Application of non-orthogonal bases in the theory of light scattering by spheroidal particles

Light Scattering Reviews 8: Radiative Transfer and Light Scattering

Volumn , Issue , 2013, Pages 189-226

  Farafonov, Victor ^a  

^a SAINT PETERSBURG STATE UNIVERSITY OF AEROSPACE INSTRUMENTATION   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; CLIMATE CHANGE; EARTH ATMOSPHERE; ENVIRONMENTAL TECHNOLOGY; LIGHT; LIGHT SCATTERING; SPHERES; WAVE FUNCTIONS;

ENVIRONMENTAL MONITORING; LIGHT SCATTERING PROBLEM; ORTHOGONAL BASIS; SCIENCE AND TECHNOLOGY; SPHERICAL PARTICLE; SPHERICAL WAVE FUNCTIONS; SPHEROIDAL PARTICLES; VECTOR SPHERICAL WAVES;

ORTHOGONAL FUNCTIONS;

EID: 84974792306     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-642-32106-1_5     Document Type: Chapter

References (48)

1. Andrejewski, W., 1953: Die Beugung electromagnetischerWellen an der leitenden Kreissscheibe und an der kreisformigen Offnung im leitenden ebenen Schirm, Z. angew. Phys., 5, 178-186.
2. Asano, S., and G. Yamamoto, 1975: Light scattering by spheroidal particle, Appl. Opt., 14, 29-49.
3. Barber, P. W., and S. C. Hill, 1990: Light Scattering by Particles: Computational Methods, Singapore: World Scientific.
4. Barber, P. W., and C. Yeh, 1975: Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies, Appl. Opt., 14, 2864-2872.
5. Bohren, C., and D. Huffman, 1983: Absorption and Scattering of Light by Small Particles, New York: John Wiley & Sons.
6. Colton, D., and R. Kress, 1984: Integral Methods in Scattering Theory, New York: John Wiley & Sons.
7. Farafonov, V. G., 1983: Diffraction of a plane electromagnetic wave by a dielectric spheroid, (Sov.) Diff. Equat., 19, 1765-1777.
8. Farafonov, V. G., 1984: Scattering of electromagnetic waves by a perfectly conducting spheroid, (Sov.) Radiotech. Electron., 29, 1857-1865.
9. Farafonov, V. G., 2001: New recursive solution of the problem of scattering of electromagnetic radiation by multilayered spheroidal particles, Opt. Spectr., 90, 743-752.
10. Farafonov, V. G., 2011: A unified approach using spheroidal functions for solving the problem of light scattering by a axisymmetric particles, J. Math. Sci., 175, 698-723.
11. Farafonov, V. G., and V. B. Il’in, 2006: Single light scattering: computational methods, In Light Scattering Reviews, A. A. Kokhanovsky (ed.), Berlin: Springer-Praxis, pp. 125-177.
12. Farafonov, V. G., and S. Y. Slavyanov, 1980: Diffraction of a plane wave by a perfectly conducting spheroid, (Sov.) Radiotech. Electron., 25, 2056-2065.
13. Farafonov, V. G., and N. V. Voshchinnikov, 2012: Light scattering by a multilayered spheroidal particle, Appl. Opt., 51, 1586-1597.
14. Farafonov, V. G., N. V. Voshchinnikov, and V. V. Somsikov, 1996: Light scattering by a core-mantle spheroidal particle, Appl. Opt., 35, 5412-5426.
15. Farafonov, V. G., V. B. Il’in, and A. A. Vinokurov, 2007: On use of the field expansions in terms of spheroidal functions, J. Quant. Spectr. Rad. Transfer, 106, 33-41.
16. Farafonov, V. G., V. B. Il’in, and A. A. Vinokurov, 2010: Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis, Opt. Spectr., 109, 432-443.
17. Flammer, C., 1953: The vector wave function solution of electromagnetic wave by circular discs and apertures. II. The diffraction problems, J. Appl. Phys., 24, 1224-1231.
18. Flammer, C., 1957: Spheroidal Wave Functions, Stanford: Stanford University Press.
19. Hovenier, J. W., K. Lumme, M. I. Mishchenko, N. V. Voshchinnikov, D. W. Mackowski, and J. Rahola, 1996: Computations of scattering matrices of four types of nonspherical particles using diverse methods, J. Quant. Spectr. Rad. Transfer, 55, 695-205.
20. van de Hulst, H. C., 1957: Light Scattering by Small Particles, New York: John Wiley & Sons.
21. Il’in, V.B., N. V. Voshchinnikov, V. G. Farafonov, Th. Henning, and A. Ya. Perelman, 2002: Light scattering tools for cosmic dust modeling, in Videen, G., and M. Kocifaj (eds), Optics of Cosmic Dust, Kluwer Academic Publishers, pp. 71-88.
