Compensation and test of reflective mirror

摘要

Maksutov made a good deal of study in the field that the reflective mirror was used to compensate and test the conicoid mirror, its principle is that normal aberration of conicoid mirror is compensated by reflective mirror. Based on the third-order aberration theory, the initial configuration parameters of the reflective mirror compensator are described in the paper. Assuming spherical aberration coefficient ΣS_1=0, the relations between compensating mirror and the mirror under test are obtained, the surface of compensator may be sphere or ellipsoid. Setting e_1~2 = 0,0.1,0.2,0.3,0.4 . based on the equations the graph of e_2~2/α～β, α r_(01)/r_(02)~β is drew, the relations of β ∝ α, e_1~2, e_2~2, r_(01), r_(02), d_(12) and the initial configuration parameters of compensating mirror are also obtained with the equations and graph. There are two cases about the location of compensator, one is α > 0, α > 1, the compensator is set in front of curvature center of tested mirror; the other is α < 0, the compensator is set in back of curvature center of tested mirror, each case includes β > 0, β = 0, β < 0. By analyzed in detail, all cases of compensator can be got, some cases have been discussed before, others haven't been discovered and discussed. In this way people can understand the mirror compensator comprehensively, which is much good for compensating test.