Absorption and scattering by fractal aggregates and by their equivalent coated spheres

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 151, Issue , 2015, Pages 310-326

  Kandilian, Razmig ^a   Heng, Ri Liang ^a   Pilon, Laurent ^a  

^a Department of Civil and Environmental Engineering   (United States)

Author keywords

Coated sphere; Equivalent particle; Fractal aggregates; Scattering; Superposition T matrix

Indexed keywords

AGGREGATES; MONOMERS; RADIATION EFFECTS; REFRACTIVE INDEX; REMOTE SENSING; SCATTERING; SPHERES;

ABSORPTION AND SCATTERINGS; COMPLEX INDEX OF REFRACTION; EQUIVALENT PARTICLE; FRACTAL AGGREGATE; RAYLEIGH-DEBYE-GANS APPROXIMATIONS; REMOTE SENSING APPLICATIONS; SCATTERING MATRIX ELEMENTS; T MATRIX;

FRACTAL DIMENSION;

ABSORPTION; AEROSOL; FRACTAL ANALYSIS; MODELING; SCATTERING; SIZE DISTRIBUTION;

EID: 84910599440     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2014.10.018     Document Type: Article

References (78)

1. Liou K.N., Takano Y., Yang P. Light absorption and scattering by aggregates. application to black carbon and snow grains. J Quant Spectrosc Radiat Transf 2011, 112(10):1581-1594.
2. Sorensen C.M. Light scattering by fractal aggregates. a review. Aerosol Sci Technol 2001, 35(2):648-687.
3. Takano Y., Liou K.N., Kahnert M., Yang P. The single-scattering properties of black carbon aggregates determined from the geometric-optics surface-wave approach and the T-matrix method. J Quant Spectrosc Radiat Transf 2013, 125:51-56.
4. Kimura H., Kolokolova L., Mann I. Optical properties of cometary dust. Astron Astrophys 2003, 407(1):L5-L8.
5. Norman T.J., Grant C.D., Maganaand D., Zhang J.Z., Liu J., et al. Near infrared optical absorption of gold nanoparticle aggregates. J Phys Chem B 2002, 106(28):7005-7012.
6. Guan J., Waite T.D., Amal R., Bustamante H., Wukasch R. Rapid determination of fractal structure of bacterial assemblages in wastewater treatment. implications to process optimisation. Water Sci Technol 1998, 38(2):9-15.
7. Jiang Q., Logan B.E. Fractal dimensions of aggregates determined from stead-state size distribution. Environ Sci Technol 1991, 25(12):2031-2038.
8. Jackson G.A., Maffione R., Costello D.K., Alldredge A.L., Logan B.E., Dam H.G. Particle size spectra between 1μm and 1cm at Monterey Bay determined using multiple instruments. Deep Sea Res Part I: Oceanogr Res Pap 1997, 44(11):1739-1767.
9. Friedlander S, Sioutas C. Final report: measurement of the effective surface area of ultrafine and accumulation mode PM (pilot project). Technical report R827352, United States Environmental Protection Agency, Los Angeles, CA; 2006.
10. Electron and Agricultural ResearchService Confocal Microscopy Laboratory, Rime and Graupel, United States Department of Agriculture, Beltsville, MD 2006. http://www.emu.arsusda.gov/snowsite/rimegraupel/rg.html.
11. Jet Propulsion Laboratory, A 10 micron interplanetary dust collected in the stratosphere, National Aeronautic and Space Administration, Pasadena, CA , 2003. http://www.stardust.jpl.nasa.gov/science/sd-particle.html#idp-s.
12. F.D.A. Keene, Clusters of roughly 30-nanometer gold nanoparticles imaged by transmission electron microscopy, National Institute of Standards and Technology, Gaithersburg, MD, 2011. http://www.nist.gov/mml/biochemical/cluster-102511.cfm.
13. Carr J. Micrococcus luteus 9757, centers for disease control and prevention: public health image library, Atlanta, GA; 2007.
14. Brennan L., Owende P. Biofuels from microalgae. a review of technologies for production, processing, and extractions of biofuels and co-products. Renew Sustain Energy Rev 2010, 14(2):557-577.
