Abstract
We present a model for the propagation of optical beams in a nematic droplet. For a low intensity electromagnetic field, we first derive an analytical asymptotic expression for the configuration of a nematic droplet that satisfies hard-anchoring, bipolar boundary conditions. Then, from Maxwell's equation, we find the corresponding eikonal equation valid in the limit of geometrical optics. From the latter equation we find the ray trajectories for the radial and bipolar configurations for various sets of initially parallel rays, and show how they are deflected by a nematic droplet. We also find the presence of caustics and return points, whose positions depend on the initial conditions. Finally, we summarize our results.
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