Würzburg 2018 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 8: Poster session (permanent)
GR 8.1: Poster
Mittwoch, 21. März 2018, 18:00–19:30, Phys-SR-SE2
Frequency Spectrum of an Optical Resonator in Curved Spacetime — Dennis Rätzel1, •Fabienne Schneiter2, Daniel Braun2, Tupac Bravo1, Richard Howl1, Maximilian P. E. Lock3,1, and Ivette Fuentes4,1 — 1Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria — 2Institut für Theoretische Physik, Eberhard-Karls-Universität Tübingen, 72076 Tübingen, Germany — 3Imperial College, Department of Physics, SW7 2AZ London, United Kingdom — 4School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
We study the effect of a gravitational field and proper acceleration on the frequency spectrum of an optical resonator, both when the resonator is considered to be rigid or deformable. The resonator is modeled as a rod of matter with two attached mirrors at its ends, or as a dielectric rod whose ends function as mirrors. We derive expressions for the frequency spectrum, which is defined through the runtime of light pulses sent back and forth between the mirrors by an observer. For a deformable resonator, the frequency spectrum depends on the speed of sound in the rod supporting the mirrors. The speed of sound approaching infinity corresponds to the assumption of Born rigidity, and the speed of sound approaching the speed of light corresponds to the assumption of a relativistic concept of rigidity. The results may be used for measuring gravitational fields or accelerations based on frequency shifts, and are not limited to weak gravitational fields.