“…In the present work we analyze the ray trajectories in a single LL and subsequently we use this analysis in waveguides build exclusively through LLs. Specifically, in the next section we present analytical approaches for the trajectories traversing a LL [1,2,3,7,8,10,15,16,17,18,19] and derive explicitly a solution expressing the ordinate of the trajectory as a function of the abscissa in Cartesian coordinates. In section 3 we introduce the main point of the present work, viz.…”