Method for eliminating mismatching error in monolithic triaxial ring resonators
Several results on optical-axis perturbation and elimination of the mismatching error C of a monolithic triaxial ring resonator (MTRR) are reported. Based on the augmented 5￡5 ray matrix method, by simultaneously considering axial displacement of a mirror and the misalignments in three planar square ring resonators of a MTRR, the rules of optical-axis perturbation are obtained. The mismatching error C of the MTRR is eliminated. The results obtained are important for cavity design, as well as in the improvement and alignment of MTRR.
袁杰：Department of Optoelectronic Engineering, College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha 410073, China
备注：This work was supported by the National Natural Science Foundation of China under Grant Nos. 60608002 and 60608002.
【1】J. Yuan, X. W. Long, and L. M. Liang, Appl. Opt. 47, 628 (2008).
【2】W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, and M. O. Scully, Rev. Mod. Phys. 57, 61 (1985).
【3】M. Faucheux, D. Fayoux, and J. J. Roland, J. Optics (Paris) 19, 101 (1988).
【4】J. C. Stiles and B. H. G. Ljung, “Monolithic three axis ring laser gyroscope” US Patent 4,477,188 (Oct. 16, 1984).
【5】A. E. Siegman, IEEE J. Sel. Top. Quantum Electron. 6, 1389 (2000).
【6】Z. Wang, X. Long, F. Wang, Z. Tan, and F. Xu, Acta Opt. Sin. (in Chinese) 28, 301 (2008).
【7】Z. Wang, X. Long, and F. Wang, Acta Opt. Sin. (in Chinese) 29, 2892 (2009).
【8】Z. Wang, X. Long, F. Wang, and J. Yuan, Acta Opt. Sin. (in Chinese) 29, 3202 (2009).
【9】Z. Wang, X. Long, F. Wang, and Y. Huang, Chinese J. Lasers (in Chinese) 37, 713 (2010).
【10】I. W. Smith, Proc. SPIE 412, 203 (1983).
【11】A. H. Paxton and W. P. Latham, Jr., Appl. Opt. 25, 2939 (1986).
【12】R. Rodloff, IEEE J. Quantum Electron. 23, 438 (1987).
【13】S.-C. Sheng, Opt. Lett. 19, 683 (1994).
【14】J. Yuan, X. W. Long, B. Zhang, F. Wang, and H. C. Zhao, Appl. Opt. 46, 6314 (2007).
【15】J. Yuan and X. W. Long, Opt. Commun. 281, 1204 (2008).
Xingwu Long, Jie Yuan, "Method for eliminating mismatching error in monolithic triaxial ring resonators," Chinese Optics Letters 8(12), 1135-1138 (2010)