Abstract

The information content of a set of optical data with respect to the particle size distribution is discussed in a numerical study. We show how the kernels of the integral equation relating size distribution and optical properties can be used to determine the particle size range in which an inversion of the size distribution is possible. We present an iterative least squares fit algorithm allowing the inversion of optical data to yield a histogram distribution for the particle size distribution. We discuss the uniqueness and stability of the solutions in relation to the range of radii and in relation to the number of histogram columns by means of synthetic data calculated via Mie theory.

© 1981 Optical Society of America

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  1. A. Fymat, in “Inversion Methods in Atmospheric Remote Sounding,” NASA CP-004 (1976).
  2. H. Quenzel, H. Müller, “Optical Properties of Single Mie Particles: Diagrams of Intensity-, Extinction-, Scattering- and Absorption Efficiencies,” Wissenschaftliche Mitteilung Nr. 34., U. München, Meteorologisches Institut (1978).
  3. C. Junge, Ber. Dtsch. Wetterdienstes 35, 261, 1952.
  4. K. T. Whitby, G. M. Sverdrup, in The Character and Origins of Smog Aerosols, G. M. Hidy, P. K. Mueller, Eds. (Wiley, New York, 1980).
  5. J. Heintzenberg, Contrib. Atmos. Phys. 51, 91 (1978).
  6. H. Quenzel, J. Geophys. Res. 75, 2915 (1970).
    [CrossRef]

1978 (1)

J. Heintzenberg, Contrib. Atmos. Phys. 51, 91 (1978).

1970 (1)

H. Quenzel, J. Geophys. Res. 75, 2915 (1970).
[CrossRef]

1952 (1)

C. Junge, Ber. Dtsch. Wetterdienstes 35, 261, 1952.

Fymat, A.

A. Fymat, in “Inversion Methods in Atmospheric Remote Sounding,” NASA CP-004 (1976).

Heintzenberg, J.

J. Heintzenberg, Contrib. Atmos. Phys. 51, 91 (1978).

Junge, C.

C. Junge, Ber. Dtsch. Wetterdienstes 35, 261, 1952.

Müller, H.

H. Quenzel, H. Müller, “Optical Properties of Single Mie Particles: Diagrams of Intensity-, Extinction-, Scattering- and Absorption Efficiencies,” Wissenschaftliche Mitteilung Nr. 34., U. München, Meteorologisches Institut (1978).

Quenzel, H.

H. Quenzel, J. Geophys. Res. 75, 2915 (1970).
[CrossRef]

H. Quenzel, H. Müller, “Optical Properties of Single Mie Particles: Diagrams of Intensity-, Extinction-, Scattering- and Absorption Efficiencies,” Wissenschaftliche Mitteilung Nr. 34., U. München, Meteorologisches Institut (1978).

Sverdrup, G. M.

K. T. Whitby, G. M. Sverdrup, in The Character and Origins of Smog Aerosols, G. M. Hidy, P. K. Mueller, Eds. (Wiley, New York, 1980).

Whitby, K. T.

K. T. Whitby, G. M. Sverdrup, in The Character and Origins of Smog Aerosols, G. M. Hidy, P. K. Mueller, Eds. (Wiley, New York, 1980).

Ber. Dtsch. Wetterdienstes (1)

C. Junge, Ber. Dtsch. Wetterdienstes 35, 261, 1952.

Contrib. Atmos. Phys. (1)

J. Heintzenberg, Contrib. Atmos. Phys. 51, 91 (1978).

J. Geophys. Res. (1)

H. Quenzel, J. Geophys. Res. 75, 2915 (1970).
[CrossRef]

Other (3)

K. T. Whitby, G. M. Sverdrup, in The Character and Origins of Smog Aerosols, G. M. Hidy, P. K. Mueller, Eds. (Wiley, New York, 1980).

A. Fymat, in “Inversion Methods in Atmospheric Remote Sounding,” NASA CP-004 (1976).

H. Quenzel, H. Müller, “Optical Properties of Single Mie Particles: Diagrams of Intensity-, Extinction-, Scattering- and Absorption Efficiencies,” Wissenschaftliche Mitteilung Nr. 34., U. München, Meteorologisches Institut (1978).

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