An optical switch (10) uses composite mirrors (40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60 and 62) having individually addressable pivotable micromirrors (64, 66, 150 and 190) on one side and a fixed mirror arrangement (88, 108 and 110) on another side. Preferably, separate composite mirrors are used in each reflection of an optical beam (38) from an input to an output, with at least one fixed mirror and at least two pivotable mirrors defining the optical path. The function of the first pivotable mirror along the path is to select a target output, while the purpose of the second pivotable mirror is to achieve a low loss coupling to the target output. By combining the fixed mirrors with the micromirror arrays into a single structure, the spacing between adjacent arrays of inputs and the spacing between adjacent arrays of outputs can be reduced. Thus, using the composite mirrors increases the maximum number of optical inputs and outputs for beams having fixed waists.