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Optics Express

Optics Express

  • Vol. 17, Iss. 7 — Mar. 30, 2009
  • pp: 4944–4958

Optimal use of the information provided by indirect measurements of atmospheric vertical profiles

Simone Ceccherini, Piera Raspollini, and Bruno Carli  »View Author Affiliations

Optics Express, Vol. 17, Issue 7, pp. 4944-4958 (2009)

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A procedure for the optimal utilization and representation of the information retrieved from atmospheric observations is discussed. We show that the “measurement-space solution” exclusively contains the information present in the observations, but is not suitable for a representation of the retrieved profile in the form of a graph. The new method of the “null-space regularization”, which provides in a complement space an external constraint and makes the solution compliant with this representation, is presented. In this way the measurement and the constraint are separately determined and are given in a vertical grid that can be freely chosen as fine as desired. The method is applied to simulated measurements and is used to define a procedure for data fusion.

© 2009 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(010.1280) Atmospheric and oceanic optics : Atmospheric composition
(100.3190) Image processing : Inverse problems
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: November 12, 2008
Revised Manuscript: December 13, 2008
Manuscript Accepted: January 16, 2009
Published: March 16, 2009

Simone Ceccherini, Piera Raspollini, and Bruno Carli, "Optimal use of the information provided by indirect measurements of atmospheric vertical profiles," Opt. Express 17, 4944-4958 (2009)

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  1. C. D. Rodgers, Inverse Methods for Atmospheric Sounding: Theory and Practice, Vol. 2 of Series on Atmospheric, Oceanic and Planetary Physics (World Scientific, 2000). [CrossRef]
  2. S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements (Elsevier, New York, 1977).
  3. B. Carli, P. Raspollini, M. Ridolfi, and B. M. Dinelli, "Discrete representation and resampling in limb-sounding measurements," Appl. Opt. 40, 1261-1268 (2001). [CrossRef]
  4. A. Tikhonov, "On the solution of incorrectly stated problems and method of regularization," Dokl. Akad. Nauk. SSSR 151, 501-504 (1963).
  5. S. Twomey, "On the numerical solution of Fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature," J. Assoc. Comput. Mach. 10, 97-101 (1963).
  6. B. Schimpf and F. Schreier, "Robust and efficient inversion of vertical sounding atmospheric high-resolution spectra by means of regularization," J. Geophys. Res. 102, 16037-16055 (1997). [CrossRef]
  7. T. Steck, "Methods for determining regularization for atmospheric retrieval problems," Appl. Opt. 41, 1788-1797 (2002). [CrossRef] [PubMed]
  8. S. Ceccherini, "Analytical determination of the regularization parameter in the retrieval of atmospheric vertical profiles," Opt. Lett. 30, 2554-2556 (2005). [CrossRef] [PubMed]
  9. Q1. M. Ridolfi and L. Sgheri, "A self-adapting and altitude-dependent regularization method for atmospheric profile retrievals," Atmos. Chem. Phys. Discuss 8, 18007-18037 (2008). [CrossRef]
  10. C. D. Rodgers and B. J. Connor, "Intercomparison of remote sounding instruments," J. Geophys. Res. 108, 4116-4130 (2003). [CrossRef]
  11. S. Ceccherini, B. Carli, E. Pascale, M. Prosperi, P. Raspollini, and B. M. Dinelli, "Comparison of measurements made with two different instruments of the same atmospheric vertical profile," Appl. Opt. 42, 6465-6473 (2003). [CrossRef] [PubMed]
  12. J. Joiner and A. M. da Silva, "Efficient methods to assimilate remotely sensed data based on information content," Q. J. R. Meteorol. Soc. 124, 1669-1694 (1998). [CrossRef]
  13. Q2. T. von Clarmann and U. Grabowski, "Elimination of hidden a priori information from remotely sensed profile data," Atmos. Chem. Phys. 7, 397-408 (2007). [CrossRef]
  14. Q3. H. Fischer, M. Birk, C. Blom, B. Carli, M. Carlotti, T. von Clarmann, L. Delbouille, A. Dudhia, D. Ehhalt, M. Endemann, J. M. Flaud, R. Gessner, A. Kleinert, R. Koopman, J. Langen, M. López-Puertas, P. Mosner, H. Nett, H. Oelhaf, G. Perron, J. Remedios, M. Ridolfi, G. Stiller and R. Zander, "MIPAS: an instrument for atmospheric and climate research," Atmos. Chem. Phys. 8, 2151-2188 (2008). [CrossRef]
  15. M. Ridolfi, B. Carli, M. Carlotti, T. v. Clarmann, B. M. Dinelli, A. Dudhia, J.-M. Flaud, M. Höpfner, P. E. Morris,P. Raspollini, G. Stiller, and R. J. Wells, "Optimized forward model and retrieval scheme for MIPAS near-real-time data processing," Appl. Opt. 39, 1323-1340 (2000). [CrossRef]
  16. Q4. P. Raspollini, C. Belotti, A. Burgess, B. Carli, M. Carlotti, S. Ceccherini, B. M. Dinelli, A. Dudhia, J. M. Flaud, B. Funke, M. Höpfner, M. López-Puertas, V. Payne, C. Piccolo, J. J. Remedios, M. Ridolfi and R. Spang, "MIPAS level 2 operational analysis," Atmos. Chem. Phys. 6, 5605-5630 (2006). [CrossRef]
  17. A. Dudhia, V. L. Jay, and C. D. Rodgers, "Microwindow selection for high-spectral-resolution sounders," Appl. Opt. 41, 3665-3673 (2002). [CrossRef]

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