Compensation and test of reflective mirror

Peiming Hao; Lianxiao Fu; Liyin Yuan; Weiwei Li; Baozhu Pan

doi:10.1117/12.676410

19 May 2006 Compensation and test of reflective mirror

Peiming Hao, Lianxiao Fu, Liyin Yuan, Weiwei Li, Baozhu Pan

Proceedings Volume 6150, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment; 615017 (2006) https://doi.org/10.1117/12.676410
Event: 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies, 2005, Xian, China

Abstract

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 ΣS₁=0, the relations between compensating mirror and the mirror under test are obtained, the surface of compensator may be sphere or ellipsoid. Setting e₁² = 0,0.1,0.2,0.3,0.4. based on the equations of the graph of e₂²/α ~ β, αr₀₁/r₀₂ ~ β is drew, the relations of β ∝ α, e₁², e₂², r₀₁, r₀₂, d₁₂ 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.

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Peiming Hao, Lianxiao Fu, Liyin Yuan, Weiwei Li, and Baozhu Pan "Compensation and test of reflective mirror", Proc. SPIE 6150, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 615017 (19 May 2006); https://doi.org/10.1117/12.676410

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KEYWORDS

Mirrors

Reflectivity

Optical spheres

Aberration theory

Geometrical optics

Monochromatic aberrations

Optical testing

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