An algorithm that extends the possible size-parameter range for the calculation of plane-wave light scattering from infinite homogeneous circular cylinders by use of Mie-type analysis has been developed. This algorithm is based on the calculation of the ratios of Bessel functions instead of the Bessel functions or their logarithmic derivatives directly. This algorithm agrees with existing methods (when those methods converge). It also converges for large size parameters when other algorithms often do not.
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