Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 1


Published
on

December 15, 2021


Pages

884-892


DOI

Article

Application of Forced Modulation Function Mathematical Model in the Characteristic Research of Reflective Intensity Fibre Sensors

Check for updates


Authors

Lihua Dai Affiliation:
Suzhou Vocational Institute of Industrial Technology, Suzhou 215104, China
, Ben Wang Affiliation:
Shure Incorporated., Suzhou 215104, China
, Xuemin Cheng Affiliation:
Suzhou Vocational Institute of Industrial Technology, Suzhou 215104, China
, Qin Wang Affiliation:
Suzhou Vocational Institute of Industrial Technology, Suzhou 215104, China
and Junchang Yu Affiliation:
Dongbei Branch China Construction Eighth Engineering Division Corp., Ltd, Dalian, China


Abstract

In order to discuss the application and mode of the forced modulation function in a sensor, the optical fibre emphasis function was established by referring to the geometric method, the tilt factor and the shape factor of the reflecting surface. These were introduced for the first time, and the corresponding mathematical model was established. The method of numerical simulation is systematically studied and multimode optical fibre parameters (including optical fibre of axial spacing, optical fibre core diameter and numerical aperture) are adopted. The reflective surface inclination and shape factors on the RIM–FOS intensity modulation characteristics are studied according to the obtained light quasi-Gaussian distribution model, establishing a general three-intensity modulation function of fibre optic sensor. The results show that the intensity modulation characteristic of specular reflection is obviously better than that of the diffuse reflection surface, and the peak value of the modulation function is five times that of diffuse reflection. The intensity modulation characteristic decreases with increase in the roughness of the reflection surface. The system can not only complete the RIM–FOS characteristic simulation and characteristic testing functions, but can also start-up the test and not be affected by the ambient light interference and power fluctuation of the light source. The test stability is good with high repeatability.


Keywords

Optical fibre sensor, reflection intensity modulation, mathematical model, 30D99


Citation

Dai, L., Wang, B., Cheng, X., Wang, Q., & Yu, J. (2022). Application of forced modulation function mathematical model in the characteristic research of reflective intensity fibre sensors. Applied Mathematics and Nonlinear Sciences, 7(1), 884–892. https://doi.org/10.2478/amns.2021.1.00073

Published by: Engineering Journals

Engineering Journals Logo