Theoretical study of misalignment analysis of the holophote and self-phase locking of axisymmetrical-structural CO2 laser

Based on the principle of the reflection-injection-locking of the external cavity, the self-phase locking mechanisms of the transversal mode and longitudinal mode are studied, respectively. And the excellent coherent beams are obtained. Unfortunately, the misalignment is inevitable, the new cavity axis is established by the 4×4 augmented matrixes when the holophote is in the misaligned state. The overlapping rate, the energy coupling coefficient and the fluctuation of the equiphase surfaces can be considered the main factors of the influence of the misalignment on self-phase locking. And then the distributions of the light intensity are given by the numerical simulation under the condition of the normal and misaligned states, respectively. The results have shown that the effect of the self-phase locking is excellent when the misaligned angle is in a range of tolerance.