22. Il’in, V. B., V. G. Farafonov, and E. V. Farafonov, 2007: Extended boundary condition method in combination with field expansions in terms of spheroidal functions, Opt. Spectr., 102, 278-289.
23. Jackson, J. D., 1975: Classical Electrodynamics, New York: John Wiley & Sons.
24. Kahnert, F. M., 2003a: Surface-integral formulation for electromagnetic scattering in spheroidal coordinates, J. Quant. Spectr. Rad. Transfer, 77, 61-78.
25. Kahnert, F. M., 2003b: Numerical methods in electromagnetic scattering theory, J. Quant. Spectr. Rad. Transfer, 79-80, 775-824.
26. Kantorovich, L. V., and V. I. Krylov, 1964: Approximate Methods of Higher Analysis, New York: John Wiley & Sons.
27. Komarov, I. V., L. I. Ponomarev, and S. Yu. Slavyanov, 1976: Spheroidal and Coulomb Spheroidal Functions, Moscow: Nauka.
28. Lopatin, V. N., and F. Ya. Sid’ko, 1988: Introduction in Optics of Cell’s Suspension, Novosibirsk: Nauka.
29. Meixner, J., 1950: Theorie der Beugung electromagnetischer Wellen in der vollkommen leitenden Kreissscheibe und verwandte Problemen, Ann. Phys., 6(7), 157-168.
30. Meixner, J., and W. Andrejewski, 1953: Strenge Theorie der Beugung ebener electromagnetischer Wellen an der vollkommen leitenden Kreissscheibe und an der kreisformigen Offnung im vollkommen leitenden ebenen Schirm. Ann. Phys., 6, 227-236.
31. Meixner, J., and F. W. Schefke, 1954: Mathieusche Funktionen und Scheroid Funktionen, Berlin: Springer Verlag.
32. Meixner, J., F. W. Schefke, and G.Wolf, 1980: Mathieu functions and spheroidal functions and their mathematical foundations. Lect. Notes in Mathem., 837-886.
33. Mishchenko, M. I., L. D. Travis, and D. W. Mackowski, 1996: T-matrix computations of light scattering by nonspherical particles: a review, J. Quant. Spectr. Rad. Transfer, 55, 535-575.
34. Mishchenko, M. I., J. W. Hovenier, and L. D. Travis, 2000: Light Scattering by Nonspherical Particles, San Diego: Academic Press.
35. Mishchenko, M. I., L. D. Travis, and A. Lacis, 2002: Scattering, Absorption and Emission of Light by Small Particles, Cambridge, UK: Cambridge University Press.
36. Morse, P. M., and H. Feshbach, 1953: Methods of Theoretical Physics, NewYork: McGraw-Hill.
37. Onaka, T., 1980: Light scattering by spheroidal grains, Ann. Tokyo Astron. Observ., 18, 1-54.
38. Schultz, F. M., K. Stamnes, and J. J. Stamnes, 1998: Scattering of electromagnetic waves by spheroidal particles: a novel approach exploiting the T-matrix computed in spheroidal coordinates, Appl. Opt., 37, 7875-7896.
39. Seker, S. S., 1986: Radar cross-section of thin dielectric bodies, IEEE Proc., H-133, 305-309.
40. Sinha, B. P., and R. H. McPhie, 1977: Electromagnetic scattering by prolate spheroids for a plane waves with arbitrary polarization and angle of incidence, Radio Sci., 12, 171-184.
41. Stratton, J. A., 1941: Electromagnetic Theory, New York: McGrow-Hill.
42. Voshchinnikov, N. V., 1996: Electromagnetic scattering by homogeneous and coated spheroids: calculations using the separation of variables method, J. Quant. Spectr. Rad. Transfer, 55, 627-636.
43. Voshchinnikov, N.V., and V. G. Farafonov, 1988: Characteristics of radiation scattered by prolate and oblate perfectly conducting spheroids, (Sov.) Radiotech. Electron., 33, 1364-1373.
44. Voshchinnikov, N. V., and V. G. Farafonov, 1993: Optical properties of spheroidal particles, Astrophys. Space Sci., 204, 19-86.
45. Voshchinnikov, N. V., and V. G. Farafonov, 2000: Applicability of quasi-static and Rayleigh approximations for spheroidal particles, Opt. Spectr., 88, 71-75.
46. Voshchinnikov, N. V., and V. G. Farafonov, 2003: Computation of radial prolate spheroidal wave functions using Jáffe’s series expansions, Comp. Math. Math. Phys., 43, 1299-1309.
47. Voshchinnikov, N. V., V. B. Il’in, Th. Henning, B. Michel, and V. G. Farafonov, 2000: Extinction and polarization of radiation by absorbing spheroids: shape/size effects and some benchmarks, J. Quant. Spectr. Rad. Transfer, 65, 877-893.
48. Zakharova, N. T., and M. I. Mishchenko, 2000: Scattering properties of needlelike and platelike ice spheroids with moderate size parameters, Appl. Opt., 39, 5052-5057.