×

Mie scattering computation of spherical particles with very large size parameters using an improved program with variable speed and accuracy. (English) Zbl 1218.78038

Summary: The electromagnetic radiation scattering patterns were computed using an improved C program to study variations in the patterns with changes in the size distribution, size parameters and refractive index of small particles in a volume element. The particle size distributions considered were gamma, normal and lognormal. The program is stable for computation of the theoretical values of the non-zero elements of the scattering matrix, efficiency factors, single scattering albedo, radiation pressure and asymmetry parameter for particles ranging from very small to very large size parameters. One of the significant features of the program is that it incorporates two methods for the determination of the optimal number of terms required for the computation of Mie series with the added benefit of having the option of either going for computational speed or accuracy. After a comparison of the C program with other reported benchmark results, it has been found that the program is very accurate and reliable for electromagnetic scattering computations.

MSC:

78A45 Diffraction, scattering
78M25 Numerical methods in optics (MSC2010)

Software:

scattnlay
Full Text: DOI

References:

[1] Bohren CF, Absorption and Scattering of Light by Small Particles (1983)
[2] van de Hulst HC, Light Scattering by Small Particles (1981)
[3] Mishchenko MI, Scattering Absorption and Emission of Light by Small Particles, 2nd electronic ed. (2005)
[4] DOI: 10.1142/9789814317689 · doi:10.1142/9789814317689
[5] DOI: 10.1016/S0022-4073(02)00319-9 · doi:10.1016/S0022-4073(02)00319-9
[6] DOI: 10.1007/BF00168069 · doi:10.1007/BF00168069
[7] DOI: 10.1029/2002JD003291 · doi:10.1029/2002JD003291
[8] Voshchinnikov NV, Astron. Astrophys. 288 pp 886– (1994)
[9] DOI: 10.1051/0004-6361:20053727 · doi:10.1051/0004-6361:20053727
[10] DOI: 10.1029/2006JD008074 · doi:10.1029/2006JD008074
[11] Gogoi A, Indian J. Phys. 82 pp 147– (2008)
[12] DOI: 10.1007/s12648-009-0028-9 · doi:10.1007/s12648-009-0028-9
[13] DOI: 10.1088/0957-0233/20/9/095901 · doi:10.1088/0957-0233/20/9/095901
[14] Okamoto H, Earth Planets Space 50 pp 577– (1998) · doi:10.1186/BF03352151
[15] DOI: 10.1016/S0022-4073(02)00321-7 · doi:10.1016/S0022-4073(02)00321-7
[16] DOI: 10.1002/(SICI)1521-4117(199804)15:2<67::AID-PPSC67>3.0.CO;2-F · doi:10.1002/(SICI)1521-4117(199804)15:2<67::AID-PPSC67>3.0.CO;2-F
[17] DOI: 10.1109/PROC.1965.4055 · doi:10.1109/PROC.1965.4055
[18] DOI: 10.1364/JOSAA.12.000162 · doi:10.1364/JOSAA.12.000162
[19] DOI: 10.1364/JOSAA.11.001491 · doi:10.1364/JOSAA.11.001491
[20] DOI: 10.1364/JOSAA.19.000881 · doi:10.1364/JOSAA.19.000881
[21] DOI: 10.1080/09500349808231681 · doi:10.1080/09500349808231681
[22] DOI: 10.1016/j.jqsrt.2004.08.004 · doi:10.1016/j.jqsrt.2004.08.004
[23] DOI: 10.1364/AO.24.003254 · doi:10.1364/AO.24.003254
[24] DOI: 10.1364/AO.30.004696 · doi:10.1364/AO.30.004696
[25] DOI: 10.1016/S1355-2198(99)00001-5 · Zbl 1222.01021 · doi:10.1016/S1355-2198(99)00001-5
[26] DOI: 10.1016/j.jqsrt.2009.03.008 · doi:10.1016/j.jqsrt.2009.03.008
[27] DOI: 10.1007/s12596-009-0007-8 · doi:10.1007/s12596-009-0007-8
[28] DOI: 10.1016/j.jqsrt.2004.05.026 · doi:10.1016/j.jqsrt.2004.05.026
[29] DOI: 10.1051/0004-6361:20030456 · doi:10.1051/0004-6361:20030456
[30] DOI: 10.1103/PhysRevA.78.013806 · doi:10.1103/PhysRevA.78.013806
[31] DOI: 10.1016/j.jqsrt.2008.01.009 · doi:10.1016/j.jqsrt.2008.01.009
[32] DOI: 10.1364/JOSAA.14.003014 · doi:10.1364/JOSAA.14.003014
[33] DOI: 10.1364/AO.42.000436 · doi:10.1364/AO.42.000436
[34] DOI: 10.1051/0004-6361:20030456 · doi:10.1051/0004-6361:20030456
[35] DOI: 10.1016/j.jqsrt.2009.01.020 · doi:10.1016/j.jqsrt.2009.01.020
[36] Shah GA, Kodalkanal Obs. Bull. Ser. A 2 pp 42– (1977)
[37] DOI: 10.1175/2008BAMS2632.1 · doi:10.1175/2008BAMS2632.1
[38] DOI: 10.1016/j.optcom.2009.10.092 · doi:10.1016/j.optcom.2009.10.092
[39] DOI: 10.1364/AO.11.001919 · doi:10.1364/AO.11.001919
[40] DOI: 10.1016/j.cpc.2009.07.010 · Zbl 1197.78003 · doi:10.1016/j.cpc.2009.07.010
[41] DOI: 10.1016/j.cpc.2004.06.070 · Zbl 1196.78007 · doi:10.1016/j.cpc.2004.06.070
[42] DOI: 10.1364/AO.19.001505 · doi:10.1364/AO.19.001505
[43] DOI: 10.1364/AO.17.002700 · doi:10.1364/AO.17.002700
[44] DOI: 10.1364/AO.3.000187 · doi:10.1364/AO.3.000187
[45] Kokhanovsky AA, Aerosol Optics Light Absorption and Scattering by Particles in the Atmosphere (2008)
[46] DOI: 10.1175/1520-0477(1998)079<0831:OPOAAC>2.0.CO;2 · doi:10.1175/1520-0477(1998)079<0831:OPOAAC>2.0.CO;2
[47] DOI: 10.1016/S0022-4073(98)00008-9 · doi:10.1016/S0022-4073(98)00008-9
[48] DOI: 10.1364/AO.15.000668 · doi:10.1364/AO.15.000668
[49] DOI: 10.1364/AO.43.001951 · doi:10.1364/AO.43.001951
[50] DOI: 10.1163/156939391X00950 · doi:10.1163/156939391X00950
[51] DOI: 10.1016/j.jqsrt.2008.07.009 · doi:10.1016/j.jqsrt.2008.07.009
[52] DOI: 10.1016/j.cpc.2010.01.010 · Zbl 1205.78022 · doi:10.1016/j.cpc.2010.01.010
[53] DOI: 10.1364/AO.30.000106 · doi:10.1364/AO.30.000106
[54] Deirmendjian D, Electromagnetic Scattering on Spherical Polydispersions (1969)
[55] Arfken GB, Mathematical Methods for Physicists (2007)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.