Method for Constructing the Dynamic Frequency Characteristics of Laser Gyrometer with Alternating Frequency Meander Stand
Authors: Sudakov V.F. | Published: 12.08.2016 |
Published in issue: #4(109)/2016 | |
DOI: 10.18698/0236-3933-2016-4-129-141 | |
Category: Physics | Chapter: Optics | |
Keywords: laser gyrometer, the phase equation, stand frequency, frequency response, stand type meander |
Complex (combined) stands with alternating frequency are used in laser gyrometers (LH) to approximate the shape of their frequency characteristics (CH) to an ideal straight line. The known analytical methods for calculating of CH cannot be applied in these cases. It takes unacceptably long to use personal computers (PC). This article offers a method to calculate the dynamic frequency characteristics (VX) for alternating frequency stands. In particular, the increment of the beat signal phase during the period of the stand can be regarded as the rotation angle from the phase plane for the same time. Vector is the solution of an auxiliary linear vector differential equation. Thus, instead of solving nonlinear phase equation the article offers to solve a linear Hamiltonian system of differential equations of the second order. As a result, the most time-consuming part of the calculation is formulated in analytical form. The calculations of the recurrent type take little time and are executed in Mathcad 15. Meander type of stand has been studied repeatedly and its characteristics are well known. Therefore, it is a good option for a test of the proposed method. This article applies the method for the calculation of the dynamic frequency characteristics (VX) for alternating frequency meander stand.
References
[1] Klimontovich Yu.L., Kuryatov V.N., Landa P.S. Wave synchronization in a gas laser with a ring resonator. J. Exp. Theor. Phys., 1967, vol. 24, no. 1, pp. 1-7.
[2] Azarova V.V., Golyaev Yu.D., Savel’ev I.I. Zeeman laser gyroscopes. Quantum Electronics, 2015, vol. 45, no. 2, pp. 171-179.
[3] Sudakov V.F. Theory of a ring laser with varying difference of resonator frequencies. Journal of Applied Spectroscopy (JAS), 1975, vol. 23, iss. 5, pp. 1454-1460. DOI: 10.1007/BF00615854
[4] Birman A.Ya., Naumov P.B., Savushkin A.F., Tropkin E.N. Analysis of the dynamic frequency characteristic of a ring laser based on the Floquet theory. Soviet Journal of Quantum Electronics, 1986, vol. 13, no. 8, pp. 1069-1073.
[5] Khromykh A.M. The dynamic characteristics of ring lasers with a periodic frequency support. Elektron. Tekh. Ser. 11. Lazernaya Tekh. Optoelektron. [Electron. Eng. Laser Technol. Optoelectron.], 1990, vol. 53, no. 1, p. 44 (in Russ.).
[6] Filatov Yu.V. Opticheskie giroskopy [Optical gyroscopes]. Moscow, TsNII Elektropribor Publ., 2005. 139 p.
[7] Schreiber K.U., Gebauer A., Wells J.-P.R. Closed-loop locking of an optical frequency comb to a large ring laser. Optics Letters, 2013, 38 (18), pp. 3574-3577.
[8] Shahriar S.M., Yablon J., Tseng S., Salit M. An inhomogeneously broadened superluminal ring laser for rotation sensing and accelerometry. Frontiers in Optics, 2011, Paper FWZ6.
[9] Long Xingwu, Yuan Jie. Method for eliminating mismatching error in monolithic triaxial ring resonators. Chinese Optics Letters, 2010, 8 (12), pp. 1135-1138.
[10] Fan Zhenfang, Luo Hui, Lu Guangfeng, Hu Shaomin. Dynamic lock-in compensation for mechanically dithered ring laser gyros. Chinese Optics Letters, 2012, 10 (6), p. 061403.
[11] Jie Yuan, Meixiong Chen, Yingying Li, Zhongqi Tan, Zhiguo Wang. Reanalysis of generalized sensitivity factors for optical-axis perturbation in nonplanar ring resonators. Optics Express, 2013, 21 (2), pp. 2297-2306.
[12] Wen Dandan, Li Dong, Zhao Jianlin. Generalized sensitivity factors for optical-axis perturbation in nonplanar ring resonators. Optics Express, 2011, 19 (20), pp. 19752-19757.