基于材料色散的广义亚肖洛-汤斯Laser线宽
Generalized Sub-Schawlow-Townes Laser Linewidths Via Material Dispersion
摘要：
最近的S矩阵为基础的理论的量子限制线宽，这是适用于一般的激光器，包括空间非均匀的激光腔工作在阈值以上，在各种限制进行了分析。对于宽带增益，彼得曼和坏腔因素的一个简单的解释提出了在S矩阵的零和极点之间的几何关系。当有大量的色散，在腔寿命的频率尺度上，该理论产生了一个概括的坏腔因子，这是以前推导出的空间均匀的一维激光器。这种效应可以导致具有非常窄的增益宽度的激光器中的亚肖洛-汤斯线宽。我们推导出一个公式的线宽的激光模式功能，它具有精度相媲美的前面的公式涉及的激光极点的残留。这些结果的量子限制线宽是有效的，即使在政权的强线拉和空间烧孔，线宽不能分解成独立的彼得曼和坏腔因子。
英文摘要：
A recent S matrix-based theory of the quantum-limited linewidth, which is applicable to general lasers, including spatially non-uniform laser cavities operating above threshold, is analyzed in various limits. For broadband gain, a simple interpretation of the Petermann and bad-cavity factors is presented in terms of geometric relations between the zeros and poles of the S matrix. When there is substantial dispersion, on the frequency scale of the cavity lifetime, the theory yields a generalization of the bad-cavity factor, which was previously derived for spatially uniform one-dimensional lasers. This effect can lead to sub-Schawlow-Townes linewidths in lasers with very narrow gain widths. We derive a formula for the linewidth in terms of the lasing mode functions, which has accuracy comparable to the previous formula involving the residue of the lasing pole. These results for the quantum-limited linewidth are valid even in the regime of strong line-pulling and spatial hole-burning, where the linewidth cannot be factorized into independent Petermann and bad-cavity factors.
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