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Applied Optics

Applied Optics


  • Vol. 40, Iss. 12 — Apr. 20, 2001
  • pp: 2004–2009

Comment on two-wavelength lidar inversion techniques

Gary G. Gimmestad  »View Author Affiliations

Applied Optics, Vol. 40, Issue 12, pp. 2004-2009 (2001)

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In a critique of two-wavelength lidar inversion techniques, Kunz [Appl. Opt. 38, 1015 (1999)] presented mathematical arguments that such techniques cannot yield unique solutions for extinction profiles. Ackermann [Appl. Opt. 38, 7414 (1999)] presented an analytical solution for the extinction profile from a two-wavelength lidar and also attempted to refute Kunz’s mathematical arguments. However, the fundamental reasons why the authors of these two papers reached different conclusions were not fully uncovered. These previous papers are critically examined, and a new mathematical proof of uniqueness is provided. Further analyses are presented to explain how the technique works, along with comments on its limitations.

© 2001 Optical Society of America

OCIS Codes
(010.3640) Atmospheric and oceanic optics : Lidar
(280.3640) Remote sensing and sensors : Lidar

Original Manuscript: March 30, 2000
Revised Manuscript: October 26, 2000
Published: April 20, 2001

Gary G. Gimmestad, "Comment on two-wavelength lidar inversion techniques," Appl. Opt. 40, 2004-2009 (2001)

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  1. J. F. Potter, “Two-frequency lidar inversion technique,” Appl. Opt. 26, 1250–1256 (1987). [CrossRef] [PubMed]
  2. J. Ackermann, “Two-wavelength lidar inversion algorithm for a two-component atmosphere,” Appl. Opt. 36, 5134–5143 (1997). [CrossRef] [PubMed]
  3. G. J. Kunz, “Two-wavelength lidar inversion algorithm,” Appl. Opt. 38, 1015–1020 (1999). [CrossRef]
  4. J. Ackermann, “Analytical solution of the two-frequency lidar inversion technique,” Appl. Opt. 38, 7414–7418 (1999). [CrossRef]
  5. The literature is inconsistent on this point. In Refs. 1 and 4 (and in this comment) the subscript S denotes the wavelength with the smaller extinction coefficient. In Refs. 2 and 3, it denotes the shorter wavelength.
  6. J. D. Klett, “Stable analytical inversion solution for processing lidar returns,” Appl. Opt. 20, 211–220 (1981). [CrossRef] [PubMed]
  7. F. G. Fernald, B. M. Herman, J. A. Reagan, “Determination of aerosol height distribution by lidar,” J. Appl. Meteorol. 11, 482–489 (1972). [CrossRef]
  8. A. Ansmann, M. Riebesell, U. Wandinger, C. Weitkamp, E. Voss, W. Lahmann, W. Michaelis, “Combined Raman elastic-backscatter LIDAR for vertical profiling of moisture, aerosol extinction, backscatter, and LIDAR ratio,” Appl. Phys. B 55, 18–29 (1992). [CrossRef]
  9. A. Ansmann, M. Riebesell, U. Wandinger, C. Weitkamp, E. Voss, W. Lahmann, W. Michaelis, “Independent measurement of extinction and backscatter profiles in cirrus clouds by using a combined Raman elastic-backscatter lidar,” Appl. Opt. 31, 7113–7131 (1992). [CrossRef] [PubMed]

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