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Nonplanar ring resonator modes: generalized Gaussian beams

机译：非平面环形谐振器模式：广义高斯光束

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摘要

Several findings on the modes of a nonplanar ring resonator have been carried out by utilizing the matrix method of generalized Gaussian beams. The widely used nonplanar ring resonator--a four-equal-sided nonplanar ring cavity with two curvature mirrors and two planar mirrors--has been chosen as an example. The overall stability maps of this typical nonplanar ring cavity with L/R ranging from 0 to infinity are calculated and described, while the total cavity length is L and the radius of the curvature mirrors is R. The stability map has also been found to have asymmetry with total image rotation rho ranging from 0 deg to 360 deg and 0 < L/R < 2. It has also been found that there still exist several stable regions in the extended region with L/R > 2. The Gaussian modes of the nonplanar ring cavity have been found to have different characteristics with different design parameters such as rho and L/R. The azimuth angles of the major and minor axes of the spot size have been found to be variable with different design parameters such as rho and L/R and variable under different location of the nonplanar cavity. These interesting findings are totally different from the behavior of conventional planar stable resonators and are important to the cavity designs of nonplanar ring resonators.
机译：利用广义高斯光束的矩阵方法已经对非平面环形谐振器的模式进行了一些发现。作为示例，选择了广泛使用的非平面环形谐振器-具有两个曲率镜和两个平面镜的四面非平面环形腔。计算并描述了这种典型的非平面环形腔的总体稳定性图，L / R范围为0到无穷大，而腔的总长度为L，曲率镜的半径为R。还发现该稳定性图具有不对称，总图像旋转rho在0度到360度之间，且0 2时，仍然存在几个稳定区域。已经发现非平面环形腔在不同的设计参数（例如rho和L / R）下具有不同的特性。已经发现，光斑尺寸的长轴和短轴的方位角随诸如rho和L / R的不同设计参数而变化，并且在非平面腔的不同位置处变化。这些有趣的发现与常规平面稳定谐振器的行为完全不同，并且对于非平面环形谐振器的腔设计很重要。

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