Guiding interferometer improvements with the frequency-dependent inspiral range

The inspiral range is the most common metric for characterizing the performance of ground-based gravitational-wave interferometers. However, there is no clear formalism for working with frequency-dependent inspiral range quantities. We introduce a metric for the cumulative normalized range of a gravitational-wave interferometer, as well as methods to compare two separate noise curves. We show how this metric is a valuable tool for guiding the commissioning of these interferometers and provides increased clarity compared to other commonly used approaches.