Numerical simulation of the retrieval of aerosol size distribution from multiwavelength laser radar measurements.

A numerical investigation was carried out into the feasibility of deriving the aerosol size distribution from aerosol volume extinction and backscattering coefficient measurements by a multiwavelength laser radar. This study employs the regularization method for matrix inversion with the first-order B-spline function as basis functions to approximate the aerosol size distribution. The results of numerical simulations show that (1) the effects of roundoff errors in the numerical calculation are negligible and the approximation errors in the size distribution by the B-spline function are small, (2) the reconstruction errors in the size distribution at its peak are about twice as large as the relative measurement errors when the Lagrange multiplier, which determines the degree of smoothness in the reconstruction, is suitably chosen, and (3) the variation in the complex refractive index due to the humidity change does not produce large errors in the size distribution.

[1]  C. Junge,et al.  THE SIZE DISTRIBUTION AND AGING OF NATURAL AEROSOLS AS DETERMINED FROM ELECTRICAL AND OPTICAL DATA ON THE ATMOSPHERE , 1955 .

[2]  J F Potter.  Two-frequency lidar inversion technique. , 1987, Applied optics.

[3]  S. Twomey,et al.  On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature , 1963, JACM.

[4]  Y. Sasano,et al.  Significance of the extinction/backscatter ratio and the boundary value term in the solution for the two-component lidar equation. , 1984, Applied optics.

[5]  Y. Sasano,et al.  Error caused by using a constant extinction/backscattering ratio in the lidar solution. , 1985, Applied optics.

[6]  H. Quenzel,et al.  Information content of multispectral lidar measurements with respect to the aerosol size distribution. , 1985, Applied optics.

[7]  Michael D. King,et al.  Sensitivity of constrained linear inversions to the selection of the Lagrange multiplier. [for inferring columnar aerosol size distribution from spectral aerosol optical depth measurements] , 1982 .

[8]  T. Nakajima,et al.  Effects of atmospheric humidity on the refractive index and the size distribution of aerosols as estimated from light scattering measurements. , 1984 .

[9]  G. Yamamoto,et al.  Determination of aerosol size distribution from spectral attenuation measurements. , 1969, Applied optics.

[10]  H Quenzel,et al.  Information content of optical data with respect to aerosol properties: numerical studies with a randomized minimization-search-technique inversion algorithm. , 1981, Applied optics.

[11]  T. Nakajima,et al.  Simultaneous determination of complex refractive index and size distribution of airborne and water-suspended particles from light scattering measurements. , 1982 .

[12]  D. Hofmann,et al.  Sulfuric Acid Droplet Formation and Growth in the Stratosphere After the 1982 Eruption of El Chich�n , 1983, Science.

[13]  J. Klett.  Stable analytical inversion solution for processing lidar returns. , 1981, Applied optics.

[14]  David L. Phillips,et al.  A Technique for the Numerical Solution of Certain Integral Equations of the First Kind , 1962, JACM.

[15]  F. G. Fernald.  Analysis of atmospheric lidar observations: some comments. , 1984, Applied optics.

[16]  Benjamin M. Herman,et al.  Vertical Distribution of Aerosol Extinction Cross Section and Inference of Aerosol Imaginary Index in the Troposphere by Lidar Technique , 1980 .

[17]  J. Klett.  Lidar inversion with variable backscatter/extinction ratios. , 1985, Applied optics.

[18]  G. Shaw,et al.  Inversion of optical scattering and spectral extinction measurements to recover aerosol size spectra. , 1979, Applied optics.