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Characterization of the eigenmode frequency spectrum influenced by the polarization states and light field distribution in a nonplanar ring resonator

机译:非平面环形谐振器中受偏振态和光场分布影响的本征模频谱的表征

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We present the evolution of the eigenmode frequency spectrum in a nonplanar ring resonator based on the Jones matrix and the Fresnel-Kirchhoff diffraction integral. Taking the modes TEM(q+1)01 and TEMq10 with different polarization states as examples, we numerically derive the frequency difference between them versus the folding angles of the resonator by considering the polarization and the light field distribution of the eigenmodes synchronously. It can be found that the extreme values of frequency difference between TEM(q+1)01 and TEMq10 are particularly affected by the polarization states of the eigenmode, and the locations of these consecutive extreme values correspond to the total image rotation angle with values of the integer multiple of 90 degrees. Moreover, the influence of the resonator structure on the frequency difference of eigenmodes with the identical polarization state is also analyzed. The results prove that the frequency difference between the fundamental mode and higher order modes declines with the increase of the spherical mirrors' radius of curvature but increases with the augmentation of the resonator's total length. These interesting findings are important for the mode selection in high-accuracy ring laser gyroscopes with nonplanar structure by modulating the polarization states and the light field distribution of the eigenmodes to control the frequency difference between them. (C) 2016 Optical Society of America
机译:我们提出了基于琼斯矩阵和菲涅尔-基尔霍夫衍射积分的非平面环形谐振腔中本征模频谱的演化。以具有不同偏振态的TEM(q + 1)01和TEMq10模式为例,我们通过同步考虑本征模的偏振和光场分布,数值推导了它们之间的频率差与谐振器的折叠角。可以发现,TEM(q + 1)01和TEMq10之间的频率差的极值特别受到本征模偏振态的影响,这些连续极值的位置对应于总图像旋转角,其值为90度的整数倍。此外,还分析了谐振器结构对具有相同偏振态的本征模频率差的影响。结果证明,基本模式和高阶模式之间的频率差随球面镜曲率半径的增加而减小,但随谐振器总长度的增加而增大。这些有趣的发现对于通过调制本征模的偏振态和光场分布以控制它们之间的频率差,对于非平面结构的高精度环形激光陀螺仪的模式选择非常重要。 (C)2016美国眼镜学会

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