Control and characterization of nano-structures with the symmetries of light
Xavier Zambrana-Puyalto

TL;DR
This thesis presents a systematic method to characterize light beam symmetries and demonstrates their application in controlling nano-scale light-matter interactions through theoretical and experimental approaches.
Contribution
It introduces a systematic framework for characterizing light symmetries and applies it to manipulate nano-scale light-matter interactions with novel experimental techniques.
Findings
Control of high multipolar order resonances
Measurement of circular dichroism with vortex beams
Induction of dual behavior in non-dual samples
Abstract
Light beams can be symmetric under different transformations: translations, rotations, mirror symmetries, duality transformations, etc. In this thesis, a systematic way of characterizing these symmetries is presented. Then, it is shown that light beams symmetric under different transformations can be used to control light-matter interactions at the nano-scale. Particular applications are developed, both theoretically and experimentally. Inducing a dual behaviour on a non-dual sample, the excitation of high multipolar order resonances and the measurement of circular dichroism using vortex beams are among them.
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