激光半经典椭圆矢量理论的初步研究

Preliminary investigation of semi-classical elliptical vector laser theory

为了准确描述激光与介质间的相互作用,提出椭圆模式下的半经典矢量理论。从自洽场方程组出发,分析了现有圆矢量理论的局限性,以实际的椭圆偏振模为本征模,推导出椭圆矢量理论公式,并进行了分析讨论。分析表明,椭圆矢量理论比较符合实际物理模型,物理意义明确,在椭圆度为0时演变为圆矢量理论,在半定量上和实验结果符合。这对完善半经典理论和环形激光器研究有一定参考价值。

To describe the interaction of laser and medium accurately, the semi-classical vector theory for elliptical mode is presented. From the self-consistent field equations, the limitations of the circular vector theory are analyzed. Based on the elliptical mode eigenvector, the elliptical vector theory formula is derived and discussed. The discussion shows that, the elliptical vector theory is in accordance with actual physical mode and has specific physical meaning, which evolves into circular vector theory when ellipticity is zero and accords with the experiment results well part-quantitatively. It is helpful to improve the part-classical theory and ring laser.