15. Dayananda C., Sarada R., Usha Rani M., Shamala T.R., Ravishankar G.A. Autotrophic cultivation of Botryococcus braunii for the production of hydrocarbons and exopolysaccharides in various media. Biomass Bioenergy 2007, 31(1):87-93.
16. Demura M., Ioki M., Kawachi M., Nakajima N., Watanabe M. Desiccation tolerance of Botryococcus braunii (trebouxiophyceae, chlorophyta) and extreme temperature tolerance of dehydrated cells. J Appl Phycol 2014, 26(1):49-53.
17. Díaz Bayona KC, Atehortúa Garcés L. Effect of different media on exopolysaccharide and biomass production by the green microalgae Botryococcus braunii. J Appl Phycol 2014;26(5):2087-95. http://dx.doi.org/10.1007/s10811-014-0242-5.
18. Souliés A., Pruvost J., Legrand J., Castelain C., Burghelea T.I. Rheological properties of suspensions of the green microalga Chlorella vulgaris at various volume fractions. Rheol Acta 2013, 52(6):589-605.
19. Cornet J.-F., Dussap C.-G. A simple and reliable formula for assessment of maximum volumetric productivities in photobioreactors. Biotechnol Prog 2009, 25(2):424-435.
20. Pilon L., Berberoğlu H., Kandilian R. Radiation transfer in photobiological carbon dioxide fixation and fuel production by microalgae. J Quant Spectrosc Radiat Transf 2011, 112(17):2639-2660.
21. Pruvost J., Cornet J.-F. Knowledge models for the engineering and optimization of photobioreactors. Microalgal biotechnology 2012, 181-224. De Gruyter, Berlin, Germany. C. Posten, C. Walter (Eds.).
22. Takache H., Pruvost J., Cornet J.-F. Kinetic modeling of the photosynthetic growth of Chlamydomonas reinhardtii in a photobioreactor. Biotechnol Progr 2012, 28(3):681-692.
23. Jonasz M., Fournier G. Light scattering by particles in water: theoretical and experimental foundations 2007, Academic Press, San Diego, CA.
24. Stramski D., Morel A., Bricaud A. Modeling the light attenuation and scattering by spherical phytoplanktonic cells. a retrieval of the bulk refractive index. Appl Opt 1988, 27(19):3954-3956.
25. Pottier L., Pruvost J., Deremetz J., Cornet J.F., Legrand J., Dussap C.G. A fully predictive model for one-dimensional light attenuation by Chlamydomonas reinhardtii in a torus photobioreactor. Biotechnol Bioeng 2005, 91(5):569-582.
26. Quirantes A., Bernard S. Light-scattering methods for modeling algal particles as a collection of coated and/or nonspherical scatterers. J Quant Spectrosc Radiat Transf 2006, 100(1-3):315-324.
27. 2 mitigation. Int J Hydrog Energy 2007, 32(13):2273-2285.
28. Davies-Colley R.J. Optical properties and reflectance spectra of 3 shallow lakes obtained from a spectrophotometric study. N Z J Mar Freshw Res 1983, 17(4):445-459.
29. Mackowski D.W., Mishchenko M.I. A multiple sphere T-matrix Fortran code for use on parallel computer clusters. J Quant Spectrosc Radiat Transf 2011, 112(13):2182-2192.
30. Xu Y.-L. Electromagnetic scattering by an aggregate of spheres. far field. Appl Opt 1997, 36(36):9496-9508.
31. Iskander M.F., Chen H.Y., Penner J.E. Optical scattering and absorption by branched chains of aerosols. Appl Opt 1989, 28(15):3083-3091.
32. Kahnert M., Nousiainen T., Lindqvist H. Review. model particles in atmospheric optics. J Quant Spectrosc Radiat Transf 2014, 146:41-58.
33. Drolen B.L., Tien C.L. Absorption and scattering of agglomerated soot particulate. J Quant Spectrosc Radiat Transf 1987, 37(5):433-448.
34. Lee E., Pilon L. Absorption and scattering by long and randomly oriented linear chains of spheres. J Opt Soc Am A 2013, 30(9):1892-1900.
