Mathematical model establishment of the rotating laser vertical error using spherical triangles method

Weidong Zhang; Qinglei Su; Jiajun Zhang; Bo Li

doi:10.1117/12.2642106

19 December 2022 Mathematical model establishment of the rotating laser vertical error using spherical triangles method

Weidong Zhang, Qinglei Su, Jiajun Zhang, Bo Li

Proceedings Volume 12319, Optical Metrology and Inspection for Industrial Applications IX; 1231905 (2022) https://doi.org/10.1117/12.2642106
Event: SPIE/COS Photonics Asia, 2022, Online Only

Abstract

The article analyzes the composition of the Rotating Laser vertical error based on the vertical plane working principle of the rotating laser and build a three-dimensional coordinate system based on a vertical plane established by optical axes of two collimators which is symmetrically distributed in ±β° relative to horizontal axis. Using the sine and cosine theorems of spherical triangles, the formula of the inclination error of the vertical level plane of the rotating laser is deduced. Using the formation characteristics of cone-angle error, the formula of cone-angle error of horizontal level plane is used as of vertical rotating plane. Finally, we build a mathematical model of the vertical error

Conference Presentation

Citation Download Citation

Weidong Zhang, Qinglei Su, Jiajun Zhang, and Bo Li "Mathematical model establishment of the rotating laser vertical error using spherical triangles method", Proc. SPIE 12319, Optical Metrology and Inspection for Industrial Applications IX, 1231905 (19 December 2022); https://doi.org/10.1117/12.2642106

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