Many-body iterative T-matrix method for large aspect ratio particles

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 127, Issue , 2013, Pages 165-175

  Sun, Bingqiang ^a   Yang, Ping ^a   Kattawar, George W ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Large aspect ratio particles; Prolate particles; T matrix method

Indexed keywords

A-PARTICLES; LARGE ASPECT RATIO; MANY-BODY; ROTATIONAL AXIS; ROTATIONAL SYMMETRIES; SCATTERING PROPERTY; T-MATRIX; T-MATRIX METHOD;

ITERATIVE METHODS; PLASMONS; REFRACTIVE INDEX; SCATTERING;

ASPECT RATIO;

ALGORITHM; MATRIX; NUMERICAL MODEL; SCATTERING;

EID: 84881242914     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2013.05.012     Document Type: Article

References (39)

1. van de Hulst H.C. Light scattering by small particles 1981, Dover Publications, Inc., New York, NY.
2. Bohren C.F., Huffman D.R. Absorption and scattering of light by small particles 2008, Wiley-VCH Verlag GmbH, Weinheim, Germany.
3. Asano S., Yamamoto G. Light scattering by a spheroidal particle. Appl Opt 1975, 14:29-49.
4. Asano S. Light scattering properties of spheroidal particles. Appl Opt 1979, 18:712-723.
5. Asano S., Sato M. Light scattering by randomly oriented spheroidal particles. Appl Opt 1980, 19:962-974.
6. Yee K. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans Antennas Propag 1966, 14:302-307.
7. Taflove A., Hagness S.C. Computational electrodynamics 2000, Artech House, Boston London.
8. Yang P., Liou K. Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space. J Opt Soc Am A 1996, 13:2072-2085.
9. Purcell E.M., Pennypacker C.R. Scattering and absorption of light by nonspherical dielectric grains. Astrophys J 1973, 186:705-714.
10. Draine B.T. The discrete-dipole approximation and its application to interstellar graphite grains. Astrophys J 1988, 333:848-872.
11. Yurkin M.A., Hoekstra A.G. The discrete dipole approximation: an overview and recent developments. J Quant Spectrosc Radiat Transfer 2007, 106:558-589.
12. Liu Q. The PSTD algorithm: a time-domain method requiring only two cells per wavelength. Microwave Opt Technol Lett 1998, 15:158-165.
13. Liu Q.H. The pseudospectral time-domain (PSTD) algorithm for acoustic waves in absorptive media. IEEE Trans Ultrason Ferroelectrics Freq Control 1998, 45:1044-1055.
14. Chen G., Yang P., Kattawar G.W. Application of the pseudospectral time-domain method to the scattering of light by nonspherical particles. J Opt Soc Am A 2008, 25:785-790.
15. Yang P., Liou K. Geometric-optics-integral-equation method for light scattering by nonspherical ice crystals. Appl Opt 1996, 35:6568-6584.
16. Yang P., Liou K. Light scattering by hexagonal ice crystals: solutions by a ray-by-ray integration algorithm. J Opt Soc Am A 1997, 14:2278-2289.
17. Bi L., Yang P., Kattawar G.W., Kahn R. Modeling optical properties of mineral aerosol particles by using nonsymmetric hexahedra. Appl Opt 2010, 49:334-342.
18. Bi L., Yang P., Kattawar G.W., Hu Y., Baum B.A. Scattering and absorption of light by ice particles: solution by a new physical-geometric optics hybrid method. J Quant Spectrosc Radiat Transfer 2011, 112:1492-1508.
19. Waterman P. Matrix formulation of electromagnetic scattering. Proc IEEE 1965, 53:805-812.
20. Waterman P. Symmetry, unitarity, and geometry in electromagnetic scattering. Phys Rev D 1971, 3:825.
21. Zheng W., Ström S. The null-field approach to electromagnetic resonance of composite objects. Comput Phys Commun 1991, 68:157-174.
22. Strom S., Zheng W. The null field approach to electromagnetic scattering from composite objects. IEEE Trans Antennas Propag 1988, 36:376-383.
23. Mishchenko M. Light scattering by randomly oriented axially symmetric particles. J Opt Soc Am A 1991, 8:871-882.
24. Mishchenko M.I. Light scattering by size-shape distributions of randomly oriented axially symmetric particles of a size comparable to a wavelength. Appl Opt 1993, 32:4652-4666.
25. Mishchenko M.I., Travis L.D. T-matrix computations of light scattering by large spheroidal particles. Opt Commun 1994, 109:16-21.
26. Mishchenko M.I., Travis L.D., Macke A. Scattering of light by polydisperse, randomly oriented, finite circular cylinders. Appl Opt 1996, 35:4927-4940.
27. Wielaard D.J., Mishchenko M.I., Macke A., Carlson B.E. Improved T-matrix computations for large, nonabsorbing and weakly absorbing nonspherical particles and comparison with geometrical-optics approximation. Appl Opt 1997, 36:4305-4313.
28. Pulbere S., Wriedt T. Light scattering by cylindrical fibers with high aspect ratio using the null-field method with discrete sources. Part Part Syst Charact 2004, 21:213-218.
29. Yan W.-Z., Du Y., Wu H., Liu D., Wu B.-I. EM scattering from a long dielectric circular cylinder. Prog Electromagn Res 2008, 85:39-67.
30. Yan W, Liu D, Du Y, Ewe HT. EM scattering from multiple cylinders. In: Geoscience and remote sensing symposium, 2009 IEEE international. IGARSS 2009, IEEE; 2009. p. II-730-II-3.
31. Mishchenko M.I., Travis L.D., Lacis A.A. Scattering, absorption, and emission of light by small particles 2002, Cambridge University Press, Cambridge, UK.
32. Friedman B., Russek J. Addition theorems for spherical waves. Q Appl Math 1954, 12:13-23.
33. Stein S. Addition theorems for spherical wave functions. Q Appl Math 1961, 19.
34. Cruzan O.R. Translational addition theorems for spherical vector wave functions. Q Appl Math 1962, 20:33-40.
35. Fuller KA, Mackowski DW. Electromagnetic scattering by compounded spherical particles. In: Light scattering by nonspherical particles: theory, measurements, and applications, vol. 1; 2000. p. 226.
36. Mishchenko M.I., Travis L.D. Capabilities and limitations of a current FORTRAN implementation of the T-matrix method for randomly oriented, rotationally symmetric scatterers. J Quant Spectrosc Radiat Transfer 1998, 60:309-324.
37. Mishchenko M.I. Calculation of the amplitude matrix for a nonspherical particle in a fixed orientation. Appl Opt 2000, 39:1026-1031.
38. Yurkin MA, Hoekstra AG. User manual for the discrete dipole approximation code ADDA v. 0.79; 2009.
39. Mackowski D., Mishchenko M. A multiple sphere T-matrix Fortran code for use on parallel computer clusters. J Quant Spectrosc Radiat Transfer 2011, 112:2182-2192.