Ion-beam etching has previously been used to enable coupling of light from an optical fibre to a titanium indiffused waveguide on LiNbO3 [1]. The fibre diameter was reduced so that the fibre could be placed in an ion-etched groove in the LiNbO3 coaxial with the waveguide. Here, an alternative use of ion etching, as a non-contact polishing method, is reported. This is of value in a solution to a problem encountered by Lefevre et al. [2]. They found that Michelson fringes arising from Fresnel reflections at the outputs of an integrated optic phase modulator determined the lower limit of detection of Sagnac fringes in a fibre optic gyroscope. One way to overcome this limit is to cut back one branch of the modulator by more than half the coherence length of the source, so that the reflections are incoherent. However, this leaves the end of the waveguide in a corner inaccessible to conventional end-polishing methods. It was thought that by adjusting the angle of incidence of the ion beam on the sawn surface to the angle for which the etch rate was greatest, 0 . . . . all features would be suppressed and the surface would tend to be flat. Because 0m~, was not known, it had first to be guessed and then inferred from early results. However, in the region of interest for optical coupling, near to the waveguide face, pairs of facets were formed (Fig. 1). The facets were a few micrometres wide and much improved in finish over the original sawn surface (Fig. 2). As yet, however, a facet perpendicular to the waveguide face has not been produced and no measurements of coupling efficiency have been made. The requirement for a perpendicular facet is not likely to be very stringent. Lefevre et al. [2] deliberately introduce a 10 ° lateral misalignment with minimal loss. Thus a facet a few degrees off perpendicular should not be a problem. The etching geometry is shown in Fig. 3. Three angles of incidence, 0, were tried. These were 0 °, 321⁄2 ° and 45 ° . The general pattern for 45 ° etching was two overhanging facets, (Fig. 1) the one meeting the waveguide face being at a lesser angle. For 321⁄2 ° etch-