Properties of Focons with a Linear Generatrix: I. The Number of Reflections and the Path Length of a Meridional Ray

摘要

New formulas are obtained for the cases most frequently encountered in practice that allow one to find the number of reflections and the path length of a meridional ray in a hollow focon with a linear generatrix and a specular-reflecting inner side surface. By using a meridional-ray invariant, formulas were obtained that are free of any restrictions usually imposed on the focon conicity.