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Applied Optics

Applied Optics


  • Vol. 15, Iss. 2 — Feb. 1, 1976
  • pp: 378–383

Inversion techniques for determining the droplet size distribution in clouds: numerical examination

L. C. Chow and C. L. Tien  »View Author Affiliations

Applied Optics, Vol. 15, Issue 2, pp. 378-383 (1976)

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The Phillips-Twomey and Backus-Gilbert inversion techniques are applied to determine the size distribution of water droplets in clouds from light scattering data at backward angles. The data are generated numerically from the Mie scattering functions and an assumed cloud model. The size distribution is recovered from these data using the two inversion techniques and is compared with the assumed model. It is found that the Phillips-Twomey technique gives better agreement between the assumed and recovered size distributions than the Backus-Gilbert technique. Also, it is more stable to random errors artificially introduced into the scattering data.

© 1976 Optical Society of America

Original Manuscript: November 4, 1974
Published: February 1, 1976

L. C. Chow and C. L. Tien, "Inversion techniques for determining the droplet size distribution in clouds: numerical examination," Appl. Opt. 15, 378-383 (1976)

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  1. R. Frith, Q. J. R. Meteorol. Soc. 77, 441 (1951). [CrossRef]
  2. W. G. Durbin, Tellus 11, 202 (1959). [CrossRef]
  3. D. L. Phillips, J. Assoc. Comput. Mach. 9, 84 (1962). [CrossRef]
  4. S. Twomey, J. Assoc. Comput. Mach. 10, 97 (1963). [CrossRef]
  5. G. E. Backus, J. F. Gilbert, Philos. Trans. R. Soc. Lond. A266, 123 (1970).
  6. B. M. Herman, S. R. Browning, J. A. Reagan, J. Atmos. Sci. 28, 763 (1971). [CrossRef]
  7. E. R. Westwater, A. Cohen, Appl. Opt. 12, 1340 (1973). [CrossRef] [PubMed]
  8. D. Deirmendjian, Appl. Opt. 3, 187 (1964). [CrossRef]
  9. S. Twomey, H. B. Howell, Appl. Opt. 6, 2125 (1967). [CrossRef] [PubMed]
  10. J. V. Dave, Rep. 320-3237, IBM Scientific Center (1968).
  11. J. V. Dave, Appl. Opt. 8, 1161 (1969). [CrossRef] [PubMed]

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