On relations of the T-matrices arising in the axisymmetric problem of light scattering by a spheroid
Farafonov V. G. 1, Il'in V. B. 1,2,3, Turichina D.G.2,3
1Saint-Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
2St. Petersburg State University, St. Petersburg, Russia
3Pulkovo Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia
Email: far@aanet.ru

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The relations between the T-matrices emerging when solving the problem of light scattering by a spheroid by applying the expansions of the electro-magnetic fields in the employing spheroidal and spherical bases are found. The behavior of the obtained relations is numerically studied, and it is noted that in a wide range of the task parameter values the calculation of the spheroidal T-matrix and its corresponding transformation is the only practical way to derive the spherical T-matrix often used in applications. Keywords: light scattering, T-matrix.
  1. O. Dubovik, A. Sinyuk, T. Lapyonok, B.N. Holben, M.I. Mishchenko, P. Yang, T.F. Eck, H. Volten, O. Munoz, B. Veihelmann. J. Geophys. Res. Atmos., 111, D11208 (2006). DOI: 10.1029/2005JD006619
  2. S. Merikallio, H. Lindqvist, T. Nousiainen, M. Kahnert. Atmos. Chem. Phys., 11 (11), 5347 (2011). DOI: 10.5194/acp-11-5347-2011
  3. H. Tang, X.-X. Li. Int. J. Num. Meth. Heat Fluid Flow, 24 (8), 1762 (2014). DOI: 10.1108/HFF-04-2013-0105
  4. N.V. Voshchinnikov, V.B. Il'in, H.K. Das. Mon. Not. Roy. Astron. Soc., 462 (3), 2343 (2016). DOI: 10.1093/mnras/stw1751
  5. Thermo Fisher Scientific [Electronic source]. URL: https://www.thermofisher.com/ru/ru/home/life-science/cell-culture/organoids-spheroids-3d-cell-culture.html
  6. A. Sihvola. J. Nanomater., 2007, 045090 (2007). DOI: 10.1155/2007/74545
  7. R. Hogg. KONA Powder Part. J., 32, 227 (2015). DOI: 10.14356/kona.2015014
  8. B.T. Draine, B.S. Hensley. Astrophys. J., 910 (1), 47 (2021). DOI: 10.3847/1538-4357/abddb7
  9. B. Vandenbroucke, M. Baes, P. Camps, A.U. Kapoor, D. Barrientos, J.-P. Bernard. Astron. Astrophys., 653 (1), A34 (2021). DOI: 10.1051/0004-6361/202141333
  10. H. Chen-Chen, S. Perez-Hoyos, A. Sanchez-Lavega. Icarus., 354 (11), 114021 (2021). DOI: 10.1016/j.icarus.2020.114021
  11. B. Jaiswal, G. Mahapatra, A. Nandi, M. Sudhakar, K. Sankarasubramanian, V. Sheel. Planet. Spa. Sci., 201 (10), 105193 (2021). DOI: 10.1016/j.pss.2021.105193
  12. S. Hofer, H. Mutschke, Th.G. Mayerhofer. Astron. Astrophys., 646 (2), A87 (2021). DOI: 10.1051/0004-6361/202038931
  13. I.R. Ciric, F.R. Cooray. In: Light scattering by nonspherical particles, ed. by M.I. Mishchenko, J.W. Hovenier, L.D. Travis (Academic Press, San Diego, 2000), p. 89
  14. N.V. Voshchinnikov, V.G. Farafonov. Astrophys. \& Space Sci., 204 (1), 19 (1993). DOI: 10.1007/BF00658095
  15. M.I. Mishchenko, L.D. Travis, A. Lacis. Scattering, absorption and emission of light by small particles (Cambridge Univ. Press, Cambridge, 2002)
  16. H.K. Das, N.V. Voshchinnikov, V.B. Il'in. Mon. Not. Roy. Astron. Soc., 404 (1), 265 (2010). DOI: 10.1111/j.1365-2966.2010.16281.x
  17. M. Min. EPJ Web Conf., 102 (1), 00005 (2015). DOI: 10.1051/epjconf/201510200005
  18. A.K. Ospanova, A. Basharin, A.E. Miroshnichenko, B. Luk'yanchuk. Opt. Mater. Expr., 11 (1), 23 (2021). DOI: 10.1364/OME.414340
  19. M.I. Mishchenko, J.W. Hovenier, L.D. Travis. Light scattering by nonspherical particles (Academic Press, San Diego, 2000)
  20. F.M. Kahnert. J. Quant. Spectrosc. Rad. Transf., 79-80 (1), 775 (2003). DOI: 10.1016/S0022-4073(02)00321-7
  21. S. Asano, G. Yamamoto. Appl. Opt., 14 (1), 29 (1975). DOI: 10.1364/AO.14.000029
  22. L.-W. Li, X.-K. Kang, M.-S. Leong. Spheroidal wave functions in electromagnetic theory (John Wiley \& Sons, New York, 2002)
  23. A.A. Abramov, E.D. Kalinin, S.V. Kurochkin. Comput. Math. Math. Phys., 55, 788 (2015). DOI: 10.1134/S0965542515050036
  24. L.A. van Buren. Preprint arXiv.org (math) [Electronic resource]. URL: https://arxiv.org/abs/2009.01618
  25. M.I. Mishchenko. J. Quant. Spectrosc. Rad. Transf., 242, 106692 (2020). DOI: 10.1016/j.jqsrt.2019.106692
  26. C. Bohren, D. Huffman. Absorption and scattering of light by small particles (J. Wiley \& Sons, New York, 1983)
  27. V.G. Farafonov, V.B. Il'in. Light Scatt. Rev., 1, 125 (2006)
  28. V.G. Farafonov. Light Scatt. Rev., 8, 189 (2013). DOI: https://doi.org/10.1007/978-3-642-32106-1_5
  29. V.I. Komarov, L.I. Ponomarev, S.Yu. Slavyanov. Sferoidalnyye i kulonovskiye sferoidalnyye funktsii (Nauka, M., 1976) (in Russian)
  30. C. Flammer. Spheroidal wave functions (Stanford Univ. Press, 1957)
  31. G. Mie. Ann. Phys., 330 (25), 377 (1908). DOI: 10.1002/andp.19083300302
  32. P.W. Barber, S.C. Hill. Light scattering by particles: computational methods (World Scientific, Singaphore, 1990). DOI: 10.1142/0784
  33. V.G. Farafonov. Differents. uravn., 19 (10), 1765 (1983) (in Russian)
  34. V.G. Farafonov, N.V. Voshchinnikov. Appl. Opt., 51 (10), 1586 (2012). DOI: 10.1364/AO.51.001586
  35. V.G. Farafonov, N.V. Voshchinnikov, E.G. Semenova. J. Math. Sci., 214 (3), 382 (2016). DOI: 10.1007/s10958-016-2784-3
  36. M.F. Schulz, K. Stamnes, J. Stamnes. Appl. Opt., 37 (33), 7875 (1998). DOI: 10.1364/AO.37.007875
  37. W.R.C. Somerville, B. Augui\`e, E.C. Le Ru. J. Quant. Spectrosc. Rad. Transf., 174 (1), 39 (2016). DOI: 10.1016/j.jqsrt.2016.01.005
  38. M.I. Mishchenko, L.D. Travis. Opt. Commun., 109 (5), 16 (1994). DOI: 10.1016/0022-4073(96)00002-7
  39. M.A. Yurkin, A.G. Hoekstra. J. Quant. Spectrosc. Rad. Transf., 112 (13), 2234 (2011). DOI: 10.1016/j.jqsrt.2011.01.031

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