Intercomparison of inversion algorithms for particle-sizing using mie scattering

Particle and Particle Systems Characterization

Volumn 25, Issue 3, 2008, Pages 216-230

  Riefler, Norbert ^a   Wriedt, Thomas ^b  

^a UNIVERSITY OF BREMEN   (Germany)

^b STIFTUNG INSTITUT FÜR WERKSTOFFTECHNIK   (Germany)

Author keywords

Elliptical mirror; Inverse problem; Regularization methods

Indexed keywords

ANGULAR DISTRIBUTION; CONVERGENCE OF NUMERICAL METHODS; DISTRIBUTION FUNCTIONS; FOOD ADDITIVES; GRAIN SIZE AND SHAPE; LIGHT SCATTERING; PARTICLE SIZE; PARTICLE SIZE ANALYSIS; REFRACTION; SCATTERING; SIZE DISTRIBUTION; STEREOCHEMISTRY;

ANGULAR RESOLUTIONS; CONVERGENCE PROPERTIES; DISTRIBUTION OF PARTICLES; ELLIPTICAL MIRROR; ELLIPTICAL MIRRORS; INFORMATION CONCERNING; INTER-COMPARISON; INVERSE PROBLEM; INVERSION ALGORITHMS; INVERSION METHODS; MIE-SCATTERING; OPTICAL ELEMENTS; OPTICAL MEASUREMENTS; PARAMETRIC FUNCTIONS; PARTICLE DIAMETERS; PARTICLE SIZE DISTRIBUTION; PHYSICAL MEASUREMENTS; REGULARIZATION METHODS; SCATTERED LIGHT; SIMULATED SCATTERING; SIZE CLASSES; SIZE RANGES; SPECIFIC DISTRIBUTION; SPHERICAL PARTICLES; ULTRASONIC NEBULIZER;

NORMAL DISTRIBUTION;

EID: 52949142395     PISSN: 09340866     EISSN: 15214117     Source Type: Journal    
DOI: 10.1002/ppsc.200700039     Document Type: Article

References (50)

