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首先,从激光器凹形反射镜有源稳定共焦腔具有束腰半径而非圆柱形激光束,由此考虑到:激光器谐振腔中光束为且有包括束腰细处呈现双曲线形而非圆柱形是与谐振腔中反射境为凹镜有关的,进而考察有关实验数据,即从(二氧化碳激光器与氖氦激光器)束腰半径与反射镜半径之间的关系这两个特例进行考察,用激光器谐振腔中光线往返传播矩阵计算出谐振腔中心点O往外至反射镜半径之半处O_1到两反射镜边缘连线A~1O_1A为光线近似为零区,而AO_1A’BC’O_(11)CB’A为光线密集区,据对称性可知轴的另一侧的光线密集区的位置。考察结果是:不仅二氧化碳激光器、氖氦激光器,而且一般的共焦腔凹形反射镜激光器的基模束腰半径W_(os)小于OO_1,即Wos小于反射镜半径的一半是一个普遍规律.然后,解释了束腰半径Wos小于反射镜半径一半a/2的原因,最后,解释了《激光原理》中的共焦腔模的场为什么主要集中在反射镜面中心附近很小的区域的原因。
First, the active-stable confocal cavity from the laser concave mirror has a beam waist radius rather than a cylindrical laser beam, thereby taking into account that the laser beam in the cavity is and has a hyperbolic shape including a beam waist rather than a cylinder The shape is related to the fact that the reflecting environment in the cavity is a concave mirror, and then the relevant experimental data, ie the relationship between the waist radius of the (carbon dioxide laser and the neon helium laser) and the radius of the mirror, are investigated. The reciprocal propagation matrix of the light in the resonator calculates the halfway point O out of the resonator to the radius of the reflector. The line A_110_1A at the edge of the reflector is the zero-ray near zero, and the AO_1A’BC’O_ (11) CB ’A is a light-intensive area, according to the symmetry of the axis of the other side of the light-intensive area of the location. The result of the investigation is that not only the carbon dioxide laser but also the neon helium laser, and the general co-cavity cavity mirror laser has a waist radius W os smaller than OO_1, that is, Wos less than half the radius of the mirror is a common law then , Explains why the waist radius Wos is less than half the mirror radius a / 2, and finally explains why the confocal cavity mode field in the “laser principle” is mainly concentrated in a small area near the center of the mirror surface.