Hyper-aspheroidal surfaces: two approaches

Abstract

A hyper-aspheroid is a surface of revolution (with a specified vertex curvature) that nears or extends beyond where it’s parallel to the axis. The familiar ‘hyperhemispherical’ is one limiting example, but the superconic and rational Bézier approaches are more flexible. Both will be applied to the redesign of a condenser system from the late Juan Rayces’ Eikonal program but using the author’s own design code.