Response functions of atom gravimeters
Abstract
Atom gravimeters are equivalent to nonmultilevel cornercube gravimeters in translating the gravity signal into the measurement result. This enables description of atom gravimeters as LTI systems. The system's impulse responses by acceleration, velocity, and displacement are found to have the shape of triangle, meander, and the Dirac comb resp. The effects of inhomogeneous gravity field are studied for constant and linear vertical gradients and selfattraction of the instrument. For the constant gradient the effective measurement height is below the top of the trajectory at 1/6 and 7/24 of its length for the fountain and the release types of the instruments resp. The analysis is expanded to the gravimeters implementing the Bloch oscillations at the apex of the trajectory. In filtering the vibrations these instruments are equivalent to the firstorder lowpass filters, while other atom gravimeters are equivalent to the secondorder lowpass filters.
 Publication:

arXiv eprints
 Pub Date:
 November 2012
 DOI:
 10.48550/arXiv.1211.5598
 arXiv:
 arXiv:1211.5598
 Bibcode:
 2012arXiv1211.5598N
 Keywords:

 Physics  Instrumentation and Detectors;
 Physics  Atomic Physics;
 Physics  Geophysics
 EPrint:
 Submitted for the Proceedings of the GGHS 2012 Symposium