A mathematical toolbox for dark ray optics

摘要

Full control of the dark ray structure of an optical beam requires an adequate mathematical framework to describe its properties. In this presentation we will provide a new set of mathematical tools whose ultimate goal is to complete a full mathematical representation of dark ray optics. Using this mathematical representation we will discuss the different possibilities to achieve full control of the dark rays trajectories using standard optical elements in an analogous way to the manipulation of ordinary bright rays in geometrical optics.