A multi-physics approach for the analysis and design of optomechanical cavities

In this contribution, we report on numerical simulation of a multi-physic Electromagnetic/Mechanical problem, as a further step towards the development of GHz circuits based on phonon propagation at micro-and nano-scale. In the future, this kind of circuits is likely to integrate opto-mechanically pumped phonon sources and detectors, as well as phonon processing components (waveguides, splitters, memories) to process information by means of phonons. In particular, we propose a rigorous approach for the solution of the electromagnetic/mechanical system of equations governing light behavior in opto-mechanical cavities, with the help of the Transformation Optics (TO) method. Such kind of calculation allows the development of an efficient generation of GHz to tens of GHz coherent phonon sources, by engineering their propagation or coupling with phonon waveguide