Beschreibung
A Stradivarius violin derives its wonderful sound quality from its shape, from the specific choice of materials making up the sound body, and from the way the sound propagates from the multiresonant surfaces and cavities of the sound body towards our ears. The rich emitted sound contains multiple, well balanced overtones that together form the violin’s unique spectral response.We imagine that one could use the sound of a Stradivarius to derive a specification of its shape and material composition, an inverse mathematical problem. To be able to do so numerically we would at least have to be able to simulate the underlying forward physical problem accurately enough, and we would have to find a mathematical measure for optimality to judge the direction of topology evolution. In this project we tackle this underlying numerical problem, but for a much simpler task than the Stradivarius, involving only a few selected resonances of specific miniaturized technical systems that either couple electromechanics with electronics (energy harvesting), or couple spin magnetisation with resonator electronics (nuclear magnetic resonance), and for which predictable resonant behaviour is crucial to the application.