Dimensional reduction of mean-field equations for atomic superfluids
Localization of light an avenue for manufacturing advanced photonic devices
Abstract
This project aims at investigating light scattering in two and three dimensions, with a focus on the transition to the Anderson localization regime. Over the past few years, the existence of such a localization phenomenon has been intensely debated, with experimental results being reinterpreted and previous claims retracted, whereas theoretical results suggested the vectorial nature of light may prevent localization. This project is dedicated to theoretical and numerical studies of the 2D and 3D situations, where the scalar versus vectorial nature of light waves can be compared at length, in order to identify clear signatures of a possible localization transition. It also contains an experimental component, where a proposal of 2D waveguide (thin layer) with disorder is planned, which could allow to test, for the first time, the role of polarization in the localization transition for light. (AU)
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