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Sixth-order Longe-Kuta algorithm for the Lang-Kobayashi equation in a two-cavity optical feedback interferometric laser system
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[1]Yu Fangxing,Ji Bo,Cheng Quanrun,et al.Sixth-order Longe-Kuta algorithm for the Lang-Kobayashi equation in a two-cavity optical feedback interferometric laser system[J].Journal of Zhengzhou University (Engineering Science),2021,42(05):37-43.[doi:10.13705/j.issn.1671-6833.2021.05.021]
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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 42卷 Number of periods: 2021 05 Page number: 37-43 Column: Public date: 2021-09-10
Title:
Sixth-order Longe-Kuta algorithm for the Lang-Kobayashi equation in a two-cavity optical feedback interferometric laser system
Author(s):
Yu Fangxing; Ji Bo; Cheng Quanrun; Lu Hongxing; Liu Hongchuan;
School of Information Engineering, Zhengzhou University; School of Electronic Computer and Communication Engineering, Wood London University;
Keywords:
dual-cavity OFI system;  Lang-Kobayashi equation;  sixth-order Runge-Kutta algorithm;  simulation software
CLC:
-
DOI:
10.13705/j.issn.1671-6833.2021.05.021
Abstract:
The dual-cavity optical feedback interference system is often used for high-sensitivity sensing of moving objects. Its dynamic behavior can be solved by the Lang-Kobayashi (L-K) equation, and the accuracy of the solution will have a decisive influence on the measurement accuracy. In order to improve the measurement accuracy of the dual-cavity OFI system for moving objects, a sixth-order Runge-Kutta algorithm to solve the L-K equation is proposed. By analyzing the principle of the numerical solution method of differential equations, more interval points are selected to calculate the average slope of the integral curve on the basis of the fourth-order Runge-Kutta algorithm, so as to make it closer to the real value and further improve the solution accuracy. At the same time, the simulation software of moving object motion detection is designed and implemented based on the optoelectronic signal dual-cavity OFI system for simulation experiments, and the simulation results of the sixth-order Runge-Kutta algorithm is compared with the Euler method and the fourth-order Runge-Kutta algorithm. Experimental results show that compared with Euler′s method, the solution accuracy is improved by about 22% on average; Compared with the fourth-order Runge-Kutta algorithm, the solution accuracy is improved by about 6% on average. The sixth-order Runge-Kutta algorithm can improve the solving accuracy of L-K equation, thus generating more accurate simulation results and improving the sensing sensitivity of the dual-cavity OFI system.
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Last Update: 2021-10-11
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