Abstract
We study light scattering by Gaussian random cylinders in the ray optics approximation. The random shape is fully described by the covariance function, which can be conveniently modelled by three statistical parameters: the standard deviation of radius and the correlation lengths of angular and axial variations. We present a Fourier-series method for generating sample Gaussian cylinders and, by studying the total curvature, develop a criterion for the validity of the ray optics approximation. We outline a ray tracing algorithm that can be adapted to almost arbitrary, mathematically star-like particles in the cylindrical geometry. We study the scattering and absorption properties of Gaussian cylinders much larger than the wavelength by systematically varying their statistical parameters.
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