Abstract

Spectrally resolved earth limb radiance profiles were inverted to recover concentration and temperature profiles in the non-LTE altitude regime. These simulations used synthetic spectra for the optically thin NO fundamental band near 5.3 μm. The purpose of the study was to test a nonlinear inversion algorithm used previously to invert real data obtained in the Spectral Infrared Rocket Experiment. Specifically, the tests consisted of attempts to retrieve singly and doubly peaked excited density vs altitude profiles and kinetic temperature vs altitude from the synthetic spectral data with and without added noise. A nonlinear inversion algorithm was used rather than the formal inverse of the Abel integral equation because it offers promise for species/bands that are not optically thin.

© 1983 Optical Society of America

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References

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  1. F. B. House, G. Ohring, “Inference of Stratospheric Temperature and Moisture Profiles from Observations of the Infrared Horizon,” GCA Corp. Report, NASA Contract Rep.1419 (1969).
  2. J. C. Gille, P. L. Bailey, R. A. Craig, J. R. Thomas, “The Limb Radiance Inversion Radiometer (LRIR) Experiment,” in The Nimbus 6 Users' Guide, J. E. Sissola, Ed. (Goddard Space Flight Center, Greenbelt, Md., 1975), p. 141.
  3. J. M. Russell, J. C. Gille, “The Limb Infrared Monitor of the Stratosphere (LIMS) Experiment,” in The Nimbus 7 User's Guide, C. R. Madrid, Ed. (NASA Goddard Space Flight Center, Greenbelt, Md., 1978), pp. 71–103.
  4. A. S. Zachor, R. D. Sharma, R. M. Nadile, A. T. Stair, “Inversion of SPIRE NO Data,” Air Force Geophysics Laboratory Report TR-81-0325 (1981).Submitted to J. Geophys. Res.
  5. R. M. Nadile et al., Proc. Soc. Photo-Opt. Instrum. Eng. 124, 118 (1977).
  6. A. T. Stair et al., “Infrared Measurements of Aurora, Airglow and the Upper Atmosphere,” in Proceedings, AIAA Nineteenth Aerospace Sciences Meeting, St. Louis (1981), (AIAA-81-0421).
  7. H. Margenau, G. M. Murphy, The Mathematics of Physics and Chemistry (Van Nostrand, Princeton, N.J., 1956), pp. 523–525, 541–542.
  8. R. G. Roble, P. B. Hayes, Planet. Space Sci. 20, 1727 (1972).
    [CrossRef]
  9. L. Jacchia, “Thermospheric Temperature, Density and Composition: New Models,” Smithsonian Astrophysical Observatory Special Report 375 (1977).

1977 (1)

R. M. Nadile et al., Proc. Soc. Photo-Opt. Instrum. Eng. 124, 118 (1977).

1972 (1)

R. G. Roble, P. B. Hayes, Planet. Space Sci. 20, 1727 (1972).
[CrossRef]

Bailey, P. L.

J. C. Gille, P. L. Bailey, R. A. Craig, J. R. Thomas, “The Limb Radiance Inversion Radiometer (LRIR) Experiment,” in The Nimbus 6 Users' Guide, J. E. Sissola, Ed. (Goddard Space Flight Center, Greenbelt, Md., 1975), p. 141.

Craig, R. A.

J. C. Gille, P. L. Bailey, R. A. Craig, J. R. Thomas, “The Limb Radiance Inversion Radiometer (LRIR) Experiment,” in The Nimbus 6 Users' Guide, J. E. Sissola, Ed. (Goddard Space Flight Center, Greenbelt, Md., 1975), p. 141.

Gille, J. C.

J. C. Gille, P. L. Bailey, R. A. Craig, J. R. Thomas, “The Limb Radiance Inversion Radiometer (LRIR) Experiment,” in The Nimbus 6 Users' Guide, J. E. Sissola, Ed. (Goddard Space Flight Center, Greenbelt, Md., 1975), p. 141.

J. M. Russell, J. C. Gille, “The Limb Infrared Monitor of the Stratosphere (LIMS) Experiment,” in The Nimbus 7 User's Guide, C. R. Madrid, Ed. (NASA Goddard Space Flight Center, Greenbelt, Md., 1978), pp. 71–103.

Hayes, P. B.

R. G. Roble, P. B. Hayes, Planet. Space Sci. 20, 1727 (1972).
[CrossRef]

House, F. B.

F. B. House, G. Ohring, “Inference of Stratospheric Temperature and Moisture Profiles from Observations of the Infrared Horizon,” GCA Corp. Report, NASA Contract Rep.1419 (1969).

Jacchia, L.

L. Jacchia, “Thermospheric Temperature, Density and Composition: New Models,” Smithsonian Astrophysical Observatory Special Report 375 (1977).

Margenau, H.

H. Margenau, G. M. Murphy, The Mathematics of Physics and Chemistry (Van Nostrand, Princeton, N.J., 1956), pp. 523–525, 541–542.

Murphy, G. M.

H. Margenau, G. M. Murphy, The Mathematics of Physics and Chemistry (Van Nostrand, Princeton, N.J., 1956), pp. 523–525, 541–542.

Nadile, R. M.

R. M. Nadile et al., Proc. Soc. Photo-Opt. Instrum. Eng. 124, 118 (1977).

A. S. Zachor, R. D. Sharma, R. M. Nadile, A. T. Stair, “Inversion of SPIRE NO Data,” Air Force Geophysics Laboratory Report TR-81-0325 (1981).Submitted to J. Geophys. Res.

