Fiber optical shape sensor has been widely used in industry because of its high stability and compatibility, and its shape reconstruction algorithm has always been the focus of scientific research. The article investigated shape measurement method of sensing optical fiber based on differential geometry, and discusses the measurement principle of Frenet frame and Rotation Minimizing Frame(RMF) in optical fiber shape sensor, compares the application effects of the above two methods. Analysing the applicability of the two methods in practical engineering application when the sensing fiber is in different deformation forms.
The measurement of the angle between multiple optical axes is achieved by using a parallel light pipe with a Cassegrain structure. And proposed a method for the use of theodolite auxiliary measurement for this system. The system uses the value of deviation x and y of the crosshair on the two-dimensional plane to represent the vertical angle β 'and the horizontal angle α'. We have found the relationship between this variables by establishing a mathematical model and proved the correctness of this relationship is verified through experimental data by building an experiments while verifying the feasibility of the multi-axis consistency measurement method. The experimental data show that the total error of the optical axis is less than 12 ", which accords with the system index, and shows that the measurement method is real and effective.
In This paper, we present an experimental design of measuring thermal expansion coefficient of the
carbon fiber optical tube based on the heterodyne laser interferometry. In the course of the experiment,
the error caused by the temperature changes of the external environment was considered, and the
compensation is carried out. The data of the experiment was recorded and analyzed. The curve of the
thermal expansion coefficient of the carbon fiber optical tube was close. The measurement of the
thermal expansion coefficient was finished within a small range of temperature changes. The thermal
expansion coefficient of the carbon fiber optical tube was 6 0.78 x 10-5m/ ° C − × , which was consistent
with the experience value. Athermalization for the supporting structure of the Cassette optical system
was designed according to the results of the experiment.
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