Tilt angle measurement with a Gaussian-shaped laser beam tracking

We have addressed the challenge to carry out the angular tilt stabilization of a laser guiding mirror which is intended to route a laser beam with a high energy density. Such an application requires good angular accuracy as well as large operating range, long term stability and absolute positioning....

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Šarbort, Martin, Šimon Řeřucha, Jedlička, Petr, Lazar, Josef, Číp, Ondrej
Format: Article
Language:English
Subjects:
Algorithms
Error analysis
Gaussian beams (optics)
Laser beams
Lasers
Numerical analysis
Position measurement
Triangulation
Online Access:Get full text
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Summary:We have addressed the challenge to carry out the angular tilt stabilization of a laser guiding mirror which is intended to route a laser beam with a high energy density. Such an application requires good angular accuracy as well as large operating range, long term stability and absolute positioning. We have designed an instrument for such a high precision angular tilt measurement based on a triangulation method where a laser beam with Gaussian profile is reflected off the stabilized mirror and detected by an image sensor. As the angular deflection of the mirror causes a change of the beam spot position, the principal task is to measure the position on the image chip surface. We have employed a numerical analysis of the Gaussian intensity pattern which uses the nonlinear regression algorithm. The feasibility and performance of the method were tested by numeric modeling as well as experimentally. The experimental results indicate that the assembled instrument achieves a measurement error of 0.13 microradian in the range +-0.65 degrees over the period of one hour. This corresponds to the dynamic range of 1:170 000.
ISSN:2331-8422
DOI:10.48550/arxiv.2210.13224