1. R. Xu, Particle Characterization: Light Scattering Methods. Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000.
2. P. C. Hansen, Rank-Deficient and Discrete Ill-posed Problems: Numerical Aspects of Linear Inversion. SIAM, Philadelphia, 1998.
3. A. G. Ramm, Inverse Problems. Mathematical and Analytical Techniques with Application to Engineering. Springer, Boston, 2005.
4. A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation. SIAM, Philadelphia, 2004.
5. D. N. Ghosh Roy, L. S. Couchman, Inverse Problems and Inverse Scattering of Plane Waves. Academic Press, San Diego, CA 2002.
6. M. Kandlikar, G. Ramachandran, Inverse methods for analysing aerosol spectrometer measurements: A critical review. J. Aerosol Sci. 1999, 30, 413-437.
7. J. Vargas-Ubera, J. F. Aguilar, D. M. Gale, Reconstruction of particle-size distributions from light-scattering patterns using three inversion methods. Appl. Opt. 2007, 460, 124-132.
8. J. H. Koo, E. Dan Hirleman, Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light. Appl. Opt. 1992, 31, 2130-2140.
9. S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements. Elsevier, New York, 1977.
10. L. P. Bayvel, J. Knight, G. Robertson, Alternative model-independent inversion programme for malvern particle sizer. Part. Charact. 1987, 4, 49-53.
11. L. P. Bayvel, P. Eisenklam, M. Symons, R. Wood, An instrument for partciles size distribution measurements in the submicronic size range. Atomis. Spray Technol. 1987, 3, 135-143.
12. L. C. Chow, C. L. Tien, Inversion techniques for determining the droplet size distribution in clouds: numerical examination. Appl. Opt. 1976, 15, 378-383.
13. M. Heuer, K. Leschonski, Results obtained with a new instrument for the measurement of particle size distributions from diffraction patterns. Part. Charact. 1985, 2, 7-13.
14. R. Weichert, H. Mühlenweg, Development of a new optical particle sizer for the measurement of wide particle size distributions in hot gases, in Fine Solid Particles (Ed.: J. Schwedes), Shaker Verlag, Aachen, 1997, pp. 318-325.
15. H. Schnablegger, O. Glatter, Optical sizing of small colloidal particles: an optimized regularization technique. Appl. Opt. 1991, 30, 4889-4896.
16. Z. Sun, E. M. Sevick-Muraca, Inversion algorithms for particle sizing with photon migration measurement. AIChE J. 2001, 47, 1487-1498.
17. M. T. Chahine, Inverse problems in radiative transfer: Determination of atmospheric parameters. J. Atmos. Sci. 1970, 27, 960-967.
18. F. Ferri, M. Giglio, U. Perini, Inversion of light scattering data from fractals by the chahine iteratice algorithm. Appl. Opt. 1989, 28, 3074-3082.
19. M. Mitschke, PDA-relevante Streulichteigenschaften: Phänomene, Parameterwahl und mathematische Korrektur. VDI Verlag, Düsseldorf, 2000.
20. L. Landweber, An iteration formula for fredholm integral equations of the first kind. Am. J. Math. 1951, 73, 615-624.
21. W. Q. Yang, D. M. Spink, H. McCann, An image-reconstruction algorithm based on landweber's iteration method for electrical-capacitance tomography. Meas. Sci. Technol. 1999, 10, 1065-1089.
22. R. J. W. Hodgson, Genetic algorithm approach to particle identification by light scattering. J. Colloid Interface Sci. 2000, 229, 399-406.
23. B. Barkey, S. E. Paulson, A. Chung, Genetic algorithm inversion of dual polarization polar nephelometer data to determine aerosol refractive index. Aerosol Sci. Technol. 2007, 41, 751-760.
24. C. A. O. Nascimento, R. Guardani, M. Giulietti, Use of neural networks in the analysis of particle size distributions by laser diffraction. Powder Technol. 1997, 90, 89-94.
25. Z. Wang, Z. Ulanowski, P. H. Kaye, On solving the inverse scattering problem with rbf neural networks: Noise-free case. Neural Comput. Appl. 1998, 8, 177-186.
26. P. Coppens, L. Deriemaeker, R. Finsy, Shape and size determination by laser diffraction: Feasibility of data analysis by neural networks. Part. Part. Syst. Charact. 2000, 17, 117-125.
27. C. S. Hodges, J. A. S. Cleaver, M. Ghadiri, R. Jones, H. M. Pollock, Forces between polystyrene particles in water using the AFM Pull-off force vs particle size. Langmuir 2002, 18, 5741-5748.
28. M. Ye, S. Wang, Y. Lu, T Hu, Z. Zhu, Y. Xu, Inversion of particle-size distribution from angular light-scattering data with genetic algorithms. Appl. Opt. 1999, 38, 26772685.
29. D. A. Ligon, T. W Chen, J. B. Gillespie, Determination of aerosol parameters from light-scattering data using an inverse monte carlo technique. Appl. Opt. 1996, 35, 4297-4303.
30. S. D. Coston, N. George, Particle sizing by inversion of the optical transform pattern. Appl. Opt. 1992, 30, 4785-4794.
31. S. K. Friedlander, Smoke, Dust, and Haze. Fundamentals for Aerosol Dynamics. Oxford University Press, UK, 2000.
32. K. B. Aptowicz, R. K. Chang, Angularly-resolved elastic scatter from single particles collected over a large solid angle and with high resolution. J. Phys.: Conf Series 2005, 6, 90-96.
33. S. Arridge, P. van der Zee, D. T Delpy, M. Cope, Particles sizing in the Mie scattering region: singular-value analysis, Inv. Prob. 1989, 5, 671-689.
34. H. A. Stone, Dynamics of drop deformation and breakup in viscous fluids. Ann. Rev. Fluid Mech. 1994, 26, 65-102.
35. C. Crowe, M. Sommerfeld, Y. Tsuji, Multiphase Flows with Droplets and Particles. CRC Press, Boca Raton, FL, 1998.
36. A. H. Lefebvre, Atomizatkm and Sprays. Hemisphere Publishing Corporation, New York, 1989.
37. K. Hedrih, V. Babovic, D. Sarkovic, An auxiliary size distribution model for the ultrasonically produced water droplets. Exp. Therm. Fluid Sci. 2006, 30, 559-564.
38. C. Bohren, D. Huffman, Absorption and Scattering of Light by Small Particles. John Wiley & Sons, New York, 1983.
39. A. A. Kokhanovsky, Optics of Light Scattering Media. Springer, Chichester, UK 2001.
40. W. Wiscombe, Improved mie scattering algorithm. Appl. Opt. 1990, 19, 1505-1509.
41. N. C. Ford, Light scattering apparatus, in Dynamic Light Scattering. Applications of Photon Correlation Spectroscopy (Ed.: R. Pecora), Plenum Press, New York, 1985.
42. A. C. Bovik, On detecting edges in speckle imagery. IEEE Trans. Accoustic Speech Signal Process. 1988, 36, 1618-1627.
43. P. A. Kelly, H. Derin, K. D. Hartt, Adaptive segmentation of speckled images using a hierarchical random field model. IEEE Trans. Accoustic Speech Signal Process. 1988, 36, 1628-1641.
44. R. J. Mammone, X. Zhang, Robust speech processing as an inverse problem, in Digital Signal Processing Handbook (Eds.: V. K. Madisetti, D. B. Williams), CRC Press, Boca Raton, FL, 1999.
45. G. B. Giannakis, Cyclostatioflary signal analysis, in Digital Signal Processing Handbook (Eds.: V. K. Madisetti, D. B. Williams), CRC Press, Boca Raton, FL, 1999.
46. B. P. Lathi, Modern Digital and Analog Communication Systems. Oxford University Press, Oxford, 1998.
47. J. He, S.-M. Wang, J.-C. Cheng, S.-Y. Zhang, Inversion of particle size distribution from light scattering spectrum. Inverse Problems 1996, 12, 633-639.
48. M. Ye, S. Wang, Y. Xu, An inverse technique devised from modification of annealing-evolution algorithm for particle sizing by light scattering. Powder Technol. 1999, 104, 80-83.
49. K. D. Kammeyer, K. Kroschel, Digitale Signalverarbeitung. Filterung und Spektralanalyse mit MATLAB-Übungen. Teubnen Stuttgart, 2004.
50. C. L. Lawson, R. J. Hanson, Solving Least Squares Problems. Prentice Hall, Englewood Cliffs, NJ, 1974.