35. Farias T.L., Köylü Ü.Ö., Carvalho M.G. Effects of polydispersity of aggregates and primary particles on radiative properties of simulated soot. J Quant Spectrosc Radiat Transf 1996, 55(3):357-371.
36. Sorensen C.M., Cai J., Lu N. Light-scattering measurements of monomer size, monomers per aggregate, and fractal dimension for soot aggregates in flames. Appl Opt 1992, 31(30):6547-6557.
37. Köylü Ü.Ö., Faeth G.M., Farias T.L., Carvalho M.G. Fractal and projected structure properties of soot aggregates. Combust Flame 1995, 100(4):621-633.
38. Farias T.L., Köylü Ü.Ö., Carvalho M.G. Range of validity of the Rayleigh-Debye-Gans theory for optics of fractal aggregates. Appl Opt 1996, 35(33):6560-6567.
39. Lapuerta M., Martos F.J., Martín-González G. Geometrical determination of the lacunarity of agglomerates with integer fractal dimension. J Colloid Interface Sci 2010, 346(1):23-31.
40. Mroczka J., Woźniak M., Onofri F.R.A. Algorithms and methods for analysis of the optical structure factor of fractal aggregates. Metrol Meas Syst 2012, 19(3):459-470.
41. Woźniak M., Onofri F.R.A., Barbosa S., Yon J., Mroczka J. Comparison of methods to derive morphological parameters of multi-fractal samples of particle aggregates from TEM images. J Aerosol Sci 2012, 47:12-26.
42. Mishchenko M.I., Travis L.D., Lacis A.A. Scattering, absorption, and emission of light by small particles 2002, Cambridge University Press, Cambridge, UK.
43. Mackowski D.W. A simplified model to predict the effects of aggregation on the absorption properties of soot particles. J Quant Spectrosc Radiat Transf 2006, 100(1-3):237-249.
44. Bohren C.F., Huffman D.R. Absorption and scattering of light by small particles 1983, Wiley & Sons, New York, NY.
45. Modest M.F. Radiative heat transfer 2003, Academic Press, San Diego, CA.
46. Yang B., Köylü Ü.Ö. Soot processes in a strongly radiating turbulent flame from laser scattering/extinction experiments. J Quant Spectrosc Radiat Transf 2005, 93(1-3):289-299.
47. Wang G., Sorensen C.M. Experimental test of the Rayleigh-Debye-Gans theory for light scattering by fractal aggregates. Appl Opt 2002, 41(22):4645-4651.
48. Bushell G. Forward light scattering to characterize structure of flocs composed of large particles. Chem Eng J 2005, 111(23):145-149.
49. Liu F., Wong C., Snelling D.R., Smallwood G.J. Investigation of absorption and scattering properties of soot aggregates of different fractal dimension at 532nm using RDG and GMM. Aerosol Sci Technol 2013, 47(12):1393-1405.
50. Liu F, Snelling DR, Smallwood GJ. Effects of the fractal prefactor on the optical properties of fractal soot aggregates. In: ASME 2009 2nd Micro/Nanoscale Heat & Mass Transfer International Conference, Shanghai, China; 2009, MNHMT2009-18473.
51. Yurkin M.A., Hoekstra A.G. The discrete dipole approximation. an overview and recent developments. J Quant Spectrosc Radiat Transf 2007, 106:558-589.
52. Manickavasagam S., Mengüç M.P. Scattering matrix elements of fractal-like soot agglomerates. Appl Opt 1997, 36(6):1337-1351.
53. Liu L., Mishchenko M.I. Effects of aggregation on scattering and radiative properties of soot aerosols. J Geophys Res Atmos 2005, 110(D11211).
54. Liu L., Mishchenko M.I. Scattering and radiative properties of complex soot and soot-containing aggregate particles. J Quant Spectrosc Radiat Transf 2007, 106(1-3):262-273.
55. Liu L., Mishchenko M.I., Arnott W.P. A study of radiative properties of fractal soot aggregates using the superposition T-matrix method. J Quant Spectrosc Radiat Transf 2008, 109(15):2656-2663.
56. Dlugach J.M., Mishchenko M.I., Mackowski D.W. Numerical simulations of single and multiple scattering by fractal ice clusters. J Quant Spectrosc Radiat Transf 2011, 112(11):1864-1870.
