Interplay of Optical Force and Ray-Optic Behavior between Luneburg Lenses

The method of force tracing is employed to examine the optomechanical interaction between two and four Luneburg lenses. Using a simplified analytical model, as well as a realistic numerical model, the dynamics of elastic and fully inelastic collisions between the lenses under the illumination of collimated beams are studied. It is shown that elastic collisions cause a pair of Luneburg lenses to exhibit oscillatory and translational motion simultaneously. The combination of these two forms of motion can be used to optomechanically manipulate small particles. Additionally, it is addressed how fully inelastic collisions of four Luneburg lenses can help us achieve full transparency as well as isolating space to trap particles.