Abstract
This paper discusses the problem of light scattering by an arbitrary axisymmetric
particle in the electrostatic approximation. Since the wave number is assumed to equal
zero, instead of Maxwell’s equations in the framework of the method of separation
of variables, Laplace’s equation for scalar potentials or an equivalent integral
equation was solved in the framework of the method of expanded boundary conditions,
which in essence is a version of the separation-of-variables method. These approaches
made it possible to find rigorous solutions of the problem for axisymmetric particles.
On the assumption of a constant field inside the particle, an approximate solution that
coincides with the exact solution in the case of ellipsoids was also constructed.
Numerical calculations showed that the Rayleigh approximation subsequently constructed
works well in a wide range of values of the parameters of the problem and gives
satisfactory agreement with the results of calculations by the rigorous methods of
scattering theory.
© 2011 OSA
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