[1]于芳星,姬波,CHENG Quanrun,等.双腔光反馈干涉激光系统中Lang-Kobayashi方程的六阶龙格-库塔算法[J].郑州大学学报(工学版),2021,42(05):37-43.[doi:10.13705/j.issn.1671-6833.2021.05.021]
　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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双腔光反馈干涉激光系统中Lang-Kobayashi方程的六阶龙格-库塔算法()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
42卷
期数:
2021年05期
页码:
37-43
栏目:
出版日期:
2021-09-10

文章信息/Info

Title:
Sixth-order Longe-Kuta algorithm for the Lang-Kobayashi equation in a two-cavity optical feedback interferometric laser system
作者:
于芳星; 姬波; CHENG Quanrun; 卢红星; 柳宏川
郑州大学信息工程学院;伍伦贡大学电子计算机与通信工程学院;
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;
关键词:
Keywords:
dual-cavity OFI system;  Lang-Kobayashi equation;  sixth-order Runge-Kutta algorithm;  simulation software
DOI:
10.13705/j.issn.1671-6833.2021.05.021
文献标志码:
A
摘要:
光反馈自混合干涉效应在光电信号处理中具有广泛应用。其中，双腔光反馈系统常用于移动物体的高灵敏度感测，其动态行为可通过Lang-Kobayashi (L-K)方程求解，而求解精度会对测量准确性产生决定性影响。因此，本文提出了一种光电信号双腔OFI系统L-K方程的六阶龙格-库塔算法，并将其应用于移动物体运动检测仿真软件中。实验结果表明：该算法提高LK方程求解精度，从而给出更精确的仿真结果；与欧拉法相比，求解精度平均提高了约22%；与四阶龙格库塔算法相比，求解精度平均提高了约6%。本文为开发激光传感提供了有力的工具。
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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更新日期/Last Update: 2021-10-11