A mechanism and method for precisely arranging two or more optical elements, such as those incorporated into photoelastic modulators (PEMs), at a specific angular orientation. The method includes supporting one optical element in an annular mounting member that has an optic axis, and supporting other optical elements in other annular mounting members that have optic axes, and concentrically stacking together the two or more mounting members about a central axis in a manner such that one mounting member may be rotated relative to the others about the central axis and such that the optic axes of the mounting members define an optics angle, and rotating one mounting member relative to the others to define the specific angular orientation of the optical elements.