Optimization Problem for the Parameters of Mirror Collimator with Blended Rounded Edges

This paper considers the direct problem of modeling the electromagnetic field reflected from a cylindric mirror with a complex symmetric or asymmetric cross section. The problem is solved for different frequencies and polarizations of the incident wave at fixed geometric parameters of the mirror, including the parameters of blended rounded edges. In addition, the obtained mirror models are used as initial approximations for solving the problem of finding a collimator with optimal rounding parameters both for one frequency of the incident wave and for a set of frequencies.