title: Generalized ray matrix for spherical mirror reflection and its application in square ring resonators and monolithic triaxial ring resonators.
abstract: To the best of our knowledge, the generalized ray matrix, an augmented 5×5 ray matrix for a spherical mirror reflection with all the possible perturbation sources including three kinds of displacements and its detailed deducing process have been proposed in this paper for the first time. Square ring resonators and monolithic triaxial ring resonators have been chosen as examples to show its application, and some novel results of the optical-axis perturbation have been obtained. A novel method to eliminate the diaphragm mismatching error and the gain capillary mismatching error in monolithic triaxial ring resonators more effectively has also been proposed. Both those results and method have been confirmed by related experiments and the experimental results have been described with diagrammatic representation. This generalized ray matrix is valuable for ray analysis of various kinds of resonators. These results are important for the cavity design, cavity improvement and alignment of high accuracy and super high accuracy ring laser gyroscopes.
authors: Department of Optoelectronic Engineering, College of Opto-electric Science and Engineering, National University of Defense Technology, Hunan 410073, China. jieyuan@nudt.edu.cn
authors: Jie
authors: J
authors: Yuan
authors: Xingwu
authors: X
authors: Long
authors: Meixiong
authors: M
authors: Chen
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D007834:Lasers; D007909:Lenses; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation; D014159:Transducers