We propose to record the manifestation of a new geometric phase in Gaussian beam mode transformations. To make this transformation take place we take advantage of the Gouy phase that is found near the waist of a beam. We have constructed a π/2 mode converter that transforms Hermite-Gaussian (HG) to Laguerre-Gaussian (LG) modes. We have verified that an LG mode has an angular momentum associated with it. Currently a π mode converter is under construction that should reverse the angular momentum of the LG mode. We use the two mode converters in combination to return to the HG mode we started with. It is here that we presume to find a phase difference between the initial and final HG beams.