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CylindersFor an infinitely long circular cylinder, the solution of the light scattering problem for the perpendicular incidence was first derived by Rayleigh [418] who returned to this problem once again in his last work [417] written a short time before his death. The problem for oblique incidence was solved in 1955 by J.R. Wait [491] (Kerker [274] at p.256 mentions also the paper of Blank, 1955); a bit later the same result was obtained in [172]). A detailed investigation of light scattering by a cylinder was made in works [41,42,131,153,154,189,190,233,234,326,327,430,438] (homogeneous particles), [134,215,270,274,278] (multi-layered cylinders). Though in principle the separation of variables is possible also for non-circular cylinders (see, e.g., the paper of Rayleigh [419]), numerical methods in this case are more efficient (see below and the papers [380,424]). For an anisotropic cylinder with the coaxial symmetry of the refractive index tensor, no principal differences appear [7,31,34,72]. The exact solution for a thin bianisotropic cylinder was given in [311], for an optically active cylinder in [160], and for magnetized cylindrical plasma in [400]. |
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