By using a three-mirror arrangement, one of which is planar and two of which are spherical (paraboloidal), discrimination against transverse as well as longitudinal modes can be shown. Suitable design parameters are obtained.
Melvin Lax, William H. Louisell, and William B. McKnight, "Transverse-mode discrimination in three-mirror resonators," J. Opt. Soc. Am. 63, 1544-1549 (1973)