Ohring, G.

F. B. House, G. Ohring, “Inference of Stratospheric Temperature and Moisture Profiles from Observations of the Infrared Horizon,” GCA Corp. Report, NASA Contract Rep.1419 (1969).

Roble, R. G.

R. G. Roble, P. B. Hayes, Planet. Space Sci. 20, 1727 (1972).
[CrossRef]

Russell, J. M.

J. M. Russell, J. C. Gille, “The Limb Infrared Monitor of the Stratosphere (LIMS) Experiment,” in The Nimbus 7 User's Guide, C. R. Madrid, Ed. (NASA Goddard Space Flight Center, Greenbelt, Md., 1978), pp. 71–103.

Sharma, R. D.

A. S. Zachor, R. D. Sharma, R. M. Nadile, A. T. Stair, “Inversion of SPIRE NO Data,” Air Force Geophysics Laboratory Report TR-81-0325 (1981).Submitted to J. Geophys. Res.

Stair, A. T.

A. S. Zachor, R. D. Sharma, R. M. Nadile, A. T. Stair, “Inversion of SPIRE NO Data,” Air Force Geophysics Laboratory Report TR-81-0325 (1981).Submitted to J. Geophys. Res.

A. T. Stair et al., “Infrared Measurements of Aurora, Airglow and the Upper Atmosphere,” in Proceedings, AIAA Nineteenth Aerospace Sciences Meeting, St. Louis (1981), (AIAA-81-0421).

Thomas, J. R.

J. C. Gille, P. L. Bailey, R. A. Craig, J. R. Thomas, “The Limb Radiance Inversion Radiometer (LRIR) Experiment,” in The Nimbus 6 Users' Guide, J. E. Sissola, Ed. (Goddard Space Flight Center, Greenbelt, Md., 1975), p. 141.

Zachor, A. S.

A. S. Zachor, R. D. Sharma, R. M. Nadile, A. T. Stair, “Inversion of SPIRE NO Data,” Air Force Geophysics Laboratory Report TR-81-0325 (1981).Submitted to J. Geophys. Res.

Planet. Space Sci. (1)

R. G. Roble, P. B. Hayes, Planet. Space Sci. 20, 1727 (1972).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

R. M. Nadile et al., Proc. Soc. Photo-Opt. Instrum. Eng. 124, 118 (1977).

Other (7)

A. T. Stair et al., “Infrared Measurements of Aurora, Airglow and the Upper Atmosphere,” in Proceedings, AIAA Nineteenth Aerospace Sciences Meeting, St. Louis (1981), (AIAA-81-0421).

H. Margenau, G. M. Murphy, The Mathematics of Physics and Chemistry (Van Nostrand, Princeton, N.J., 1956), pp. 523–525, 541–542.

L. Jacchia, “Thermospheric Temperature, Density and Composition: New Models,” Smithsonian Astrophysical Observatory Special Report 375 (1977).

F. B. House, G. Ohring, “Inference of Stratospheric Temperature and Moisture Profiles from Observations of the Infrared Horizon,” GCA Corp. Report, NASA Contract Rep.1419 (1969).

J. C. Gille, P. L. Bailey, R. A. Craig, J. R. Thomas, “The Limb Radiance Inversion Radiometer (LRIR) Experiment,” in The Nimbus 6 Users' Guide, J. E. Sissola, Ed. (Goddard Space Flight Center, Greenbelt, Md., 1975), p. 141.

J. M. Russell, J. C. Gille, “The Limb Infrared Monitor of the Stratosphere (LIMS) Experiment,” in The Nimbus 7 User's Guide, C. R. Madrid, Ed. (NASA Goddard Space Flight Center, Greenbelt, Md., 1978), pp. 71–103.

A. S. Zachor, R. D. Sharma, R. M. Nadile, A. T. Stair, “Inversion of SPIRE NO Data,” Air Force Geophysics Laboratory Report TR-81-0325 (1981).Submitted to J. Geophys. Res.

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Figures (9)

Fig. 1
Fig. 1

Single-peak Gaussian model for NO*(H) and the synthetic limb profile of band radiance determined by NO*(H) and the model temperature profile T(H).

Fig. 2
Fig. 2

Same as Fig. 1 except the model for NO*(H) is the sum of two displaced Gaussian functions.

Fig. 3
Fig. 3

Actual and retrieved excited density profiles NO*(H) for the noise-free case. However, the synthetic limb radiance profile was rounded to four significant figures.

Fig. 4
Fig. 4

Same as Fig. 3 except that the actual NO*(H) is represented by the double-peaked model.

Fig. 5
Fig. 5

Actual and retrieved temperature profiles. The retrieved profiles are shown for both single-peaked NO* and double-peaked NO*.

Fig. 6
Fig. 6

Actual and retrieved density profiles NO*(H) for (Sλ/Nλ)max = 500, double-peaked case.

Fig. 7
Fig. 7

Same as Fig. 6 except (Sλ/Nλ)max = 100.

Fig. 8
Fig. 8

Retrieved temperature profile for (Sλ/Nλ)max = 500, double-peaked case.

Fig. 9
Fig. 9

Same as Fig. 8 except (Sλ/Nλ)max = 100.

Equations (2)

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NO * ( H ) = 5 × 10 4 exp { [ ( H 115 ) / 5 ] 2 } ,
NO * ( H ) = 5 × 10 4 ( exp { [ ( H 115 ) / 4.3437 ] 2 } + exp { [ ( H 100 ) / 4.3437 ] 2 } )

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