Paraxial optics cloak using four converging lenses with arbitrary focal lengths

Abstract

In this paper, we achieved cloaking with four converging lenses of any focal length by solving the ray transfer matrix of a four lens optical system. It has been shown before that cloaking can be achieved using four converging lenses (so-called Rochester cloaks) but such cloaks required having 2 sets of 2 lenses with equal focal lengths, which we did not impose. We also discuss how the separation lengths between the lenses are affected by their focal lengths. In addition, we show how our formula holds under Rochester cloak condition.