Stability in Debye series calculation for light scattering by absorbing particles and bubbles

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 111, Issue 5, 2010, Pages 772-781

  Shen, Jianqi ^a   Wang, Huarui ^a   Wang, Bingshan ^a   Yu, Haitao ^a   Yu, Bin ^a  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

Author keywords

Debye series calculation; Light scattering; Recurrence

Indexed keywords

DEBYE SERIES; DEBYE SERIES CALCULATION; GEOMETRICAL OPTICS APPROXIMATIONS; IMPROVED ALGORITHM; LOGARITHMIC DERIVATIVES; NUMERICAL STABILITIES;

BESSEL FUNCTIONS; CONVERGENCE OF NUMERICAL METHODS; HARMONIC ANALYSIS; LIGHT SCATTERING; REFRACTION; SCATTERING;

LIGHT;

ALGORITHM; BUBBLE; LIGHT SCATTERING; OPTICAL THEORY;

EID: 74749090485     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2009.11.009     Document Type: Article

References (29)

1. Bohren C.F., and Huffman D.R. Absorption and scattering of light by small particles (1983), Wiley, New York
2. Kerker M. The Scattering of Light and Other Electromagnetic Radiation (1969), Academic press, New York
3. Van de Hulst H.C. Light scattering by small particles (1957), Chapman and Hall, London
4. Hovenac E.A., and Lock J.A. Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series. J Opt Soc Am A 9 5 (1992) 781-795
5. Lock J.A. Cooperative effects among partial waves in Mie scattering. J Opt Soc Am A 5 12 (1988) 2032-2044
6. Han X., Jiang H., Ren K., et al. On rainbows of inhomogeneous spherical droplets. Opt Commun 269 (2007) 291-298
7. Laven P. The optics of a water drop: Mie scattering and the Debye series, 2004 ⟨http://www.philiplaven.com/index1.html〉.
8. Laven P. Simulation of rainbows, coronas and glories using Mie theory and the Debye series. J Quant Spect Rad Trans 89 1-4 (2004) 257-269
9. Li R., Han X., Jiang H., et al. Debye series for light scattering by a multilayered sphere. Appl Opt 45 6 (2006) 1260-1270
10. Li R., Han X., Jiang H., et al. Debye series of normally incident plane-wave scattering by an infinite multilayered cylinder. Appl Opt 45 24 (2006) 6255-6262
11. Li R., Han X., Shi L., et al. Debye series for Gaussian beam scattering by a multilayered sphere. Appl Opt 46 21 (2007) 4804-4812
12. Lock J.A. Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle. J Opt Soc Am A 10 4 (1993) 693-706
13. Lock J.A., Jamison J.M., and Lin C. Rainbow scattering by a coated sphere. Appl Opt 33 21 (1994) 4677-4690
14. Lock J.A., and Adler C.L. Debye-series analysis of the first-order rainbow produced in scattering of a diagonally incident plane wave by a circular cylinder. J Opt Soc Am A 14 6 (1997) 1316-1328
15. Li X., Han X., Li R., et al. Geometrical-optics approximation of forward scattering by gradient-index spheres. Appl Opt 46 22 (2007) 5241-5247
16. Wu L., Yang H., Li X., et al. Scattering by large bubbles: comparisons between geometrical-optics theory and Debye series. J Quant Spect Rad Trans 108 1 (2007) 54-64
17. Xu F., Ren K., and Cai X. Extension of geometrical optics approximation to on-axis Gaussian beam scattering. I. By a spherical particle. Appl Opt 45 20 (2006) 4990-4999
18. Kattawar G.W., and Plass G.N. Electromagnetic scattering from absorbing spheres. Appl Opt 6 8 (1967) 1377-1382
19. Shen J., and Cai X. Algorithm of numerical calculation on Lorentz Mie theory. PIERS Online 1 6 (2005) 691-694. http://piers.mit.edu/piersonline/piers.php?volume=1&number=6&year=2005 〈http://piers.mit.edu/piersonline/piers.php?volume=1&number=6 & mp;year=2005〉
20. Du H. Mie-scattering calculation. Appl Opt 43 9 (2004) 1951-1956
21. Yang W. Improved recursive algorithm for light scattering by a multilayered sphere. Appl Opt 42 9 (2003) 1710-1720
22. Dave J.V. Scattering of electromagnetic radiation by a large, absorbing sphere. IBM J Res Develop 13 (1969) 302-313
23. Dave J.V. Coefficients of the Legendre and Fourier series for the scattering functions of spherical particles. Appl Opt 9 8 (1970) 1888-1896
24. Lentz W.J. Generating Bessel functions in Mie scattering calculations using continued fractions. Appl Opt 15 3 (1976) 668-671
25. Liu L., Wang H., Yu B., et al. Improved algorithm of light scattering by a coated sphere. China Particuology 5 3 (2007) 230-236
26. Wiscombe W.J. Improved Mie scattering algorithms. Appl Opt 19 9 (1980) 1505-1509
27. Laven P. MiePlot A. computer program for scattering of light from a sphere using Mie theory & the Debye series, 2009 〈http://www.philiplaven.com/mieplot.htm〉.
28. Hale G.M., and Querry M.R. Optical constants of water in the 200-μm to 200-nm wavelength region. Appl Opt 12 (1973) 555-563
29. 〈http://refractiveindex.info/index.php?group=METALS&material=F_ SILICA&wavelength=0.5876〉, 2009