The subject of optomechanics involves interactions between optical and
mechanical degrees of freedom, and is currently of great interest as an enabler
of fundamental investigations in quantum mechanics, as well as a platform for
ultrasensitive measurement devices. The majority of optomechanical
configurations rely on the exchange of linear momentum between light and
matter. We will begin this tutorial with a brief description of such systems.
Subsequently, we will introduce optomechanical systems based on angular
momentum exchange. In this context, optical fields carrying polarization and
orbital angular momentum will be considered, while for the mechanics, torsional
and free rotational motion will be of relevance. Our overall aims will be to
supply basic analyses of some of the existing theoretical proposals, to provide
functional descriptions of some of the experiments conducted thus far, and to
consider some directions for future research. We hope this tutorial will be
useful to both theorists and experimentalists interested in the subject.Comment: Invited PhD tutorial, J. Phys. B., 33 pages, 13 figures, comments
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