Atomic clocks, cold atoms and gravitational waves.- Part 1: Cavities for Optical Atomic Clocks.- Thermal-noise-limited room-temperature ULE cavity.- Isolation from external perturbations.- Measuring resonator stability.- Part 2: Cavities for Atom Interferometry.- Cavity atom optics.- Fundamental limitations of cavity-assisted atom interferometry.- Gravitational wave detection with cavity-assisted atom interferometry.- 4-mirror large-waist cavity with tuneable stability for enhanced atom interferometry.- Part 3: Cavities for Gravitational-wave Detection.- Near-unstable cavities for future gravitational wave detectors.- Modelling parametric instabilities at Advanced LIGO and ET.- Summary and conclusions.- Appendix.
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