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.
© 2014 Chinese Optics Letters
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