The invention relates to a measuring device, in particular a hand-held measuring device for locating objects enclosed in a medium, using high-frequency electromagnetic signals. Said device comprises a housing (82) and at least one high-frequency sensor, which is located in the housing and has a first antenna assembly (10) containing at least one first antenna element (12), the latter preferably emitting and/or receiving signals on a first polarization plane. According to the invention, the antenna assembly (10) has at least one additional antenna element (14), whose polarization plane is rotated in relation to the polarization plane of the first antenna element (12). The invention also relates to a method for locating objects enclosed in a medium, using high-frequency electromagnetic signals, in particular a method for operating a hand-held locating device comprising a plurality of antenna elements (12, 14; 11, 13), in which the measuring signal can be transmitted and/or received on different polarization planes.