Rigorous calculation of scattered field by conductive disk using multiple precision arithmetic -calculation precision and parameter selection

The electromagnetic scattering caused by a circular disk of perfect conductor has been analyzed rigorously and numerical data for scattered fields have been reported for circular disks having radii smaller than 3.0 wavelengths. By introducing multiple precision arithmetic, numerical data are obtained for disks of larger radii. However, multiple precision arithmetic consumes a lot of calculation time. In addition, a number of matrix equations of the large matrix size must be calculated. In this paper, we investigate optimal data lengths, optimal matrix size and the optimal number of matrix equations. As a result, the optimal data lengths, the optimal number of matrix equations and the optimal matrix size linearly increases as the radius of the disk increases.