To completely hide an object within a transformation optics (TO) cloak, a light ray may not leave the cloaked area. A possible realisation of this uses closed-loop light ray trajectories to trap the rays within the device. By investigating these for an ideal lens TO device, we found areas within a cloak that will cause light rays to follow a closed-loop trajectory. Similarly, there are areas which a closed-loop light ray cannot cross. Utilising these, we created a new nested ideal lens cloak which performs omnidirectional cloaking.
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