One of the main scientific questions that remains unanswered in subatomic physics is the nature and behaviour of the "glue" which holds the quarks together. The puzzling feature of this construction is that quarks are never found free, a phenomenon known as confinement. Since gluons carry colour charge they cause the formation of chromoelectric flux tubes, which may yield unusual objects such as glueballs or hybrids. In certain models the latter can be produced with quantum numbers not allowed in the simple quark model and these are a powerful signature for hybrid meson spectroscopy. An international experiment (GlueX) at Jefferson Lab, Virginia, is being designed to search for such exotic hybrid mesons and thus elucidate the phenomenon of confinement. GlueX is considered a "discovery" experiment; its salient features and the planned methodology of amplitude analysis will be presented.