The locus of the ratio of net complex-amplitude external-reflection coefficients for the p and s polarizations of a symmetric three-mirror system as a function of the angle of incidence follows very closely the unit circle in the complex plane when ZnS-coated Ag mirrors are used with a ZnS film thickness d=985.2 nm at 10.6 mu m wavelength. Consequently, such a system performs as an in-line, variable-phase retarder with the quarterwave and halfwave retardations attainable at incidence angles of (51.117 degrees , 72.863 degrees ) and 79.360 degrees , respectively. The associated amplitude diattenuation is negligible (<0.01 dB), and the system performance as a tunable retarder for incident collimated laser radiation is virtually unaffected by film thickness errors of +or-20 nm.