57. Latimer P. Experimental tests of a theoretical method for predicting light scattering by aggregates. Appl Opt 1985, 24(19):3231-3239.
58. Bricaud A., Bedhomme A.L., Morel A. Optical properties of diverse phytoplanktonic species. experimental results and theoretical interpretation. J Plankton Res 2008, 10(8):51-73.
59. Morel A., Ahn Y.H. Optics of heterotrophic nanoflagellates and ciliates. a tentative assessment of their scattering role in oceanic waters compared to those of bacterial and algal cells. J Mar Res 1991, 49:177-202.
60. Lee E., Heng R.-L., Pilon L. Spectral optical properties of selected photosynthetic microalgae producing biofuels. J Quant Spectrosc Radiat Transf 2013, 114:122-135.
61. Skorupski K., Mroczka J., Wriedt T., Riefler N. A fast and accurate implementation of tunable algorithms used for generation of fractal-like aggregate models. Physica A: Stat Mech Appl 2014, 404:106-117.
62. Heng R-L, Sy KC, Pilon L. Absorption and scattering by bispheres, quadspheres, and circular rings of spheres and their equivalent coated spheres. J Opt Soc Am A 2015;32(1), accepted.
63. Matzler C. MATLAB functions for Mie scattering and absorption, version 2, Institut für Angewandte Physik, Bern, Switzerland, report no. 2002-11, 2002.
64. Kandilian R., Lee E., Pilon L. Radiation and optical properties of Nannochloropsis oculata grown under different irradiances and spectra. Bioresour Technol 2013, 137:63-73.
65. Heng R.-L., Lee E., Pilon L. Radiation characteristics and optical properties of filamentous cyanobacterium Anabaena cylindrica. J Opt Soc Am A 2014, 31(4):836-845.
66. 2 mitigation. Int J Hydrog Energy 2007, 32(13):2273-2285.
67. Lee E., Pruvost J., He X., Munipalli R., Pilon L. Design tool and guidelines for outdoor photobioreactors. Chem Eng Sci 2014, 116:18-29.
68. Mishchenko MI. Electromagnetic scattering by particles and particle groups: an introduction. New York, NY: Cambridge University Press.
69. Kerker M. The scattering of light, and other electromagnetic radiation 1969, Academic Press, New York, NY.
70. Mc Kellar B.H.J., Box M.A. The scaling group of the radiative transfer equation. J Atmos Sci 1981, 38:1063-1068.
71. Dombrovski L.A., Randrianalisoa J., Baillis D., Pilon L. Use of Mie theory to analyze experimental data to identify infrared properties of fused quartz containing bubbles. Appl Opt 2005, 44(33):7021-7031.
72. Hammer M., Yaroslavsky A.N., Schweitzer D. A scattering phase function for blood with physiological haematocrit. Phys Med Biol 2001, 46(3):65-69.
73. Friebel M., Roggan A., Mueller G., Meinke M. Determination of optical properties of human blood in the spectral range 250 to 1100nm using Monte-Carlo simulations with hematocrit-dependent effective scattering phase functions. J Biomed Opt 2006, 11(3):034021.
74. Haltrin V.I. One-parameter two-term Henyey-Greenstein phase function for light scattering in seawater. Appl Opt 2002, 41(6):1022-1028.
75. Mobley C.D., Sundman L.K., Boss E. Phase function effects on oceanic light fields. Appl Opt 2002, 41(6):1035-1050.
76. West R.A. Optical properties of aggregate particles whose outer diameter is comparable to the wavelength. Appl Opt 1991, 30(36):5316-5324.
77. Mackowski D.W., Mishchenko M.I. Calculation of the T-matrix and the scattering matrix for ensembles of spheres. J Opt Soc Am A 1996, 13(11):2266-2278.
78. Mishchenko M.I., Mackowski D.W., Travis L.D. Scattering of light by bispheres with touching and separated components. Appl Opt 1995, 34(21):4589-4599.