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  • Received: Jan. 11, 2014

    Accepted: Apr. 23, 2014

    Posted: Jun. 26, 2014

    Published Online: Jun. 26, 2014

    The Author Email:

    DOI: 10.3788/col201412.071201

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    Tong Zhang, Qibo Feng, Cunxing Cui, Bin Zhang. Research on error compensation method for dual-beam measurement of roll angle based on rhombic prism (Invited Paper)[J]. Chinese Optics Letters, 2014, 12(7): 071201

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Chinese Optics Letters, Vol. 12, Issue 7, 071201 (2014)

Research on error compensation method for dual-beam measurement of roll angle based on rhombic prism (Invited Paper)

Tong Zhang, Qibo Feng, Cunxing Cui, and Bin Zhang

Author Affiliations

    Abstract

    The fabrication deviation of prisms and the error crosstalk are two major factors that produce serious systematic errors in dual-beam roll measurement based on a rhombic prism, and an error compensation method is put forward in this letter to reduce these systematic errors. The rotation matrix, reflection matrix, and refraction matrix are used to calculate and obtain the mathematical relationship model of the roll angle as well as the fabrication deviation of prism and error crosstalk. The fabrication deviation can be obtained through comparison experiments and using the least square method. In this way, the systematic error of the roll measurement caused by fabrication deviation of prism and error crosstalk can be eliminated theoretically. The experimental results show that the maximum error of the roll angle measurement reduces evidently to 3.5′′ from the previous 347.2′′ after compensation.

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