The present paper considers a ring confocal resonator in which the fulfillment of the confocal condition and the spectrum degeneracy are achieved through the use of a concave toroidal reflective surface with specified values of curvature radii in two main meridional sections. Such resonators can be used, in particular, as sensors in resonator micro-optic gyroscopes resonant optical gyroscope. This work is devoted to a review of technologies suitable for manufacturing of ring confocal resonators, and to an estimation of the deviations of the geometric parameters of confocal resonators acceptable during this manufacturing. To achieve this, the Fox and Li method is used, which was earlier modernized to calculate ring resonators with astigmatic reflecting elements.
Rail track geometric parameters measurement requires knowledge of left and right rail head location in each section. First of all displacement in transverse plane of rail head point located at a distance of 14 mm below the running surface, must be controlled [1]. It is carried out by detecting of each rail profile using triangulation laser scanners. Optical image recognition is carried out successfully in the laboratory, approaches used for this purpose are widely known. However, laser scanners operation has several features on railways leading to necessity of traditional approaches adaptation for solving these particular problems. The most significant problem is images noisiness due to the solar flashes and the effect of "Moon path" on the smooth rail surface. Using of optical filters gives inadequate result, because scanner laser diodes radiation frequency varies with temperature changes that forbid the use of narrow-band filters. Consideration of these features requires additional constructive and algorithmic solutions, including involvement of information from other sensors of the system. The specific usage of optical scanners for rail profiles control is the subject of the paper.
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