B. Bach, J.-P. Dubois, and E. Villard, "Compact high-resolution space-borne echelle grating spectrometer with AOTF based on order sorting for the infrared domain from 2.2 to 4.3 micrometer," Appl. Opt. 45, 5191-5206 (2006).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Leblanc, F.

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

Mahieux, A.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Mateshvili, N.

Moelans, W.

Montmessin, F.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Neefs, E.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

D. Nevejans, E. Neefs, E. Van Ransbeeck, S. Berkenbosch, R. Clairquin, L. De Vos, W. Moelans, S. Glorieux, A. Baeke, O. Korablev, I. Vinogradov, Y. Kalinnikov, B. Bach, J.-P. Dubois, and E. Villard, "Compact high-resolution space-borne echelle grating spectrometer with AOTF based on order sorting for the infrared domain from 2.2 to 4.3 micrometer," Appl. Opt. 45, 5191-5206 (2006).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Nevejans, D.

Quémerais, E.

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

Rinsland, C. P.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Ristic, B.

Saif, B.

Sauval, A. J.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Toon, G. C.

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Van Ransbeeck, E.

Vandaele, A. C.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Villard, E.

Vinogradov, I.

Wilquet, V.

A. Mahieux, S. Berkenbosch, R. Clairquin, D. Fussen, N. Mateshvili, E. Neefs, D. Nevejans, B. Ristic, A. C. Vandaele, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, E. Villard, F. Montmessin, and J.-L. Bertaux, "In-Flight performance and calibration of SPICAV SOIR on board Venus Express," Appl. Opt. 47, 2252-65 (2008).
[CrossRef] [PubMed]

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

Appl. Opt.

J. Quant. Spectrosc. Radiat. Transfer

F. Hase, P. Demoulin, A. J. Sauval, G. C. Toon, P. F. Bernath, A. Goldman, J. W. Hannigan, and C. P. Rinsland, "An empirical line-by-line model for the infrared solar transmittance spectrum from 700 to 5000 cm-1," J. Quant. Spectrosc. Radiat. Transfer 102, 450-463 (2006).
[CrossRef]

Planet. Space Sci.

J. L. Bertaux, D. Nevejans, O. Korablev, E. Villard, E. Quémerais, E. Neefs, F. Montmessin, F. Leblanc, J. P. Dubois, and E. Dimarellis, "SPICAV on Venus Express: Three spectrometers to study the global structure and composition of the Venus atmosphere," Planet. Space Sci. 55, 1673-1700 (2007).
[CrossRef]

Planetary and Space Science

D. V. Titov and e. al., "Venus Express science planning," Planetary and Space Science 54, 1279-1297 (2006).
[CrossRef]

Other

J. Xu and R. Stroud, "Acousto-Optic devices," John Wiley & Sons, Inc., New-York, 1992.

A. C. Vandaele, M. De Mazière, R. Drummond, A. Mahieux, E. Neefs, V. Wilquet, D. Belyaev, A. Fedorova, O. Korablev, F. Montmessin, and J.-L. Bertaux, "Composition of the Venus mesosphere measured by SOIR on board Venus Express," J. Geophysic. Res., doi:10.1029/2008JE003140 (2008).
[CrossRef]

M. S. Gottlieb, "Acousto-optical Tunable filter," in Design and fabrication of acousto-optic devices, A. P. Goutzoulis, D. R. Pape and S. V. Kulakov, eds., pp. 197-283, Marcel Dekker, New-York (1994).

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Figures (7)

Fig. 1.
Fig. 1.

SOIR optics. The AOTF (3) is located after the entrance optics (1 and 2). The echelle grating (7) diffracts the incoming light, which is recorded by the detector (10).

Fig. 2.
Fig. 2.

SOIR spectrum construction process. Panel A depicts the CO2 absorption lines at 2.99 μm (corresponding to diffraction order 149) at a very high resolution. Panel B shows the CO2 absorption lines convolved by the instrument function. The dotted line is the AOTF transfer function for the diffraction order 149. The vertical dashed lines between the arrows show the limits of each diffraction order. Panel C depicts the spectrum after multiplication by the AOTF transfer function, i.e. what reaches the echelle grating in terms of transmittance. Panel D shows the contribution of each diffracted spectrum after the echelle grating. The orders 146, 147, 151 and 152 have small contributions, but may not be neglected. Finally, the simulated transmittance is represented in panel E, and is the sum of all diffracted orders contributions.

Fig. 3.
Fig. 3.

Definition of the interval variation of the wn0i. This is a plot of one sinc2 function (the one noted ‘0’) to show how the position of the wn0i is constrained using the value of fwhm0 . The width of the arrows equals to fwhm0 .

Fig. 4.
Fig. 4.

Description of the interaction between the global model and the local model

Fig. 5.
Fig. 5.

Convergence of the global model for bin 1 of binning 2×12. The convergence occurred after 482 steps. Panel A shows the convergence of the function minimized by the Simplex algorithm. Panels B and C show the convergence of parameters a FWMH 0 and b FWMH 0 , and panels D and E concern the convergence of a I 1 and b I 1 .

Fig. 6.
Fig. 6.

Fit of the 2943.70 cm-1 solar line. Panel A shows the fit of the solar line at 2943.70 cm-1 solar line. This line has been scanned three times, during orbits 142.2 (20060910), 474.1 (20070808) and 490.1 (20070824). The measured AOTF transfer functions are plotted as solid lines; the fitted functions are plotted as dashed lines. They depict the models described in Eq. 2. Panel B shows the residuals of the fit of the three solar lines. Panel C shows the 5 sinc2 functions, and panel D shows the final AOTF transfer function, obtained from the model described in Eq. (1).

Fig. 7.
Fig. 7.

AOTF final functions retrieved for bin 1 (binning 2×12) for several orders.

Tables (1)

Tables Icon

Table 1: Example of coefficients set of the AOTF transfer function fit for bin 2 of the binning cases 2x16.

Equations (3)

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AOTF ( wn ) = i = 2 2 max ( 0 , I i ) · sinc 2 [ 0.886 · ( wn w n 0 i ) fwh m i ]
AOTF j ( wn ) = i = 2 2 max ( 0 , I i ) sinc 2 [ 0.886 · ( wn w n 0 i ) fwh m i ] AOTF ( wn ) + α j · wn + β j
X = a x · wn + b x

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