The deduction of the augmented 5 x 5 matrix describing all the possible angular and decentration misalignment perturbation sources on a spherical prism plane during the refraction is presented in detail for the first time. Combining the augmented matrices and the condition of eigenmode self-consistency, the optical axis perturbation properties (described with the optical axis perturbation sensitivity factor SD1, ST1, SD2, and ST2) in a total reflection prism ring resonator are also analyzed. The singular points of the optical axis perturbation sensitivity factor are found at L/R = 0.417 for the cases where the misalignments may originate from distinguished type of prisms P-1 and P-4 in the resonator, respectively. It is shown that the small errors of the prism can cause large optical axis disturbance in the position of the perturbed singular point and its nearby area, and the disturbance for the case where the misalignments originate from prism P-1 is more violent than that of prism P-4. With some upgrades to find and avoid the singularity of the optical axis in the total reflection prism ring resonator structure successfully, we expect this work will have great potential for designing and optimizing the structure of super-high-precision ring laser gyroscopes. (C) 2018 Optical Society of America
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机译：第一次详细介绍了在折射期间描述了增强的5×5矩阵的延伸，描述了在折射期间的球形棱镜平面上的所有可能的角度和偏移扰动源。结合增强矩阵和特征模自致的条件，还分析了在总反射棱镜环谐振器中的光轴扰动性质（用光轴扰动灵敏度因子SD1，ST1，SD2和ST2描述）。对于在谐振器中分别在谐振器中分别来自谐振器中的棱镜P-1和P-4的分辨类型的棱镜P-1和P-4和P-4的情况，在L / R = 0.417处发现光轴扰动敏感性因子的奇点。结果表明，棱镜的小误差会在扰动奇异点及其附近区域的位置导致大的光轴扰动，以及对棱镜的源于棱镜P-1的情况的干扰比棱镜P-4。随着一些升级来查找和避免光轴的奇异性成功，我们预计这项工作将具有巨大的设计和优化超高精度环形激光陀螺结构的潜力。 （c）2018年光学学会
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