Abstract : Among the main challenges of gravitational wave (GW) data analysis, the non-uniformity of current GW detector responses is a major concern. Indeed, it strongly limits the efficiency of any network of GW antennas, even though such configurations are mandatory to separate true GW signals from noise fluctuations. This article just aims at giving a complete analytical description of GW detector antenna patterns. Most of its contents can be found elsewhere in the literature, but we thought useful to collect them in a single place with additional details, in order to provide an understanding as complete as possible of this essential basic feature of any GW network data analysis. The two main types of GW detectors -- interferometers and resonant bars -- are considered in this article, as well as both tensorial and scalar GW, the former predicted by the General Relativity while the latter occurs in alternative theories of gravity.