Determination of the Mirrors Control Lawin a Laser Location System

Abstract

Using mirror systems is a common approach to solving the problem of the light beam controlled deflection in optical systems, such as the location and photolithographic systems, and the 3D laser scanners. To control the optical system mirrors, control signals are provided to the system scanning devices according to a certain mathematical law for controlling the mirrors making it possible to deflect the beam at a high speed with a low error in pointing the beam axis at the object. Mathematical law for controlling the mirrors was developed and analyzed from the point of view of the error in pointing to an object. An algorithm for pointing the laser beam axis of the rangefinder system to a retroreflector was described. An algorithm for composing a beam vector transformation matrix by the inclined mirror was proposed, as well as a method for determining the input beam vector transformation matrix by a mirror system rotating around several arbitrary axes. Mathematical law for controlling the laser location system mirrors was found. A method was proposed to determine the error introduced by the location system elements in pointing the laser system beam axis to the retroreflector; besides, the error values for the system under consideration were obtained

Please cite this article in English as:

Zhivotovsky I.V., Bashkatov G.V. Determination of the mirrors control law in a laser location system. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2024, no. 2 (147), pp. 55--69 (in Russ.). EDN: GRMPIR

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