Derivation of the aerosol size distribution from a bistatic system of a multiwavelength laser with the singular value decomposition method

Applied Optics

Volumn 35, Issue 15, 1996, Pages 2642-2648

  Yoshiyama, Hidenori ^a   Ohi, Akihiko ^a   Ohta, Kazuyuki ^a  

^a NATL INST FOR RSRC AND ENVIRON   (Japan)

Author keywords

Aerosol; Bistatic system; Inversion; Multiwavelength laser; Size distribution

Indexed keywords

EID: 0005677949     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.002642     Document Type: Article

References (18)

1. A. A. Andersen, “New sampler for the collection, sizing, and enumeration of viable airborne particles,” J. Bacteriol. 76, 471-484 (1958).
2. J. V. Dave, “Determination of size distribution of spherical polydispersions using scattered radiation data,” Appl. Opt. 10,2035-2044(1971).
3. G. Yamamoto and M. Masayuki, “Determination of aerosol size distribution from spectral attenuation measurements,” Appl. Opt. 8,447-453 (1969).
4. H. Muller and H. Quenzel, “Information content of multispectral lidar measurements with respect to the aerosol size distribution,” Appl. Opt. 24, 648-654 (1985).
5. P. Qing, H. Nakane, Y. Sasano, and S. Kitamura, “Numerical simulation of the retrieval of aerosol size distribution from multiwavelength laser radar measurements,” Appl. Opt. 28, 5259-5265 (1989).
6. D. M. Byrne, “Remote detection of atmospheric particulates using a bistatic lidar,” Ph.D. dissertation (University of Arizona, Tucson, Ariz., 1978).
7. 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).
8. S. Twomey, “Comparison of constrained linear inversion and an iterative nonlinear algorithm applied to the indirect estimation of particle size distributions,” J. Comput. Phys. 18, 188-200(1975).
9. G. H. Golub and W. Kahan, “Calculating the singular values and pseudo-inverse of a matrix,” Soc. Ind. Appl. Math. J. Numer. Anal. Ser. B 2,205-224 (1965).
10. G. H. Golub and C. Reinsch, “Singular value decomposition and least squares solutions,” Numer. Math. 14, 40&-420 (1970).
11. G. E. Forsythe, M. A. Malcolm, and C. B. Moler, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, N.J., 1977).
12. R. J. Hanson, “A numerical method for solving Fredholm integral equations of the first kind using sigular values,” Soc. Ind. Appl. Math. J. Numer. Anal. 8,616-622 (1971).
13. H. Yoshiyama and T. Samukawa, “Numerical experiment for the estimation of size distribution of small particles with light extinction spectrum from singular value decomposition,” Ea-rozoru Kenkyu 7,144-151 (1992) (in Japanese).
14. H. Yoshiyama, T. Samukawa, and K. Ohta, “Estimation of size distribution of small particles from light extinction spectrum using singular value decomposition,” Earozoru Kenkyu 7, 339-345 (1992) (in Japanese).
15. H. Yoshiyama, A. Ohi, and K. Ohta, “Measurement of size distribution from angular distribution of scattered light and * its spectrum at a given scattering angle,” Earozoru Kenkyu 9, 134-143 (1994) (in Japanese).
16. H. Yoshiyama and T. Samukawa, “A simple technique to determine the refractive index of polystyrene latex particles using extinction spectrum,” Earozoru Kenkyu 6, 353-358 (1991) (in Japanese).
17. C. E. Jünge, “Die Rolle der Aerosole und der gasförmigen Beimengungen der Luft im Spurenstoffhaushalt der Troposphäre,” Tellus 5,1-26 (1953).
18. C. E. Jünge, “The size distribution and aging of natural aerosols as determined from electrical and optical data on the atmosphere,” J. Meteorol. 12,13-25 (1955).