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For 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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