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Дата изменения: Fri Nov 19 12:06:58 2010 Дата индексирования: Mon Oct 1 23:26:05 2012 Кодировка: Поисковые слова: http www.starlab.ru showthread.php p 145434 |
SpheroidsIn the scalar Helmholtz equation the variables are separated in 11 physically interesting coordinate systems [55], however for the vector field containing 3 scalar functions, the complete separation of variables is possible only in 6 systems: Cartesian, 3 cylindrical, conical and spherical ones ([55], Ch.13). Therefore, the formal solution suggested in 1927 by F. Moeglich [368] for the spheroidal coordinates was practically usefulness until the work of Sh. Asano and G. Yamamoto in 1975 [141] where the method of separation of variables was adapted for numerical calculations by cutting the infinite linked (only partly separated) systems of equations (in earlier papers [432,433] one considers either scalar scattering, or the axial incidence of the electromagnetic wave). In 1980-1983 V.G. Farafonov [87,88,93] improved the method of Asano-Yamamoto by use of an original scheme of separation of the fields in two types with the invariant angular parts [27]. At the moment the use of both approaches gave large volume of data on the light scattering by spheroidal particles [13,14,15,16,17,89,90,91,92,138,139,140,141,297,323,413,430]. |
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